140
Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5

Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

  • Upload
    others

  • View
    3

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Lesson #4 Unit 1Class Worksheet #4For Worksheet #5

Page 2: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

Page 3: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 ⋅ 7 = 72

Page 4: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

Page 5: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

Page 6: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

Page 7: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

Page 8: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

Page 9: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

x = x1

x ⋅ x = x2

x ⋅ x ⋅ x = x3

x ⋅ x ⋅ x ⋅ x = x4

x ⋅ x ⋅ x ⋅ x ⋅ x = x5

Page 10: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

x = x1

x ⋅ x = x2

x ⋅ x ⋅ x = x3

x ⋅ x ⋅ x ⋅ x = x4

x ⋅ x ⋅ x ⋅ x ⋅ x = x5

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

Page 11: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

x = x1

x ⋅ x = x2

x ⋅ x ⋅ x = x3

x ⋅ x ⋅ x ⋅ x = x4

x ⋅ x ⋅ x ⋅ x ⋅ x = x5

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

factors

Page 12: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

x = x1

x ⋅ x = x2

x ⋅ x ⋅ x = x3

x ⋅ x ⋅ x ⋅ x = x4

x ⋅ x ⋅ x ⋅ x ⋅ x = x5

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

factors

exponent

Page 13: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Exponents and Factors

7 = 71

7 ⋅ 7 = 72

7 ⋅ 7 ⋅ 7 = 73

7 ⋅ 7 ⋅ 7 ⋅ 7 = 74

7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 = 75

4 = 41

4 ⋅ 4 = 42

4 ⋅ 4 ⋅ 4 = 43

4 ⋅ 4 ⋅ 4 ⋅ 4 = 44

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

x = x1

x ⋅ x = x2

x ⋅ x ⋅ x = x3

x ⋅ x ⋅ x ⋅ x = x4

x ⋅ x ⋅ x ⋅ x ⋅ x = x5

4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 = 45

factors

exponent

base

Page 14: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

Algebra I Unit 1 Exponents and Factors

Page 15: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

Algebra I Unit 1 Exponents and Factors

Page 16: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

Algebra I Unit 1 Exponents and Factors

Page 17: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3

Algebra I Unit 1 Exponents and Factors

Page 18: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3

Algebra I Unit 1 Exponents and Factors

Page 19: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4

Algebra I Unit 1 Exponents and Factors

Page 20: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

Algebra I Unit 1 Exponents and Factors

Page 21: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

Page 22: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

Page 23: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

Page 24: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

6

Page 25: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

6

Page 26: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

a5 6

Page 27: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

6 a5

Page 28: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

6 a5 c4

Page 29: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

b c46 a5

Page 30: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________

6 ⋅ b c4⋅⋅a5

Page 31: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplifying Algebraic Expressions

x ⋅ x ⋅ x ⋅ y ⋅ y ⋅ y ⋅ y = ______________

x3 y4⋅

x3y4

Algebra I Unit 1 Exponents and Factors

3 ⋅ 2 ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ b ⋅ c ⋅ c ⋅ c ⋅ c = ______________6a5bc4

a5 b ⋅⋅ c46 ⋅

Page 32: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Properties of Zero

Page 33: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Properties of Zero

Zero and Addition

Page 34: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 + 0 = 7 5 + 0 = 5 0 + 3 = 3 0 + 8 = 8

Algebra I Unit 1 Properties of Zero

Zero and Addition

Page 35: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 + 0 = 7 5 + 0 = 5 0 + 3 = 3 0 + 8 = 8

Algebra I Unit 1 Properties of Zero

Zero and Addition

Rule: x + 0 = x and 0 + x = x.

Page 36: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 + 0 = 7 5 + 0 = 5 0 + 3 = 3 0 + 8 = 8

Algebra I Unit 1 Properties of Zero

Zero and Addition

Rule: x + 0 = x and 0 + x = x.

The Identity Law of Addition

Page 37: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Properties of Zero

Zero and Addition

Page 38: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

8 + -8 = 0 3 + -3 = 0 -2 + 2 = 0 -5 + 5 = 0

Algebra I Unit 1 Properties of Zero

Zero and Addition

Page 39: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

8 + -8 = 0 3 + -3 = 0 -2 + 2 = 0 -5 + 5 = 0

Algebra I Unit 1 Properties of Zero

Zero and Addition

Rule: x + -x = 0

Page 40: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

8 + -8 = 0 3 + -3 = 0 -2 + 2 = 0 -5 + 5 = 0

Algebra I Unit 1 Properties of Zero

Zero and Addition

Rule: x + -x = 0

The Inverse Law of Addition

Page 41: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Properties of Zero

Zero and Subtraction

Page 42: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 – 0 = 7 5 – 0 = 5

Algebra I Unit 1 Properties of Zero

Zero and Subtraction

Page 43: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 – 0 = 7 5 – 0 = 5 0 – 3 = -3 0 – 8 = -8

Algebra I Unit 1 Properties of Zero

Zero and Subtraction

Page 44: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 – 0 = 7 5 – 0 = 5 0 – 3 = -3 0 – 8 = -8

Algebra I Unit 1 Properties of Zero

Zero and Subtraction

Rule: x – 0 = x

Page 45: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

7 – 0 = 7 5 – 0 = 5 0 – 3 = -3 0 – 8 = -8

Algebra I Unit 1 Properties of Zero

Zero and Subtraction

Rule: x – 0 = x and 0 – x = -x

Page 46: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Unit 1 Properties of ZeroZero and Division

Page 47: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6.

Algebra I Unit 1 Properties of ZeroZero and Division

Page 48: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because

Algebra I Unit 1 Properties of ZeroZero and Division

Page 49: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Page 50: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0.

Page 51: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.

Page 52: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !!

Page 53: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Page 54: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0.

Page 55: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0.

Page 56: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !!

Page 57: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Page 58: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Page 59: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5.

Page 60: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5. The answer, if it exists must multiply by 5 to give a product of 0.

Page 61: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5. The answer, if it exists must multiply by 5 to give a product of 0. Clearly the answer is 0.

Page 62: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5. The answer, if it exists must multiply by 5 to give a product of 0. Clearly the answer is 0. Similarly, 0 ÷ 8 = 0 and 0 ÷ 7 = 0.

Page 63: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5. The answer, if it exists must multiply by 5 to give a product of 0. Clearly the answer is 0. Similarly, 0 ÷ 8 = 0 and 0 ÷ 7 = 0.

Rule: If x ≠ 0, then 0 ÷ x = 0.

Page 64: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Consider the division problem 18 ÷ 6. The answer is 3 because 3 · 6 = 18.

Algebra I Unit 1 Properties of ZeroZero and Division

Rule: Division by zero is undefined.

Now try the division problem 5 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 5.Clearly this number does not exist !! We say that 5 ÷ 0 is undefined.

Now try the division problem 0 ÷ 0. The answer, if it exists, must multiply by 0 to give a product of 0. Clearly, any number works !! We say that 0 ÷ 0 is also undefined.

Consider the division problem 0 ÷ 5. The answer, if it exists must multiply by 5 to give a product of 0. Clearly the answer is 0. Similarly, 0 ÷ 8 = 0 and 0 ÷ 7 = 0.

Rule: If x ≠ 0, then 0 ÷ x = 0. (Zero divided by any other number is zero.)

Page 65: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

Page 66: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

Algebra I Class Worksheet #4 Unit 1

Page 67: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

Page 68: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

Page 69: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

Page 70: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

x5

Page 71: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

x5

Page 72: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 73: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 74: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 75: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

(5 · 3)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 76: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15

(5 · 3)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 77: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15

(5 · 3) · (a · a)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 78: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2

(5 · 3) · (a · a)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 79: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 80: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 81: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 82: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

Page 83: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

(2 · 4)

Page 84: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8

(2 · 4)

Page 85: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8

(2 · 4) · (x · x · x · x · x)

Page 86: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5

(2 · 4) · (x · x · x · x · x)

Page 87: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5

(2 · 4) · (x · x · x · x · x) · y

Page 88: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 89: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 90: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 91: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

(3 · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 92: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 93: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 94: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 95: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 96: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 97: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 98: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 99: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 100: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 101: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

(2 · 4) · (x · x · x · x · x) · y

Page 102: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

12

(2 · 4) · (x · x · x · x · x) · y

Page 103: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4) · (x · y)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

12

(2 · 4) · (x · x · x · x · x) · y

Page 104: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4) · (x · y)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

12xy

(2 · 4) · (x · x · x · x · x) · y

Page 105: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4) · (x · y)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

12xy

(2 · 4) · (x · x · x · x · x) · y

Page 106: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Simplify each of the following. (Remember that you can change the order and the grouping of the factors using the commutative and the associative properties of multiplication.)

1. p · p · p · p · p · p · p · p = 2. x · x · x · x · x · y · y · y =

3. 5 · a · a · 3 · b · b · b = 4. 2 · x · x · x · x · x · 4 · y =

5. (3x)(4x) = 6. (3x)(4y) =

p8

15a2b3

12x2

(5 · 3) · (a · a) · (b · b · b)

(3 · x) · (4 · x) = (3 · 4) · (x · x) (3 · x) · (4 · y) = (3 · 4) · (x · y)

Algebra I Class Worksheet #4 Unit 1

x5y3

8x5y

12xy

(2 · 4) · (x · x · x · x · x) · y

Page 107: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 108: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 109: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 110: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2

32

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 111: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2

32

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 112: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

32

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 113: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

32 1

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 114: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

32 1

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 115: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

32 1

4

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 116: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

32 1

4

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 117: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 118: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 119: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 =

Page 120: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 = 0

Page 121: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 = 0

Page 122: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 = not possible0

Page 123: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

2 · 2 · 2 · 2 · 2 1 · 1 · 1

10 · 10 · 10

32 1

4 1,000

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

7. 25 = 8. 13 =

9. 41 = 10. 103 =

11. 0 ÷ 8 = 12. 8 ÷ 0 = not possible0

Page 124: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

x – 5x + 5 =

Page 125: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

x – 5x + 5 =

Page 126: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

Algebra I Class Worksheet #4 Unit 1

5 ÷ 5

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

x – 5x + 5 =

Page 127: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

1

Algebra I Class Worksheet #4 Unit 1

5 ÷ 5

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

x – 5x + 5 =

Page 128: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 =

5 ÷ 5

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 129: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 =

5 ÷ 5 0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 130: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 = 0

5 ÷ 5 0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 131: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

5 ÷ 5

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 = 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 132: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

5 ÷ 5

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 = 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 133: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

0

5 ÷ 5

1

Algebra I Class Worksheet #4 Unit 1

x – 5x + 5 = 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 134: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

1

Algebra I Class Worksheet #4 Unit 1

0

5 ÷ 5

x – 5x + 5 = 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 135: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

1

Algebra I Class Worksheet #4 Unit 1

0

5 ÷ 5

x – 5x + 5 = 0

5 ÷ 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 136: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

1

Algebra I Class Worksheet #4 Unit 1

0

5 ÷ 5

not possible

x – 5x + 5 = 0

5 ÷ 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 137: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

1

Algebra I Class Worksheet #4 Unit 1

0

5 ÷ 5

not possible

x – 5x + 5 = 0

5 ÷ 0

0 ÷ 10

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 138: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·

10 · 0

1

Algebra I Class Worksheet #4 Unit 1

0

5 ÷ 5

not possible

x – 5x + 5 = 0

5 ÷ 0

0 ÷ 10

Good luck on your homework !!

Find the value of each expression when x = 5. If the value cannot be found, write ‘not possible’. (Evaluate means to ‘find the value of ’.)

13. x ÷ 5 = 14.

15. (x + 5)(x – 5) = 16. 5 ÷ (x – 5) =

Page 139: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·
Page 140: Algebra I Lesson #4 Unit 1 Class Worksheet #4 For Worksheet #5richardbondmath.com/algebra1/Unit1/lesson4.pdf · Consider the division problem 18 ‚ 6. The answer is 3 because 3 ·