INTRODUCTION TO PRE-ALGEBRA1st 9 Weeks

WARM UP – DAY 1

1. 21 - 2(3)2. 4 + 3 ∙ 93. 2(9) + 34. 6(1.4) + 125. 7 (2.9) - 5

STANDARD 3

Use order of operations to evaluate and simplify algebraic expressions.

Applying the substitution principle Applying the properties of operations on rational

numbers to evaluate and simplify algebraic expressions.

VOCABULARY

1. Variable2. Coefficient3. Term (in an expression)4. Constant5. Inequality6. Base (in numeration)7. Exponent8. Algebraic expression

I. EVALUATE EACH EXPRESSION FOR THE GIVEN VALUE OF THE VARIABLE.

A. x – 5 for x = 12

B. 2y + 1 for y = 4

C. 6(n + 2) – 4 for n = 5, 6, and 7

II. EVALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES.

1. 4x + 3y for x = 2 and y = 12. 9r – 2p for r = 3 and p = 5

3. If t = 7, solve the following problems. t + 3 18 – t 21/t 3t – 5 + 1 2t - 4

4. Let a = 4, b = -2, c = 5 and d = 10. Solve the problems.

4a + 2c 3bc – d d – 2a

WRITE ABOUT IT

1. Compare these expressions 2x + 9 and 5(3+8). How are they different?

2. What does “7y” mean?

HOMEWORK: COPY THESE IN YOUR NOTEBOOK

I. In the following problems, t = 7. Solve the problems.

1. 9t ÷ 3 4. 2.

5. 4t + 5t3. 5t + 6 6.

II. In the following problems a = 4, b = -2, c = 5 and d=10.

7.8. abd9. 5c – ad10.

WARM UP – DAY 2

Evaluate each expression for the given values of the variables.

1. 9y – 13 for y = 42. 6n + 2p for n = 2 and p = 33. 3x – y for x = 1 and y = 2

4. Find a pair of numbers that fits the description. Their product is 221 and their sum is 30.

CHECK HOMEWORK….

1. 9 (From p. 6)15. 4 gal 2. 7 16. 6 gal3. 41 17. 2 gal 4. 7 18. 8 gal 5. 636. 14 (From p. 7) 56. Yes, when

x=27. 18 both expressions

have a 8. -80 value of 4.9. 1510. 111

Score: Out of 10 points

WRITING ALGEBRAIC EXPRESSIONS

Additionaddincreasedmore**more thanplus sumtotal

Subtractiondecreased differenceless**less thanleftlower thanminus

Multiplicationdoublehalf producttimestripletwice

Divisiondivide into, by or amongquotient

Also: are/is – means “equal”

I. WRITE AN ALGEBRAIC EXPRESSION FOR EACH WORD PHRASE.

A. The product of 8 and a number n

B. 9 less than a number w

C. 3 increased by the difference of p and 5

D. 24 decreased by the product of 6 and q

E. 2 more than yF. 2 divided into yG. 2 less than yH. twice yI. the quotient of y and 2J. y increased by 2K. 2 less yL. the product of 2 and y

II. WRITE AN EXPRESSION FOR THE WORD PROBLEM.

1. Jared worked for h hours at the pay rate of $5 each hour. Write an expression to determine how much money Jared earned.

2. How much money will he earn if he works a total of 18 hours?

3. Ron bought two comic books on sale. Each comic book was discounted $1 off the regular price r. Write an expression to find what Ron paid before taxes. If each comic book was regularly $2.50, what was the total cost before taxes?