Lesson 1C ~ Simplifying Fractions Challenge WS.pdfLesson 1C ~ Simplifying Fractions . Name___ Period_ Date___ Factor trees can be used to find the GCF. Look at 12 and 18. To

Lesson 1C ~ Simplifying Fractions

Name__________________________________________ Period______ Date____________ Factor trees can be used to find the GCF. Look at 12 and 18. To make a factor tree for 12, think of two factors that have a product of 12. Circle any factors that are prime. Find two factors for the remaining factors of 12 until only primes remain. Repeat the process for 18. Write the prime factors of each number.

Underline all number in common. 12 18 Be careful to include repeating numbers. 4 3 2 9 32212 ××=

©2010 SMC Curriculum Oregon Focus on Rational Numbers & Equations

2 2 3 3 33218 ××=

Since 12 and 18 have the product of 2 and 3 in common, their GCF is . 632 =× Use factor trees to find the greatest common factor (GCF) of each pair of numbers. Show all work. 1. 24 and 30 2. 16 and 28 3. 50 and 60 4. 75 and 100 Create a fraction that satisfies the given qualities.

5. Write a fraction that simplifies to 87 . The numerator must be divisible by 5.

6. Write a fraction that is equivalent to 3412 . The sum of the numerator and denominator is 138.

7. Write a fraction that simplifies to 51 . The denominator must be four less than seven squared.

8. Write a fraction that is equivalent to 6448 . The difference between the numerator and denominator

is 2.

Lesson 2C ~ Mixed Numbers and Improper Fractions

Name__________________________________________ Period______ Date____________

Each fraction is written in an unacceptable format. Rewrite each fraction as a mixed number and an improper fraction in simplest form. 1. 2

54 2. 4111

3. 8

1211 4. 6408

Write a mixed number that falls between the given set of numbers. 5. 2

13 and 433 6. 5

41 and 2

7. 879 and 8

110 8. 49 and

37

9. 5

17 and 27 10. 5 and

631

Write an improper fraction that falls between the given set of numbers.

11. 38 and 3 12.

522 and

29

13. 416 and 3

16 14. 67 and 4

11

15. 7

63 and 814 16. 5 and 10

15


Lesson 3C ~ Adding and Subtracting Fractions Name__________________________________________ Period______ Date____________ Find each sum or difference. Write your answer in simplest form.

1. 31

61

21

++ 2. 83

87

41

−+

3. 101

21

54

+− 4. 53

152

53

++

5. 43

32

65

−+ 6. 109

54

85

++

7. 61

21

87

−− 8. 31

107

153

++

Use the information in the table at right to solve the following problems.


9. How much did Sue and Javier walk altogether? 10. How much more did Peter walk than Quisha? 11. How much did Dyson, Javier and Peter walk altogether? 12. List the names of the five people in order from the least amount walked to the greatest amount walked.

Name Miles walked in 10 minutes

21 Sue

43 Peter

65 Javier

83 Quisha

Dyson 107

Lesson 4C ~ Multiplying and Dividing Fractions Name__________________________________________ Period______ Date____________ Find each product two ways:

• simplify before multiplying and • simplify after multiplying.

SIMPLIFY BEFORE SIMPLIFY AFTER

1. =⋅103

65 =⋅

103

65

2. =⋅95

53 =⋅

95

53

3. =÷56

154 =÷

56

154

4. =÷218

72 =÷

218

72

5. Which method in the above problems do you prefer? Why? Write two different fraction multiplication equations that have a product equal to the amount given. Write all fractions in simplest form.

6. 53 7.

41

8. 32 9.

87

10. Write two different division equations that have a quotient of 611 .


Lesson 5C ~ Operations with Mixed Numbers Name__________________________________________ Period______ Date____________

Triangle Parallelogram Rectangle Trapezoid A = 2

1 bh A = bh A = lw A = 21 h(b + b ) 1 2


Use the formulas above to find the area of each complex shape. Write each answer in simplest form. Show all work. 1. 2. 3.

b

b 1

h h h

b l b

w

2

215 cm

218 cm

3 cm

215 cm

6 cm

213 cm

1 cm

411 cm

213 cm

415 m

4 m

3 m

314 m

2 m

433 m

Lesson 6C ~ Adding and Subtracting Decimals Name__________________________________________ Period______ Date____________ Fill in each box with a digit from 0 to 9 to make each statement true. 1. 2.


3. 4. 5. 6. 7. Create your own addition puzzle like above. Include at least 5 empty boxes. No more than one empty box can be in each column. Give the answer on the reverse side of the paper. 8. Create your own subtraction puzzle like above. Include at least 5 empty boxes. No more than one empty box can be in each column. Give the answer on the reverse side of the paper.

+

2 9

81

.

.− 2

8

9

.4

.8 1

3

.

. 6 52 3

−

6 0

78

.

. 8 8. 7

+

2

1

2

+ 1

3

93

.

. 9 2 . 7

8

6

5

. 0

−

0 7

48

.

. 9 1 33

9

8

1 ..

2

6

0

.0 15

Lesson 7C ~ Multiplying and Dividing Decimals Name__________________________________________ Period______ Date____________ Find each product. 1. 2. )7.4(10 (100)2.0

3. 4.

72(0.1) )3.12(01.0

5. Look at the above products. Write a general rule for each of the following. Multiplying by… Rule for Resulting Product

10

100

0.1

0.01

6. Use one of your rules to determine how much 10 bags of pretzels would weigh all together if each one weighs 2.55 ounces. Show the equation you solved to find the answer. Find each quotient. 7. 7.2410 8. 1004.8 ÷

9. 10. 1.032.6 ÷ 8901.0

11. Look at the above quotients. Write a general rule for each of the following.

Dividing by… Rule for Resulting Quotient

10

100

0.1

0.01

12. Do you have the same rule for multiplying by 0.1 (in #5) as dividing by 10 (in #11)? _____ If so, why?


Lesson 8C ~ Understanding Integers

Name__________________________________________ Period______ Date____________

In Exercises 1 through 5, write two different pairs of numbers for each description. At least one pair of numbers must contain a negative integer. 1. Two integers that are 8 apart. 2. Two integers that are 11 apart. 3. Two integers whose absolute values add to 14. 4. Two integers whose absolute values have a difference of 10. 5. Two integers whose absolute values have a product of 24. 6. Name a mixed number that is between −3 and −4. 7. Name an improper fraction between −1 and −2. 8. Name a decimal number between −7 and −8. 9. Graph the following integers on the number line: −7, 4, −2, and 8.


−5 0 5 10. As numbers move from left to right on a number line, they become larger in value. List the integers −7, 4, −2, and 8 in order from least to greatest.

Lesson 9C ~ Comparing Integers Name__________________________________________ Period______ Date____________

Rational numbers include integers, fractions and decimals. Fractions and decimals can be positive or negative. Compare each integer to the given fraction or decimal using < or >.

1. −2 49

− 2. −4 413− 3. 0 7.0−

4. 212− 5. −6.1 −5 6. 3−

38

− −3

Order the numbers from least to greatest. 7. −4.3, 3, 2

12− , 1 8. 43− , −1, 3

21− , −1.4 9. −7.3, 218− , 5

47− , −7 Points can be graphed on a coordinate plane using (x, y) coordinates. The x-axis runs horizontally and the y-axis runs vertically. Graph each point on the coordinate plane. Label with the given letter. 10. A(1, 4) 11. B(−2, −1) 12. C(−3, 0) 13. D(4, −5) 14. E(−1, 3) 15. F(−5, −3)

III

x

III IV y

16. The four quadrants in a coordinate plane are numbered using Roman numerals as seen above. List the Roman numeral for the quadrant that would have coordinates with the following descriptions: a. (+, +) b. (−,−) c. (−, +) d. (+,−)



Lesson 10C ~ Adding Integers Name__________________________________________ Period______ Date____________

Find each sum. 1. −2 + (−5) + (−3) = 2. −6 + 1 + 8 = 3. −11 + (−3) + 1 = 4. 12 + (−8) + (−5) = 5. −9 + 7 + (−3) = 6. 8 + (−10) + 3 = 7. 8 + 13 + (−7) = 8. −6 + 6 + (−11) = 9. 16 + (−14) + 38 = 10. Write an integer addition expression that equals 2 and… a. includes a negative number and a positive number.

b. includes three different integers.

c. includes four different integers.

d. includes the number −5.

e. includes two odd numbers with at least one of them being negative.

f. includes a number divisible by 7 and a number divisible by 2.

11. Write an integer addition expression that equals −6 and… a. includes a negative number and a positive number.






Lesson 11C ~ Subtracting Integers Name__________________________________________ Period______ Date____________

Use the information in the table at the right to answer the following questions. Lowest Temperatures in Pines

Date Degrees Fahrenheit

Jan 16th −3º F Dec 9th 5º F Feb 3rd −8º F Jan 31st −14º F Nov 12th 2º F

1. What is the difference between the highest and the lowest temperatures listed? 2. What two dates have temperatures that are 6º apart? 3. How much warmer was it on November 12th than February 3rd?

4. It was 17º warmer on February 1st than January 31st. What was the temperature on February 1st?

Find the value of each expression. 5. −7 − (−5) − (−2) = 6. −9 − 3 − 14 = 7. −20 − (−4) − 6 = 8. 8 − (−3) + (−1) = 9. −11 + 2 − (−7) = 10. 6 − (−1) + 26 = 11. 18 − 3 + (−5) = 12. −9 − 9 − (−9) = 13. 11 + (−22) − 33 = 14. Write an integer subtraction expression that equals −4 and… a. includes a negative number and a positive number.






15. Write an integer expression that equals 10. It must contain at least 2 positive integers and 2 negative integers. It also must contain at least one addition symbol and one subtraction symbol.


Lesson 12C ~ Multiplying Integers

Name__________________________________________ Period______ Date____________ When working with expressions that contain a number times the sum (or difference) of two numbers, there are two methods you can use to find the product. Look at 6(−8 + 3). Method 1 Method 2 Use order of operations by performing Distribute the number outside the ( ) the operation inside the ( ) first. to each of the terms inside the parentheses. Then multiply. 6(−8 + 3) = 6(−5) = −30 6(−8 + 3) = 6(−8) + 6(3) = −48 + 18 = −30 Solve each problem using both methods. Show all work. Method 1 Method 2 1. 5(−2 + −8) = 2. −3(−1 − 7) = 3. 4(−7 + 11) = 4. −8(2 − 9) = 5. 2

1− (−10 + 4) = 6. 2(−6 + 19) = 7. − 3(2 – 5 + 6) = 8. Which method do you like better and why? 9. Carrie withdraws $10 from her account each day for 7 days. Each of those days, she also deposited $4. Show two different ways to calculate the integer that represents the total change in her account balance.



Lesson 13C ~ Dividing Integers Name__________________________________________ Period______ Date____________

Solve each problem using addition, subtraction, multiplication and/or division. Show your calculations. 1. Karl added 9 ice cubes to his ice tea. Each ice cube lowers the temperature of the tea by 2º F. The tea was 76º F before he added the ice. What was the temperature after the ice was added? 2. Paul was in a three-day golf tournament. On the first day, his score was −3. On the second day, his score was 7. On the last day, his score was −6. What is his overall score for the entire tournament? 3. On a hike, Lola walked down a steep incline for 12 minutes. She started at 932 feet above sea level and ended at 464 feet above sea level. Assuming her elevation was changing at a constant rate, what integer represents her elevation change per minute? 4. The highest temperature in Yorktown in January was 62º F. The lowest temperature was −12º F. What was the range of the temperatures? 5. Midori’s stock dropped 6 points in value every day for 7 days. It was worth 219 points seven days ago. What is it worth now? 6. Greg withdrew $37 from his account on Wednesday and then deposited $15 in his account on Thursday. On Friday, he withdrew $120. He still had $155 remaining in his account. How much did he have in his account before Wednesday? 7. Ryan withdraws the same amount from his bank account every week. Over the last 6 weeks he has withdrawn $72. How much will he withdraw in the next 10 weeks? 8. Jerry climbed 510 feet in elevation. He then went down 120 feet. He started at an elevation of −240 feet. What integer represents his final elevation?

Lesson 14C ~ Powers and Exponents Name__________________________________________ Period______ Date____________

Variables can be included in exponential expressions. Just as with numerical values, the exponent represents the number of times the variable is multiplied by itself.

Example: 43 yxyyyyxxx =⋅⋅⋅⋅⋅⋅

Write each expression as a power. 1. 2. mmm ⋅⋅ bbbpppbpb ⋅⋅⋅⋅⋅⋅⋅⋅ 3. wwyy ⋅⋅⋅

4. 5. ))()()(( hhhh −−−−yyyy

xxx⋅⋅⋅

⋅⋅ 6. dadad

Exponential expressions can be simplified by following the rules listed below:

• To multiply identical bases, add the exponents. Example: 7)25 (52 mmmm ==⋅ +

• To divide identical bases, subtract the exponents. Example: 3)25(2

5

mmmm

== −

• When there is an exponent to another exponent and only one base, multiply the exponents. Example: ( ) 10)52(52 mmm == ⋅

Simplify each expression using the rules above.

7. 8. 83 xx ⋅ 4

6

yy 9. ( ) 43p

10. 26

49

baba 11. ( ) 12. 28g hrhr 524

13. 14. ( 325 pm )kyyk

3

47

15. 2323 zxzx


Lesson 15C ~ Order of Operations Name__________________________________________ Period______ Date____________

Fill in the box with a number from 1 to 10 that makes the equation true. If there are two boxes in a problem, both boxes must contain the same number

1. 2. 14235 2 =×+− 44

)1(42

−=−−−

3. 74213402 =−+•

− 4.

24)7(6 3 −=+−

5. 16233

)4(5 23 =+•−+

6. 4422)22( 432 =−++

Use the numbers 1, 2, 3, 4 and 5 once in each expression to create an answer that meets each criteria. Each expression must use at least one exponent and at least two different types of operations. You can make any of the values negative (e.g. −1, −2, etc).


Example: Has an answer that is even. 45123 +−+

Uses each number once and equals 8,

which is even. 7. Has an answer that is odd. 8. Has an answer that is divisible by 3. 9. Has an answer less than 0. 10. Has an answer that is a prime number. 11. Has an answer that is between −10 and −20. 12. Has an answer equal to 24.

Lesson 16C ~ Estimating Sums and Differences Name__________________________________________ Period______ Date____________ Use estimates to find the approximate perimeter of each polygon. Show all work. 1. Perimeter:_________ 2. Perimeter:_________ 3. Perimeter:_________


411 in

833 in

1612

1.8 in

4. Perimeter:_________ 5. Perimeter:_________ 6. Perimeter:_________ 7. Sammi built a rectangular pen for her goat that was 3

218 yards long and 2116 yards wide. If she

walked the perimeter of this pen, about how many yards would she walk? 8. Kyle cut a square out of paper that measured 6.79 centimeters on one side. What is the approximate perimeter of Kyle’s square? Measure the sides of each shape to the nearest centimeter using a metric ruler. Find the approximate perimeter of each figure. 9. Perimeter:_________ 10. Perimeter:_________ 11. Perimeter:_________

5.28 in SQUARE

109 in

SQUARE

1632 in

1674 in

432 in

in 1612 in

41 in1

2.4 in

3.5 in in

4.6 in

3.5

Lesson 17C ~ Adding Rational Numbers Name__________________________________________ Period______ Date____________

Each list below contains four numbers. Two of the numbers have a sum equal to a third number in the list. One number will not be used. Write the addition problem. Cross out the one number that does not fit in the list.

1. 43,

81,

21,

83

−−− 2. 61,

32,

65,

31

−−

3. 101,

103,

103,

52

− 4. 31

31

21

61 2,1,3,1−

5. 2

141

43

21 3,6,2,2 −−− 6. 5.0,33.0,83.0,4.0 −−

7. 8. 9.4,2.2,5.0,7.1 −− 62.0,29.0,18.0,8.0 −−−− 9. 10. 4.2,5.1,4.5,3 −− 16.15,42.17,6.12,26.2 −−


Lesson 18C ~ Subtracting Rational Numbers Name__________________________________________ Period______ Date____________

Choose two numbers from the box that subtract to equal each description. You may only use each number once. Show your work to prove each answer.

831− 3.72 5.1 2

11 14.5 4

32 854 1.13 8

33− 5.91 −4.2 4

13 −5.6 −3.1 611

2

15 412− −0.98 −6.53 6

17

1. A value greater than 10. 2. A decimal value that contains the digit “9” in the tenths place. 3. A mixed number that includes 2

1 . 4. A decimal value that has all odd digits. 5. A value between 4 and 5. 6. An integer. 7. A value equal to 3

14− . 8. A value between −2 and −3.


Lesson 19C ~ Estimating Sums and Differences Name__________________________________________ Period______ Date____________ Use estimates to find the approximate area of each polygon. Show all work. 1. Area:___________ 2. Area:___________ 3. Area:___________


8

33 in

1618 in 16

18 in

414 in

437 in

1.8 in SQUARE

5.28 in

in 109

4. Area:___________ 5. Area:___________ 6. Area:___________ 7. Sammi built a rectangular pen for her goat that was 3

218 yards long and 4116 yards wide. If she

planted grass in the pen, about how many square yards would she plant? 8. Kyle cut a square out of paper that measured 6.79 centimeters on one side. What is the approximate area of Kyle’s square? Measure the sides of each shape to the nearest centimeter using a metric ruler. Find the approximate perimeter of each figure. 9. Area:___________ 10. Area:___________ 11. Area:___________

SQUARE

1632 in

1674 in

432 in

2.4 in

3.5 in in

4.6 in

3.1 in 3.5

Lesson 20C ~ Multiplying Rational Numbers Name__________________________________________ Period______ Date____________

Julie scored 322 points in a board game. Sam scored twice as much as Julie. Mike scored three

times the opposite of Sam. Raynesha scored one-fourth of Mike’s score. 1. How many points did Sam score? 2. How many points did Mike score? 3. How many points did Raynesha score? 4. What was their total if they combined all of their scores? Bart’s bank account balance was −$25.80. Hannah’s bank account balance was five times the opposite of Bart’s balance. Nancy’s balance was one-fourth of Hannah’s balance. William had an account balance twice the opposite of Hannah’s balance. 5. What was Hannah’s bank account balance? 6. What was Nancy’s bank account balance? 7. What was William’s bank account balance? 8. What was their total balance if they combined all of their accounts?


Lesson 21C ~ Dividing Rational Numbers

Name__________________________________________ Period______ Date____________

Insert operations in each box in the numerical expressions to make the statement true. Remember to follow order of operations when calculating. Prove your answer is correct by showing your calculations.

),,,( −+÷×

1. 92 4 2 )3 7( 2 =− 2. 05 1.2)( 6 =−

3. 21 21

434 =⎟

⎠⎞

⎜⎝⎛

4. 24 2 )2.0( .42 −=−

5. 0 4 )3( 1 21

21 =−

6. 4

121

21 6 )41( ) 2 ( −=


Lesson 22C ~ Expressions and Equations Name__________________________________________ Period______ Date____________

Functions are used in most high school and college math courses. Function notation is a different way to show what value you are substituting into an expression.

For example: is read “f of x equals 2x − 4” 42)( −= xxf When a number is in the parentheses, this number is substituted for the variable it replaced.

For example: ?)9( =f

Substitute 9 in for x in the equation above. 144)9(2)9( =−=f Simplify. 14)9( =f

Use the function . Find each of the following. 73)( −= xxf

1. 2. 3.

)2(f )7(f )3(−f

4. ( )3

2f 5. )10(−f 6. )0(f

Use the function . Find each of the following. 43)( 2 ++= xxxf

7. 8. )2(f )5(−f 9.

)7(f

Sometimes, you may put a value through multiple functions. Always start with the function inside the parentheses and then use the new value in the second (outside) function.

For example: Find when ))2(( fg xxf 3)( = and 7)( += xxg . First find . )2(f 6)2(3)2( ==fThen plug 6 into . )(xg 1376)6( =+=g

Answer: 13))2(( =fg Use the function 12)( +−= xxf and . Find each of the following. 3)( 2 −= xxg

10. 11. 12. ))2(( −fg ))5((gf ))1(( fg


Lesson 23C ~ Solving One-Step Equations Name__________________________________________ Period______ Date____________

Solve each equation using inverse operations. Write a second equation using a different operation that has the same answer. The first one is done for you.

1. 2. 174 =+x3

7 y= 3. 43 −=−m

Answer: x = 13 New Equation: 262 =x

4. 5. 9.25.3 =+ k 847 −=− x 6. 5.14=

p

7. 8. 3412 −=− w 85

41 52 =+x 9.

124

3=

h

Solve each equation using inverse operations. Write three more equations, each using a different operation, that have the same answer as the first. Each problem should have one equation for each operation ),,,( −+÷× .

10. 5

4−

=m 11. 644 =h

12. 13. 5241 −=−y 3

161 =−x



Lesson 24C ~ Solving Two-Step Equations

Name__________________________________________ Period______ Date____________

Write an equation for each situation. Solve the problem. Show your work and check your solution. 1. Neil started the day with $82. He bought four used video games and had $18 remaining. If each video game cost the same amount, what was the price of each game? 2. Tara took a large bag of flour and put the same amount into five different containers. She had 2.4 pounds of flour remaining. If she started with 10.9 pounds of flour, how much flour is in each container? 3. Victor is thinking of a number. If he multiplies his number by nine and then subtracts 7, he gets 101. What is Victor’s number? 4. Quinn bought a new camera. She was able to pay $60 at the time she received the camera. She will pay $15 each month on the balance. The original cost of the camera was $150. How many months will it take Quinn to pay off the camera? 5. The zoo fed the large animals 680 pounds of food last week. Seven large animals each ate the same amount while the elephant ate 183 pounds of the food. How much did each of the seven large animals eat? 6. Larry is 5 years older than half his brother’s age. Larry is 16 years old. How old is his brother? 7. Esther ate seven less than six times as many jelly beans as Jake. Esther ate 77 jelly beans. How many jelly beans did Jake eat?

Lesson 25C ~ The Distributive Property

Name__________________________________________ Period______ Date____________ The Greatest Common Factor (GCF) is the largest number that divides into a set of numbers. The GCF can be used when factoring. Factoring is a process in which an expression is broken into smaller parts. This is done by pulling out the GCF. Look at the example below. Example: 64 +x GCF between 4x and 6 is 2. Divide 2 from each term to get: )32(2 +x Check your work by distributing: 64)32(2 +=+ xx Factor each expression using the GCF. Check your work using the Distributive Property. 1. 2. 123 +x 106 +− x

3. 4. 1620 −x 8050 +− x

5. 6. x2277 + 1421 −x

7. 8. x3612 − 75100 +x

Simplify each expression on the left side of the equal sign and then solve. 9. 10. 487212)8(4 =−+−++ hhh 04)5(2 =−++ yy

11. 12. 14029)12(3 =+++ pp 631)5(410 −=+++ xx


Lesson 26C ~ Simplifying Expressions Name__________________________________________ Period______ Date____________ Match each expression on the left to its simplified expression on the right. Make sure to only combine terms with the exact same variables. 1. A. 22 96 xxxx +−− 2711 xx + 2. B. xxyxyx 47)5(2 +−+ x6

3. C. 22 5285 xxxx −−+ xxy 63 + 4. D. xyyyxxxy 5225)4(2 −−+++ x3− 5. E. 222 5102319 xxxxxx +−−++ xxy 192 + 6. F. )(5)7(237 yxyxxyxyy −+−+−+ xxy 133 +− Simplify each expression. Then write a second expression that simplifies to the same expression.


7. 8.

9. 10.

Expression Simplified Expression Different UN-Simplified Expression Equivalent to the First Expression

wwww +−− 825

222 5)3(2 xxx −+

xyxy 42)4(3 +−+

)8(324 yxyyxy −++−

Lesson 27C ~ Simplifying and Solving Equations Name__________________________________________ Period______ Date____________ Equations with variables that are squared can be solved using the inverse operation of squaring, which is the square root ( ). Isolate the value and then take the square root of both sides to find the positive value of x.

2x

Example: 2942 =+x 252 =x −4 −4 5=x


252 =x Solve each equation for x. Check your answers. 1. 2. 246 = 25112 =−x 2a 3. 9 4. 3 =− 582 =+ b 752 −y 5. 6. 4412 = 1532 2 =−x 122 +m Solve for x. Round answers to the nearest tenth. 7. 8. 50 2892 =+x 25a= 9. 10. 500 48122 2 =−y 2515 x+−= 11. 10 12. 113 2 −=− b 3042 22 =+ xx

Lesson 28C ~ Solving Equations with Variables on Both Sides Name__________________________________________ Period______ Date____________

Solve each inequality. Graph the solution on a number line. See the Tic-Tac-Toe activity on page 131 in Oregon Focus on Rational Numbers & Equations for examples of solving and graphing inequalities. 1. 123≤+x

0 5 10 33 −−

9≤x 2. 11542 −<+ ff


3. 133)3(5 +>+ pp

4. 19753 −≥+ yy

5. 7)1(23 ++< mm

6. 13974 +≤− ww 7. 4510192 −<+ xx 8. 14)3(4)1(3 −+≥− hh

9. 134137 +>+ yy

0 5 10

0 5 10

−5 50

−5 0 5

−5 0 5

−5 0 5

−5 0 5

−5 0 5

Documents

Lesson 1C ~ Simplifying Fractions Challenge WS.pdfLesson 1C ~ Simplifying Fractions . Name_____ Period_____ Date_____ Factor trees can be used to find the GCF. Look at 12 and 18. To

Lesson 1C ~ Simplifying Fractions Challenge WS.pdfLesson 1C ~ Simplifying Fractions . Name___ Period_ Date___ Factor trees can be used to find the GCF. Look at 12 and 18. To