Name ________________________________ Date _____________________________Mrs. Labuski / Mrs. Pinto Period _______ Module 1 Lessons 1-8 Quiz Review

Topic A: Representing and Reasoning About Ratios Lesson 1 ‐ 2: Ratios

1. Write a ratio for the following description: John ate four times as many cookies as me during dessert. Write the ratio in two different forms.

a. ________________________ _________________________b. Write two different ratios with this information.

_______________________________________________________________________

_______________________________________________________________________

2. At the ice cream shop, there are 15 boys, 12 girls, and 5 adults.

a. Write the ratio of number of boys to the number of girls ___________

b. Write the ratio of number of boys and girls to the number of adults. _______

3. A jewelry company surveyed teen-aged girls on their favorite type of jewelry to guide the company’s decision of how much of each they should manufacture. The results are shown here.

Favorite Jewelry of Teen-Aged Girls

Underline the verbal cue words that indicate the description is a ratio and write the ratio.

a. For every two bracelets they manufacture, they should manufacture four earrings. ________

b. Four out of every ten pieces of jewelry they manufacture should be earrings. ____________

c. The ratio of number of girls who liked rings to number of girls who liked bracelets. _______

d. Describe a ratio relationship for which the ratio is 1:3. _____________________________

_________________________________________________________________________

_________________________________________________________________________

4. Billy was in art class and heard the teacher tell the entire class that the painting palate had 5 paintbrushes for every 1 color of paint for a ratio of 5:1. Is this true? Defend or dispute that answer.

_____________________________________________________________________________

_____________________________________________________________________________

_____________________________________________________________________________

_____

Lesson 3 ‐ 4: Equivalent Ratios 5. Jose and Gertrude are competitive runners on the track team. Jose is older than Gertrude and is a better runner. He is able to run faster than Gertrude. For every 3 lengths of the track that Jose is able to run, Gertrude is able to run 2 lengths.a. Draw a tape diagram to represent this ratio:

b. If each length represented 25 meters, how far did each runner run?

Jose ____________________ Gertrude ________________

c. If Jose ran 21 lengths, how many lengths did Gertrude run? Draw a new tape diagram below and show your work to solve.

Gertrude ran ___________________ lengths.

d. Identify a set of equivalent ratios. ______________________________________________6. Decide whether or not each of the following pairs of ratios is equivalent.If the ratios are not equivalent, find a ratio that is equivalent to the first ratio.If the ratios are equivalent, identify the constant.

4:6 and 20: 30 ______Yes, the constant is ___________

______No, an equivalent ratio would be :_____________

Lesson 5 ‐ 6: Solving Problems by Finding Equivalent Ratios

7. The ratio of people who prefer chocolate chip cookies to oatmeal cookies is 5:2. If 56 people were surveyed, how many people prefer each type of cookie?

Chocolate Chip_____________ Oatmeal_____________

8. The ratio of the number of people who own an Ipad to the number of people who own a laptop is 4:2. If 200 more people own an Ipad than a laptop, how many people own each type of device? Make a tape diagram to illustrate your answer.

Ipad _____________ Laptop_____________

9. Freshy Frozen Yogurt is the popular place in town. Saturday is their busiest night. The ratio of number of cones to the number of cups sold 6:5. However, on Sunday night the ratio of the number of cones to the number of cups is 4:1. If Freshy Frozen Yogurt sold 42 cones on Saturday night, how many cups did it sell on Saturday night? Clearly state your answer.

Lesson 7: Associated Ratios and the Value of a Ratio10. Identify the value of each ratio.

a. In the marching band, there are 6 clarinets for every 8 flutes. ___________________

b. The number of flutes is _________ to the number of clarinets.

c. If there are 24 clarinets in the band, how many flutes are there? ____________________

Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio

11. Use the value of each ratio to determine if they are equivalent. Explain

6:24 and 4:16 _________________________________________________________________

____________________________________________________________________________

12. Mrs. Labuski trains for her triathlon by swimming in the morning before work and biking and running after school. Mrs. Labuski usually bikes 10 miles and runs 4 miles. Is it possible

according to my training schedule, that one day the ratio of my biking to running was 25:10? Explain why or why not.

____________________________________________________________________________

____________________________________________________________________________

____________________________________________________________________________

Name ________________________________ Date _____________________________Mrs. Labuski / Mrs. Pinto Period _______ Module 1 Lessons 1-8 Quiz Review

Topic A: Representing and Reasoning About Ratios Lesson 1 ‐ 2: Ratios

1. Write a ratio for the following description: John ate four times as many cookies as me during dessert. Write the ratio in two different forms.

a. 4:1 4 to 1b. Write two different ratios with this information.

The ratio of the number of cookies that John ate to the total number of cookies is 4:5.The ratio of the number of cookies I ate to the total number of cookies is 1:5

2. At the ice cream shop, there are 15 boys, 12 girls, and 5 adults.

a. Write the ratio of number of boys to the number of girls 15:12

b. Write the ratio of number of boys and girls to the number of adults. 27:5

3. A jewelry company surveyed teen-aged girls on their favorite type of jewelry to guide the company’s decision of how much of each they should manufacture. The results are shown here.

Favorite Jewelry of Teen-Aged Girls

Underline the verbal cue words that indicate the description is a ratio and write the ratio.

a. For every two bracelets they manufacture, they should manufacture four earrings. 2:4

b. Four out of every ten pieces of jewelry they manufacture should be earrings. 4:10

c. The ratio of number of girls who liked rings to number of girls who liked bracelets. 1:2

d. Describe a ratio relationship for which the ratio is 1:3. For every one

girl that liked rings, there were three girls that liked necklaces.

4. Billy was in art class and heard the teacher tell the entire class that the painting palate had 5 paintbrushes for every 1 color of paint for a ratio of

5:1. Is this true? Defend or dispute that answer.The ratio of 5:1 is not true for 5 painbrushes for every one color of paint. The ratio is

there is 1 paintbrush for every 5 colors of paint for a ratio of 1:5.

Lesson 3 ‐ 4: Equivalent Ratios 5. Jose and Gertrude are competitive runners on the track team. Jose is older than Gertrude and is a better runner. He is able to run faster than Gertrude. For every 3 lengths of the track that Jose is able to run, Gertrude is able to run 2 lengths.a. Draw a tape diagram to represent this ratio:

Jose

Gertrude

b. If each length represented 25 meters, how far did each runner run?

Jose 25 25 25

Gertrude 25 25

Jose 75 Gertrude 50

c. If Jose ran 21 lengths, how many lengths did Gertrude run? Draw a new tape diagram below and show your work to solve.

= 21Jose 7 7 7

Gertrude ran 14 lengths.

d. Identify a set of equivalent ratios. 3:2 and 75:50 and 21:14

6. Decide whether or not each of the following pairs of ratios is equivalent.If the ratios are not equivalent, find a ratio that is equivalent to the first ratio.If the ratios are equivalent, identify the constant.

4:6 and 20: 30 ______Yes, the constant is ____5_______

______No, an equivalent ratio would be :_____________

Lesson 5 ‐ 6: Solving Problems by Finding Equivalent Ratios

7. The ratio of people who prefer chocolate chip cookies to oatmeal cookies is 5:2. If 56 people were surveyed, how many people prefer each type of cookie?

= 40

= 16

Chocolate Chip 40 Oatmeal 16

8. The ratio of the number of people who own an Ipad to the number of people who own a laptop is 4:2. If 200 more people own an Ipad than a laptop, how many people own each type of device? Make a tape diagram to illustrate your answer.

200

56÷ 7 = 8

(56 total people divided by the 7 boxes.)

Gertrude 7 7

Choc 8 8 8 8 8

oatmeal 8 8

Ipad 100

100 100 100

laptop 100 100

Ipad 400 Laptop 200

9. Freshy Frozen Yogurt is the popular place in town. Saturday is their busiest night. The ratio of number of cones to the number of cups sold 6:5. However, on Sunday night the ratio of the number of cones to the number of cups is 4:1. If Freshy Frozen Yogurt sold 42 cones on Saturday night, how many cups did it sell on Saturday night? Clearly state your answer.

Saturday 6:5 Sunday 4:1

=42

= 35

42÷ 6 = 7

On Saturday night Freshy Frozen Yogurt sold 35 cups on Saturday night.

Lesson 7: Associated Ratios and the Value of a Ratio10. Identify the value of each ratio.

a. In the marching band, there are 6 clarinets for every 8 flutes.

b. The number of flutes is to the number of clarinets.

c. If there are 24 clarinets in the band, how many flutes are there? 32

Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio

11. Use the value of each ratio to determine if they are equivalent. Explain

6:24 and 4:16 The value of 6:24 is ¼ and the value of 4:16 is ¼ . Since the ratios have the

same value, the ratios are equivalent.

12. Mrs. Labuski trains for her triathlon by swimming in the morning before work and biking and running after school. Mrs. Labuski usually bikes 10 miles and runs 4 miles. Is it possible according to my training schedule, that one day the ratio of my biking to running was 25:10? Explain why or why not.

cones 7 7 7 7cones 7 7 7 7 7 7

cups 7 7 7 7 7 cups 7

The value of Mrs. Labuski’s training schedule is . The value of 25:10 is . Since the

values are the same, the ratios are equivalent so it is possible.