Name ________________________________ Date _____________________________
Mrs. Labuski / Mrs. Portsmore 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 Ratio
10. 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. Portsmore 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 1
b. 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.
c. Write the ratio of number of boys to the number of girls 15:12
d. 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.
e. For every two bracelets they manufacture, they should manufacture four earrings. 2:4
f. Four out of every ten pieces of jewelry they manufacture should be earrings. 4:10
g. The ratio of number of girls who liked rings to number of girls who liked bracelets. 1:2
h. 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.
= 21
Gertrude ran 14lengths.
d. Identify a set of equivalent ratios. 3:2 and 75:50 and 21:14
Jose 7 7 7
Gertrude 7 7
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 Oatmeal16
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
Ipad 400 Laptop200
Choc 8 8 8 8 8
oatmeal 8 8
Ipad 100 100 100 100
laptop 100 100
56÷ 7 = 8
(56 total people divided
by the 7 boxes.)
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 Ratio
10. 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.
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.
cones 7 7 7 7cones 7 7 7 7 7 7
cups 7 7 7 7 7 cups 7

Module 1 lesson 1 8 quiz review (2)

  • 1.
    Name ________________________________ Date_____________________________ Mrs. Labuski / Mrs. Portsmore 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. _____________________________ _________________________________________________________________________ _________________________________________________________________________
  • 2.
    4. Billy wasin 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. ______________________________________________
  • 3.
    6. Decide whetheror 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_____________
  • 4.
    9. Freshy FrozenYogurt 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 Ratio 10. 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. ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________
  • 5.
    Name ________________________________ Date_____________________________ Mrs. Labuski / Mrs. Portsmore 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 1 b. 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. c. Write the ratio of number of boys to the number of girls 15:12 d. 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. e. For every two bracelets they manufacture, they should manufacture four earrings. 2:4 f. Four out of every ten pieces of jewelry they manufacture should be earrings. 4:10 g. The ratio of number of girls who liked rings to number of girls who liked bracelets. 1:2 h. 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.
  • 6.
    4. Billy wasin 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. = 21 Gertrude ran 14lengths. d. Identify a set of equivalent ratios. 3:2 and 75:50 and 21:14 Jose 7 7 7 Gertrude 7 7
  • 7.
    6. Decide whetheror 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 Oatmeal16 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 Ipad 400 Laptop200 Choc 8 8 8 8 8 oatmeal 8 8 Ipad 100 100 100 100 laptop 100 100 56÷ 7 = 8 (56 total people divided by the 7 boxes.)
  • 8.
    9. Freshy FrozenYogurt 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 Ratio 10. 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. 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. cones 7 7 7 7cones 7 7 7 7 7 7 cups 7 7 7 7 7 cups 7