We included HMH Into Math Grade 6 Answer Key PDF Module 5 Review to make students experts in learning maths.
HMH Into Math Grade 6 Module 5 Review Answer Key
Vocabulary
ratio
equivalent ratios
rate
unit rate
Complete the following to review your vocabulary for this module.
Question 1.
\(\frac{12}{20}\) is an example of a ____.
Answer: \(\frac{12}{20}\) is an example of a equivalent ratios.
Question 2.
______ are ratios that name the same comparison.
Answer: equivalent ratios are ratios that name the same comparison.
Question 3.
How can a ratio be like a fraction? How can it be different from a fraction?
_______________________
_______________________
Answer:
A fraction is a number that names part of a whole or part of a group.
The denominator represents the total number of equal parts the whole is divided into.
Whereas ratio is a comparison of two quantities.
Example:
2 : 4 is a ratio and the ratio can be written in the fraction form as 2/4.
Question 4.
A ratio that compares two quantities with different units is called a ___. If the second quantity in the comparison is one, the comparison is a ____.
Answer: A ratio that compares two quantities with different units is called a rate. If the second quantity in the comparison is one, the comparison is a ratio.
Concepts and Skills
Question 5.
Write the ratio three different ways: 1 table for every 4 students.
_______________________
Answer:
The ratio is 1:4
1 table for every 4 students
2 tables for every 8 students
3 tables for every 12 students
4 tables for every 16 students
Question 6.
Use Tools In a smoothie, the ratio of ounces of blueberries to ounces of yogurt is 2 to 5. How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
In a smoothie, the ratio of ounces of blueberries to ounces of yogurt is 2 to 5.
Ounces of yogurt need for 10 ounces of blueberries.
\(\frac{2}{5}\) = \(\frac{10}{x}\)
x × 2 = 10 × 5
2x = 50
x = 50/2
x = 25
Therefore 25 ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries.
Question 7.
Given that 16 watermelons cost $48, which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply.
A. 16:48
B. 3:1
C. 1:3
D. 48:16
E. 3:9
Answer:
Given that 16 watermelons cost $48
The equivalent ratios of the number of watermelons to cost in dollars are
16:48 = 3 : 9 = 1 : 3
Options A, C and E are the suitable answers.
Question 8.
A florist makes a bouquet made up of 7 roses, 12 carnations, and 5 lilies. What is the ratio of roses to flowers that are not roses?
A. \(\frac{12}{7}\)
B. \(\frac{7}{7}\)
C. \(\frac{1}{7}\)
D. \(\frac{7}{24}\)
Answer:
Given,
A florist makes a bouquet made up of 7 roses, 12 carnations, and 5 lilies.
7 + 12 + 5 = 24
Number of flowers that are not roses = 12 + 5 = 17
Number of roses = 7
So, the ratio of roses to flowers that are not roses is \(\frac{7}{17}\)
Question 9.
At the produce store, Wendy sees that grapes cost $13.50 for 3 pounds. What is the unit rate?
_______________________
Answer:
Given,
Wendy sees that grapes cost $13.50 for 3 pounds.
3 pounds down to 1 pound.
To make the equation balance we need to divide $13,50 by 3.
13.50 ÷ 3 = $4.5
Thus the unit rate is $4.5 per pound.
Question 10.
The double number line shows the numbers of minutes it takes Stan to run different numbers of miles. At the given unit rate, how many minutes would it take him to run 6 miles?
A. 48.5 minutes
B. 51 minutes
C. 57 minutes
D. 59.5 minutes
Answer:
1 mile = 8.5 minutes
6 miles = x
x = 8.5 × 6
x = 51 minutes
Therefore it takes 51 minutes for him to run 6 miles.
Thus option B is the correct answer.
Question 11.
A plant grows at a constant rate. The table shows the heights of the plant for different numbers of days of growth.
Which of the following pairs of days and heights could also be included in the table? Select all that apply.
A. Day 4: 8 in.
B. Day 9: 16 in.
C. Day 11: 22 in.
D. Day 15: 30 in.
E. Day 21: 44 in.
Answer:
3 : 6 = 1 : 2
7 : 14 = 1 : 2
8 : 16 = 1 : 2
10 : 20 = 1 : 2
So, the ratio is 1:2
Let us check the options given above
A. 4 : 8 = 1 : 2
B. 9:16
C. 11 : 22 = 1 : 2
D. 15 : 30 = 1 : 2
E. 21:44
Options A, C and D are suitable answers.
Question 12.
A paint store makes lime green paint by mixing 3 parts yellow paint to 1 part blue paint. A clerk mixes 5 parts yellow paint to 2 parts blue paint. Did the clerk use the correct ratio of yellow paint to blue paint? Explain.
_______________________
Answer:
Given,
A paint store makes lime green paint by mixing 3 parts yellow paint with 1 part blue paint.
A clerk mixes 5 parts yellow paint with 2 parts blue paint.
3:1 = 6:2 = 9:3 = 12:4 = 3
5:2 = 10:4 = 15:6 = 20:8 = 5/2
The correct use the correct ratio