We included HMH Into Math Grade 7 Answer Key PDF Module 6 Review to make students experts in learning maths.
HMH Into Math Grade 7 Module 6 Review Answer Key
Vocabulary
Associative Property of
Multiplication
Inverse Property of
Multiplication
Distributive Property
Order of Operations
Choose the correct term from the Vocabulary box.
Question 1.
Choose the correct term from the Vocabulary box. To find the value of 7 + \(\frac{1}{3}\) • 6, you first find the product of \(\frac{1}{3}\) and 6. This is justified by the
Answer:
This is justified by the Associative Property.
the product of \(\frac{1}{3}\) and 6.
\(\frac{1}{3}\) × 6
= 6 ÷ 3
= 2
The value of 7 + \(\frac{1}{3}\) • 6
= 7 + 2
= 9
Concepts and Skills
Question 2.
A group of hikers starts at an elevation of 2.53 kilometers. When they stop for lunch, their elevation has increased by 1.24 kilometers. When they stop to camp, their elevation has decreased by 0.53 kilometer compared to their lunch stop. Which expressions represent the elevation, in kilometers, of the group’s campsite? Select all that apply.
A. 2.53 – (1.24 – 0.53)
B. 2.53 – (1.24 + 0.53)
C. (2.53 – 0.53) + 1.24
D. 2.53 + (1.24 – 0.53)
E. 2.53 + 1.24 – (-0.53)
F. 1.24 + [2.53 + (-0.53)]
Answer:
2.53 + (1.24 – 0.53) and 1.24 + [2.53 + (-0.53)
Explanation:
The expressions represent the elevation, in kilometers, of the group’s campsite is 2.53 + (1.24 – 0.53) and 1.24 + [2.53 + (-0.53).
Question 3.
The total change in the water level in a lake over a period of 5 weeks was -5\(\frac{1}{4}\) inches. Complete the table to show possible changes in the water level in week 2 and week 5.
Answer:
Question 4.
Use Tools Tessa and Marisol run in a 100-meter race. Tessa runs at an average speed of 8.1 meters per second. Five seconds after the race begins, she is 3.5 meters ahead of Marisol. To the nearest hundredth of a second, how long will it take Marisol to run the entire race if she does not speed up or slow down? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
It will take 13.51 seconds.
Explanation:
The speed of Tessa = 8.1 meters
Distance = speed × Time|
Time = 5 seconds
Distance covered by her = 5 × 8.1
= 40.5 meters
Since she is 3.5 m
Distance covered by Marisol in 5 seconds = 40.5 – 3.5 = 37 meters.
Marisol’s speed = 37 ÷ 5
= 7.4 meters per second
The amount of time it will take her = 100 ÷ 7.4 = 13.51 seconds.
Question 5.
When the air conditioner in a building is running, the temperature in the building changes at a rate of -1 °F every 18 minutes. At this rate, how many hours should it take to cool the building from a temperature of 85.5 °F to a temperature of 78 °F?
____ hours
Answer:
135 min = 2 hours and 15 minutes.
Explanation:
85.5 F – 78 F = 7.5 F
And it takes -7.5 F to cool 85.5 F to 78 F
Therefore it takes 18 minutes to lower the temperature -1
18 × 7.5 = 135
135 minutes = 2 hours and 15 minutes.
Question 6.
Kyle plans to make 15 hamburger patties, each weighing \(\frac{1}{4}\) pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?
$_____
Answer:
$13.725
Explanation:
Given,
Production = 15 units
Each weight = \(\frac{1}{4}\) pound
Price = $3.66 per pound
Total pound = \(\frac{1}{4}\) × 15
= 3.75 pounds
The total cost = 3. 75 × $3.66
= $13.725
Question 7.
The percent error of a measurement tells how close the measurement is to the actual value. The label on a mineral sample in a kit gave the weight of the sample as 60.5 ounces. The true weight was found to be 62.5 ounces.
A. To find the percent error, first find the absolute value of the difference between the weight on the label and the true weight.
Answer:
2.0 ounces
Explanation:
Given,
The weight on the label is 60.5 ounces.
True weight = 62.5 ounces
Difference between True Weight – weight on the label
= 62.5 – 60.5
= 2.0 ounces.
B. Now express the difference from Part A as a percent of the actual value. This is the percent error.
Answer:
The percent error is 3.2.
Explanation:
Estimated value = 2.0 ounces.
Actual value = 62.5 ounces
Percent error = (2 ÷ 62.5) × 100
= 0.032 × 100
3.2
Question 8.
A rectangular backyard has a length of 68 feet and a width of 40\(\frac{1}{2}\)-feet. The owner wants to plant 75% of the yard with grass seed. The planting rate for the seed is 1.5 pounds per 1,000 square feet of area. To the nearest tenth of a pound, how much grass seed will the owner need to plant?
___ pounds
Answer:
3.1 pounds of seed.
Explanation:
A = l × w
= 68 × 40\(\frac{1}{2}\)
= 68 × \(\frac{81}{2}\)
= 2754 square feet
=2754 × \(\frac{75}{100}\)
= 2065.5 Square feet.
Planting rate for the seed = 1.5 pounds per 1000 square feet
= (2066.5 ÷ 1000) × 1.5
= 3.1 pounds
Question 9.
Which expressions are equivalent to –\(\frac{3}{4}\)(10 • 8)? Select Equivalent or Not Equivalent for each expression.
Answer:
Question 10.
Joanna has $25.00 to spend at the zoo. Admission costs $12.25, and she plans to buy a combo meal for $8.92 at the snack bar for lunch. It costs $2.00 to buy a food pellet to feed the giraffes. Which expressions could Joanna use to estimate the number of pellets she can afford if she wants to be certain not to run out of money? Select all that apply.
A. (25 – 10 – 8) ÷ 2
B. (25 – 12 – 8) ÷ 2
C. (25 – 13 – 9) ÷ 2
D. (25 – 13 – 10) ÷ 2
Ê. (30 – 10 – 8) ÷ 2
F. (30 – 12 – 8) ÷ 2
Answer:
B. (25 – 12 – 8) ÷ 2 and
C. (25 – 13 – 9) ÷ 2
Explanation:
The expressions could Joanna use to estimate the number of pellets she can afford if she wants to be certain not to run out of money are
(25 – 12 – 8) ÷ 2 and (25 – 13 – 9) ÷ 2