We included HMH Into Math Grade 7 Answer Key PDF Module 2 Review to make students experts in learning maths.
HMH Into Math Grade 7 Module 2 Review Answer Key
Vocabulary
commission
gratuity
markdown
principal
sales tax
Choose the correct term from the Vocabulary box.
Question 1.
the amount by which a price is reduced so that an item will sell
____________________
Answer: The amount by which a price is reduced so that an item will sell is called markdown.
Question 2.
an amount of money that is deposited or borrowed and that earns or is charged interest
____________________
Answer: An amount of money that is deposited or borrowed and that earns or is charged interest principal.
Question 3.
an amount of money given as a tip to someone who has performed a service
____________________
Answer: An amount of money given as a tip to someone who has performed a service gratuity.
Question 4.
an amount paid to an employee that represents a percent of the employee’s sales
____________________
Answer: An amount paid to an employee that represents a percent of the employee’s sales commission.
Concepts and Skills
Question 5.
Use Tools All sweaters at a store are on sale at a 20% discount. What would be the sale price of a sweater regularly priced $40? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
Given,
All sweaters at a store are on sale at a 20% discount.
40 × (1 – 20%)
40 × (1 – 20/100)
40 × (1 – 0.2)
40 × 0.8 = 32
Question 6.
The depth of water d in a swimming pool increases and decreases by 3% over a one-month period. Match each verbal description of the greatest and least water depths with all equivalent expressions.
Answer:
The depth of water d in a swimming pool increases and decreases by 3% over a one-month period.
d is decreased by 3% is d + 3%d = d + 0.03d = 1.03d
d is decreased by 3% is d – 3%d = d – 0.03d = 0.97d
Thus the answer is 1.03d d + 0.03d
0.97d (1 – 0.03)d
Question 7.
Phillip wants to buy a baseball cap. Sales tax in his city is 8%. Select the prices of all caps Phillip could buy for less than or equal to $20 once sales tax is added.
A. $18.18
B. $18.50
C. $18.68
D. $19.00
E. $19.90
Answer:
Given,
Phillip wants to buy a baseball cap. Sales tax in his city is 8%.
Let the price be x
x × (1 + 8%) ≤ 20
x × (1 + 8/100) ≤ 20
x × (1 + 0.08) ≤ 20
1.08x ≤ 20
x ≤ 18.52 ≈ 18.5
Thus option B is the correct answer.
Question 8.
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill equally. Amy wants to leave a 20% tip for her portion. What is the total amount Amy should pay, including tip? Round to the nearest cent.
$ _____
Answer:
Given,
Amy and two of her friends eat lunch at a restaurant.
Their bill, including tax, comes to $27.63.
They decide to split the bill equally. Amy wants to leave a 20% tip for her portion.
27.63 × (20% + 1) ÷ (1 + 2)
(27.63 × 1.2)/3
33.156/3 = 11.052
11.052 to the nearest cent is 11.05
Question 9.
Mr. Bauer deposits $600 in an account that earns simple interest at an annual rate of 2%. Use numbers from the box at right to complete an expression that represents the amount, in dollars, that will be in Mr. Bauer’s account after 3 years.
____ (1 + ___ • ___)
Answer:
Mr. Bauer deposits $600 in an account that earns simple interest at an annual rate of 2%.
Time (T) = 3
(1 + 3 × 2%) . 600
(1 + 3 × 0.02) × 600
600 × (1 + 0.06) = 636
Question 10.
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692. What was the total amount of her sales for the week? $____
Answer:
Given,
A salesperson earns $8 per hour plus 6% commission on her sales.
In a week when she worked 40 hours, her total earnings were $692.
40 × 8 + 6% × x = 692
320 + 6% × x = 692
6% × x = 692 – 320
6% × x = 372
x = 372 × 100/6
x = 6200
Thus the total amount of her sales for the week is $6200.
Question 11.
The owner of an art supply store buys tubes of magenta oil paint for $10.80 and marks up the cost by 10% to determine the retail price. The tubes of paint do not sell well, so the owner marks down the retail price by 20%. To the nearest cent, what is the marked-down price of a tube of magenta oil paint?
A. $9.50
B. $11.88
C. $18.14
D. $22.68
Answer:
Given,
The owner of an art supply store buys tubes of magenta oil paint for $10.80 and marks up the cost by 10% to determine the retail price.
The tubes of paint do not sell well, so the owner marks down the retail price by 20%.
10.8 × (1 + 10%) × (1 – 20%)
10.8 × (1 + 10/100) × (1 – 20/100)
10.8 × 1.1 × (0.8) = 9.504
Thus option A is the correct answer.
Question 12.
A ticket company charges a service fee of 5% of the ticket price for each ticket to a concert. Use this information to complete the table.
Answer:
Given,
A ticket company charges a service fee of 5% of the ticket price for each ticket to a concert.
19 × 5%
19 × 5/100 = 0.95
Total cost = 19 + 0.95 = 19.95
1.4 ÷ 5% = 28
Total cost = 28 + 1.40 = 29.40
47.25 ÷ (1 + 5%) = 45
45 × 5%
45 × 5/100 = 2.25
Question 13.
For a scale to pass inspection, the scale’s reading can vary by at most 0.1% from the actual mass of an object on the scale. A test mass has an exact mass of 250.00 grams. In what range must the scale’s reading be for the scale to pass inspection?
Answer:
Given,
For a scale to pass inspection, the scale’s reading can vary by at most 0.1% from the actual mass of an object on the scale.
A test mass has an exact mass of 250.00 grams.
250 × 0.1%
250 × 1/100 = 0.25 grams
250 + 0.25 = 250.25 grams
250 – 0.25 = 249.75 gra,s
Therefore the range is 249.75 ∼ 250.25 grams
Question 14.
This year, 17,884 people attended a basketball team’s first game, and 17,150 people attended its second game. What is the percent decrease from the first game to the second game in the number of people who attended? Round to the nearest tenth of a percent.
______ %
Answer:
Given that,
This year, 17,884 people attended a basketball team’s first game
17,150 people attended its second game
Let the decrease from the first game to the second game be x.
17150 = 17884 (1 – x)
17150/17884 = 1 – x
0.95 = 1 – x
x = 1 – 0.95
x = 0.05
Thus the result will be close to 5%