We included **HMH Into Math Grade 7 Answer Key PDF** **Module 8 Review **to make students experts in learning maths.

## HMH Into Math Grade 7 Module 8 Review Answer Key

**Vocabulary**

Question 1.

Complete the graphic organizer for the vocabulary term solution of an inequality.

Answer:

**Concepts and Skills**

Question 2.

**Use Tools** Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500 – 2.5t < 100 can be used to determine the time t, in seconds, after which there will be less than 100 gallons of water remaining in the tank. Solve the inequality, then state what the solution represents. State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.

Answer:

t < 160

Explanation:

500 – 2.5t < 100

– 2.5t < 100 – 500

– 2.5t < – 400

2.5t < 400

t < 400/2.5

t < 160

Question 3.

Faith wants to run at least 7 miles this week. She already has run 2\(\frac{1}{2}\) miles. She plans to run an equal distance on each of the last 3 days of this week. Write and solve an inequality to represent this situation, where d represents the distance in miles that Faith must run on each of the last 3 days to reach her goal. Graph the solution set of the inequality on the number line.

Answer:

d = 1

Explanation:

2\(\frac{1}{2}\) + d = \(\frac{7}{2}\)

\(\frac{5}{2}\) + d = \(\frac{7}{2}\)

d = \(\frac{7}{2}\) – \(\frac{5}{2}\)

d = \(\frac{7 – 5}{2}\)

d = 1

Question 4.

An airplane can carry a maximum of 36,600 pounds of cargo, passengers, and luggage. On the plane’s next flight, it will carry 7,320 pounds of cargo. If each passenger with luggage weighs 220 pounds, what is the greatest number of passengers the plane can carry on its next flight?

(A) 33 passengers

(B) 133 passengers

(C) 166 passengers

(D) 199 passengers

Answer:

Option (B)

Explanation:

An airplane can carry a maximum of 36,600 pounds of cargo, passengers, and luggage

the plane’s next flight, it will carry 7,320 pounds of cargo

36,600 – 7,320 = 29,280

If each passenger with luggage weighs 220 pounds

29,280/220 = 133

Question 5.

At midnight, the outdoor temperature is 2 °C. The temperature is expected to drop by 0.5 °C per hour for the rest of the night. Select all inequalities that can be used to determine the number of hours b after midnight at which the temperature will be below 0 °C.

(A) 0.5h < 2

(B) 0.5b > 2

(C) 0.5b – 2 < 0

(D) 0.5b + 2 < 0

(E) 2 – 0.5b < 0

(F) 2b – 0.5 < 0

Answer:

Option(E)

Explanation:

2 – 0.5b < 0

the outdoor temperature is 2 °C.

The temperature is expected to drop by 0.5 °C per hour for the rest of the night.

the number of hours b after midnight at which the temperature will be below 0 °C.

2 – 0.5b < 0

Question 6.

Winnie made headbands to sell at the school craft fair. She spent a total of $22.50 on expenses, and she plans to sell the headbands for $5 each. She wants to earn at least $50 in profit. Write and solve an inequality to represent this situation, where b represents the number of headbands Winnie needs to sell to make a profit of at least $50. Then state what the solution represents.

Answer:

$15

Explanation:

spent a total of $22.50 on expenses, and she plans to sell the headbands for $5 each.

She wants to earn at least $50 in profit.

5b = 22.5 + 50

5b =72.5

b = 72.5 /5

b = 14.5

Question 7.

Marcus is ordering supplies online for his dog. He plans to order a collar for $6.76 and some bags of treats for $4.80 each. The total for his order must be more than $25 to qualify for free shipping.

A. Write an inequality that Marcus can use to determine the number of bags of treats t he must order to get free shipping.

Answer:

t = 4

Explanation:

6.76 + 4.8t > 25

4.8t > 25 – 6.75

4.8t > 18.25

t > 18.25 / 4.8

t > 3.80

B. Marcus says that the minimum number of bags of treats he needs to order to get free shipping is 3. Do you agree? Explain your reasoning.

Answer:

No

Explanation:

6.76 + 4.8t > 25

t = 3

6.76 + 4.8(3) >25

6.76 + 14.4 > 25

21.16 Not greater then 25

Question 8.

Sarah begins the week with $21.55. A school lunch costs $2.75. How many school lunches can she buy and still have at least $10 left at the end of the week? Write and solve an inequality that Sarah can use to determine the number of lunches n that she can buy.

Answer:

Sarah can buy 4

Explanation:

Sarah begins the week with $21.55

lunch costs $2.75

2.75n + 10 = 21.55

2.75n = 11.55

n = 11.55/2.75

n = 4.2

the number of lunches n that she can buy n = 4