Expression and Equations Pre Test

At a bowling alley, there is a flat fee of $5.00 to rent shoes. In addition, it costs $1.25 for each game bowled.

Which expression shows the total cost (c) for the number of games (g) one bowls?

• c = 1.25g + 5

• c = 1.25g + 5g

• c = 5g + 1.25

• c = 6.25 + 1.25g

Steven’s new cell phone plan charges a flat monthly fee of $24. The plan allows an unlimited number of text messages, but each minute (m) used for phone calls costs $0.15.

Which equation most accurately represents the monthly cost (c) of Steven’s phone bill based on how many minutes talked?

• c = 24 + 0.15m

• c = 24(0.15m)

• c = 0.15 + 24m

• c = 0.15(24 + m)

Use the information to answer the question.

A ski resort charges Susan a flat fee of $65 to rent skis. It also charges her a daily rate of $22 for a ski lift pass to get skiers back up the mountain. Let d = the number of days a ski lift pass is rented.

If Susan is charged $175, which equation represents her situation?

• 175 = 65d + 22

• 175 = 65 + 22d

• 175 = 87d

• 175 = 22(d + 65)

Olivia and Darius purchase bagels for a group of friends. The cost of each bagel, including tax, is $1.25. They pay with a $20 bill and receive $8.75 in change.

Which equation can be used to determine the number of bagels, b, Olivia and Darius purchase?

• 1.25b + 8.75 = 20

• 1.25 + 8.75b = 20

• 1.25b + 20 = 8.75

• 1.25 + 20b = 8.75

Steve's mom gives him $50 to spend at the mall. He must buy 2 new pairs of pants which cost $19 each. He can spend the rest at the arcade where each game costs $0.75.

Which inequality can be used to determine the number (n) of arcade games Steve can play?

• 19 + 0.75n º†50

• 38 + 0.75n º†50

• 19 + 0.75n ≤†50

• 38 + 0.75n ≤†50

A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of

long-distance calls.

If Felicia wants to keep her bill under $55, which inequality should she solve to determine m, the number of minutes of long distance calls she can make?

• m (50 + 0.05) ≤†55

• m (50 + 0.05) < 55

• 50 + 0.05m ≤†55

• 50 + 0.05m < 55

Jose wants to purchase a bike that costs $224. He currently has $104 and earns $20 per hour as a math tutor. He uses the inequality 20h + 104 ≥ 224, where h is hours, to model the number of hours he must work to afford the bike.

What is the least number of hours Jose can work and still afford the bike?

• 6 hours

• 12 hours

• 16 hours

• 18 hours

Justin has $500 in a savings account at the beginning of the summer. He wants to have at

least $300 in the account by the end of the summer. Justin withdraws $20 each week for

food, clothes, and movie tickets.

How many weeks (w) can Justin withdraw money from his account?

A

B

C

D

• w < 10

• w ≤ 10

• w > 10

• w ≥ 10

Hogan has saved $2,765 for a trip to Korea. The trip will cost at least $5,245.

Which inequality shows how much more money (m) Hogan needs to save for his trip to Korea?

• 5,245 ≥ m + 2,765

• m ≥ 5,245 + 2,765

• 2,765 ≥ 5,245 + m

• 2,765 + m ≥ 5,245

Kevin is a mattress salesperson. He earns $120 each week plus $35 per mattress sold. If Kevin wants to make at least $330 this week, what is the fewest number of mattresses he

must sell?

• 6

• 7

• 8

• 9