Unit 2 Review (End of Semester)

The sum of six times a number and 20 is less than twice the number decreased by 10. Which inequality represents this situation?

• A 6x + 20 < 2x + 10

• B 6x + 20 > 2x - 10

• C 6x + 20 < 2x - 10

• D 20x + 6 > 10 - 2x

The school choir is selling fruit boxes for $30 each to earn money for new robes. The company charges a $125 delivery fee and $9 per box. Which inequality can be used to determine the number of boxes the choir must sell to make a profit?

• F 125 + 9x < 30x

• G 125x + 9 < 30x

• H 125 + 9x > 30x

• J 9x < 30x + 125

Tags

CCSS.7.EE.B.4B

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles

• 4 miles

• .50 mile

• -4 miles

0.5x + 6 = x - 4

• x = -20

• x = 10

• x = 20

• x = 40

At the cafe, Patty can choose to earn $12 per hour plus a $100 starting bonus, or to earn $16 per hour with no starting bonus. After how many hours of work will she earn the same amount under both payment options?

• 4 hours

• 25 hours

• 50 hours

• 84 hours

You can rent a canoe at Eastside Rentals and Westside Rentals. The costs are shown in the table. There is a certain number of hours rented at which the costs at the two shops are equal. Which equation could you use to find that number of hours?

• 10 - 20x = 25 - 15x

• 10x + 20 = 25x + 15

• 20x + 10 = 15x + 25

• 20x - 10 = 15x - 25

Ben's Bikes charges $15.50 per hour to rent a bicycle and helmet. Cathie's Bike Shop charges $9.25 per hour and a flat fee of $12.50 for the helmet rental. For what number of hours are the total charges at both shops the same?

• 1 hour

• 2 hours

• 3 hours

• 4 hours

A hockey season ticket holder pays $72.48 for all of her tickers plus $6 for a program each game. A second person pays $18.08 for each ticket to every game, but doesn't buy programs. In how many games will they have paid the same amount?

• 5

• 4

• 13

• 6

Tags

CCSS.8.EE.C.8C

Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount per month?

• 5000

• 6000

• 7000

• 7500