Linear Equations Quick Check

1. Gym A charges a registration fee of $75, plus $35.75 per month for members. Gym B charges registration fee of $164, plus $17.95 for members. After how many months would the total cost to Gym A and Gym B to be the same for members.

• 10 months

• 5 months

• 7 months

• The total cost will never be the same.

2. The graph below shows the number of hours that Rue and Zoe have been working at their jobs, as well as how much money they've earned. Which is a correct conclusion about the information shown in the graph.

• After 24 hours, Rue and Zoe will have earned the same amount of money.

• After 4 hours, Zoe will have earned $12 more than Rue.

• After 4 hours, Rue will have earned $12 more than Zoe.

• After 4 hours, Rue and Zoe will have earned the same amount of money.

4. The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x.

• 6 weeks

• 12 weeks

• 2 weeks

• 7 weeks

6. Which of the following equations would have no solution?

7. Which of the following can be determined by the graph below?

9. Kameron has a combination of quarters and nickels in his wallet. The number of nickels is three times the number of quarters he has. If the value of the coins is $2.00, how many quarters does Kameron have in his wallet?

• 15

• 5

• 7

• 10

10. At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84. One kolache and 4 donuts would cost $5.36. What is the price of one donut at Sunrise Donuts?

Mathematical Equivalence

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