#1 Write and Solve Equations Quiz (CORRECTIONS)

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

• 10 months 
• 5 months 
• 7 months 
• The total cost will never be the same 

Find the value of x that would make the equation modeled above true. 

• 5.4
• 0.8
• 1.25
• 4.5

Bryan has $90 and his brother has $180.  Bryan saves $10.50 per week, and his brother saves $7.50 per week.  How many weeks will it take for the boys to have the same amount of money?  

Renting a kayak costs $10 per hour. Renting a canoe costs $5 per hour plus a $7 fee. Which equation could be used to determine h, the number of hours for which they each cost the same?

• 10h=5h+7

• 10h=5+7h

• 10h+5h=7

• 5h=10h+7

What is the solution to this equation?

2x + 3 = x − 4

• -3

• 0

• -7

• 7

Solve for x in the equation below.

6(x + 3) = 3(x + 10)

• x=6

• x=4

• x=9

• x=8

What value of x makes this equation true?

• 3

• -9

• -1

• 27

Set up an equation and solve for the cost of each ticket....

• $25

• $12.50

• $15

• $7.50

Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of 1.2 gallons per minute.

Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.

After how many minutes will both aquariums contain the same amount of water?

• 148 min

• 125 min

• 25 min

• 50 min

The model represents an equation.

What value of x makes the equation true?

Mathematical Equivalence

ON