Writing and Solving Equations

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

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 35x
• 100x + 45 = 125x + 35
• 100 + 45x = 125 + 35x
• 100 - 45x = 125 - 35x 

Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?

• 6x + 8x = 180

• 180 - 6x = 8x

• 180 + 6x = 180 + 8x

• 180 + 6x = 8x

Solve for x: 10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

• F

• G

• H

• J

Tags

CCSS.HSA.CED.A.3

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges and entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchases in order for the total cost at Carnival M and Carnival P to be the same?

• 25
• 10
• 50
• 75

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?  

• 25
• 30
• 24
• Not Here

Tags

CCSS.8.EE.C.8C

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 

Tags

CCSS.8.EE.C.8C

Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left?

• 18

• 5

• 15

• 8

Solve for x in the equation below.

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

• x=6

• x=4

• x=9

• x=8