Multi-Step Equation Problem

Bob has $150 in his savings account and saves $40 per month. Which of the following equations would be accurate if Bob has saved $400?

• 400 = 150 + 40

• 400 = 150 + 40x

• 400 = 150x + 40

An internet company charges a $100 set up fee, and then they charge $35 a month after that. If Bobbie paid $415 for internet so far this year, how many months has she been paying?

• 7 months

• 8 months

• 9 months

• 10 months

Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 

• $12

• $6

• $2

• $3

Aaron and Carl are working to earn money for prom. Aaron has $40 and is earning $6 a month for prom. Carl has $64 and $4 a week. How many weeks till they have the same amount?

• 4 weeks

• 6 weeks

• 12 weeks

• never

Five less than twice a number is equivalent to thirty.

• 5x - 2 = 30

• x - 5 = 30

• 2x - 5 = 30

• 5 - 2x = 30

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

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. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 50

• 20

• 15

• 25

WRITE AN EQUATION
Lilli spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• -x/2 + 4 = 12

• x/2 - 4 = 12

• 12 - 4 = x

• 12 - 4 = -x/2

Two more than 4 times a number is -18.

• 4x + 2 = -18

• 2x + 4 = -18

• 18 = 4x +2