Multi Step Equation Word Problem

A rental car agency charges $30.00 per day plus $0.15 per mile. Another 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? (Select the correct equation AND solution)

• 30 + 0.15m = 36 + 0.10m

• 30m + 0.15 = 36m + 0.10

• 30.15m = 36.10m

• m = 120 miles

• m = 12 miles

Nathan has $244 and earns $22 each day. Katherine has $521 and spends $12 each day. When will they have the same amount of money?

Nick purchased 50 cookies and eats 2 cookies each day. Trevor has 27 cookies and eats one cookie each day. After how many days will they have eaten the same number of cookies? (HINT: I would write this one down!)

A plant is 14 inches tall. If it grows 3 inches per year, how many years will it take to reach a height of 38 inches?

Which equations models the situation above?

• 14 + 3x = 38

• 3x - 14 = 38

• 3 + 14x = 38

• 14x -3 = 38

Tags

CCSS.7.EE.B.4A

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

• 0.50 mile

• -4 miles 

Tags

8.17

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

• 0.50 mile

• -4 miles 

Tags

8.17

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 

Tags

8.17

Joey has a collection of action figures. He separates them into small, medium, and large figures. He has 4 times as many small figures as medium figures. The number of large figures is 6 less than 2 times the number of medium figures. He has a total of 43 action figures. Which is the correct equation for amount of action figures?

• 4x + 2x - 6 = 43

• x + 4x + 2x - 6 = 43

• x - 4x + 2x + 6 = 43

Tags

CCSS.8.EE.C.7B

Jim has one dollar.  He spends 16 cents on a pencil.  Jim's dad gives him five dollars for mowing the grass. Write an equation with a letter for the unknown to find out how much money Jim has now.

• 100¢ -16¢  ⁼ m

• m ⁼1 dollar

• $1.00 - $.16 + $5.00 ⁼ m

• 5 +1 + 16⁼ m

Tags

CCSS.HSA.CED.A.3

Which Equation Best Represents the Problem below: Lynn wants to take a trip to Costa Rica. - Lynn saves $500 per week from her job. - However, she loses $250 per week because of her weekly expenses. - She already has $100 saved. - The Total Cost of the Trip to Costa Rica is $1600. How many weeks will it take her to save for a trip to Costa Rica?