Solve Multi-Step Equations Word Problem

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

• 105 = x(35 + 0.75)

• 105 = 35x + 0.75

• 105 = 0.75x + 35

• 105 = 0.75(x + 35)

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

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

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

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

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?

Write an equation to represent this word problem.

• 5 + 4e = 25

• 5 = 4e + 25

• 5 + 4 + 25

• 4 - 4e = 25

• Use distributive property to get rid of parentheses

• Combine like terms

• Move the variable to one side of the equation

• Use inverse operations to isolate and solve for the variable.

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation