Multi Step Equation Word Problem

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

5 less than a number is 15.

• x - 5 = 15

• 5 - x = 15

• 15 - x = 5

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

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

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.

How many small figures does he have?

• 4x

• x

• 2x - 6

• 6x - 2

• 2(4x - 6)

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.

How many large figures does he have?

• 4x

• x

• 2x - 6

• 6x - 2

• 2(4x - 6)

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. Using the equation x + 4x + 2x - 6 = 43, solve for x.

• x = 6.16 medium figures

• x = 5.28 medium figures

• x = 7 medium figures

• x = 8.16 medium figures