Multi-Step Equation Problem

10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

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

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. He has 7 medium figures. How many small and large figures does he have?

• small = 28

• small = 7

• large = 8

• large = 20

Student Council is collecting coins for the food pantry. They collected 8 times as many dimes as quarters, 30 less nickels than dimes, and 4 times as many pennies as nickels.

How many nickels did they collect?

• 8x

• x

• 8x - 30

• 4(30x - 8)

• 4(8x - 30)

Student Council is collecting coins for the food pantry. They collected 8 times as many dimes as quarters, 30 less nickels than dimes, and 4 times as many pennies as nickels. They collected a total of 389 coins. What is the correct equation for all of the coins?

• 8x + 8x - 30 = 389

• x + 8x + 8x - 30 = 389

• 8x + 8x - 30 + 4(8x - 30) = 389

• x + 8x + 8x - 30 + 4(8x - 30) = 389

Student Council is collecting coins for the food pantry. They collected 8 times as many dimes as quarters, 30 less nickels than dimes, and 4 times as many pennies as nickels. They collected a total of 389 coins. Solve the equation for x. x + 8x + 8x - 30 + 4(8x - 30) = 389

• x = 49 quarters

• x = 7 quarters

• x= 11 quarters

• x = 4.87 quarters

You start a shoveling business over the span of two months in the wintertime.

- In January, you charge $7 plus $5 for every hour it takes you to shovel.

- In February, you charge $10 plus $7 per hour.

- You made a total of $161 this winter shoveling.

How many hours did you shovel?

Tommy needs a new suit for the school dance and decides to check prices for two local suit companies.

- Tuxedo Junction charges $150 flat fee, then $50 for every hour that the suit is worn.

- Men’s Warehouse charges $100 flat fee and then $75 for ever hour the suit is worn.

In how many hours will the cost of the suits be the same?

Gabe and his sister Lola both got new cell phones. Gabe bought his phone for $350, and his plan costs $30 per month. Lola bought her phone for $140, but because she added an extended warranty, her plan costs $44 per month.

After how many months will Gabe and Lola have spent the same amount on their cell phones and plans?

• 10 months

• 20 months

• 12 months

• 15 months

Alexis and her little sister Emma went to Gold Trust National Bank. When they got there, Alexis had three times as much money in her account as Emma. After Alexis withdrew $100 to buy some new clothes and Emma deposited $25 that she got for her birthday, they had the same amount in their accounts.

How much money did Emma have in her account when she and Alexis got to the bank?

• $75

• $50

• $100

• $62.50