Solving Equations by Combining Like Terms 1

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Joshua sold his bike for 10% less than he paid for it. If he sold the bike for $585, how much did he pay for it?

Use the bar diagram to write an equation. Then solve.

Solve the equation

3.5z - 2.7z = -6

Benjamin, Jackson, and Aiden are on a treasure hunt. They found a mysterious note with an equation:

24 + 0.44x = 19 + 1.69x

Can you help them solve this equation to find the next clue?

• x=4

• x= 0.44

• x = 5

• x = 5.4

Solve the equation

75 - 3.5y - 4y = 4y + 6

Naomi painted 16.5 square feet of a mural at a rate of 2 square feet per hour. Claire painted 7.5 square feet of the mural at a rate of 4 square feet per hour. If they continue at the same rates, how many more hours will it take until Naomi and Claire have painted equal areas of the mural?