Solving and Writing Two-Step Equations

-15 = -4m + 5

• 4

• 7

• 5

• First, undo subtraction by adding 3 on both sides. Then divide both sides of the equation by 2.

• Distribute 2 to the parenthesis first.

  Then undo subtraction by adding 6 on both sides.

  Then, undo multiplication is done by dividing by 2 on both sides.

• Distribute 2 to the parenthesis first.

  Then, undo multiplication by dividing 2 on both sides.

  Then, undo subtraction by adding 6 on both sides.

Ali started with $54, and spent $6 each day at camp. He has $18 left. Which equation below can be used to find how many days (d ) Ali was at camp?

The sum of a number (n) and 5, decreased by 7 is equal to 20.

To rent a limousine, Theo must pay an initial fee of $45 in addition to $12 for every hour (h) he has the limousine reserved.  To calculate the final cost (c), Theo wrote the following equation. If the final bill amounts to $123, write an equation to solve how many hours did Theo have the limousine reserved?

• 6 hours

• 6.5 hours

• 7 hours

• 6.5 hours

Last Friday Stefan had $35. Over the weekend, his parents gave him some money for washing the car and now he has $47. Write an equation to determine how much his parents paid him for washing the car.

Joseph bought a used iPhone, then sold it for triple what he purchased it for. Write an equation to determine what he paid for the phone if he sold it for $180.

Alberto spent half of his weekly allowance on clothes. To earn more money, his parents let him clean the over for $9. Write an equation to determine his weekly allowance if he ended the week with $12.

Solve   2x -7 = -23

• -8

• 8

• -7