Solving Two-Step Equations and Writing Equations

Figure out the solution to this equation: -4x + 1 = 21

• x = 120

• x = 5

• x = 30

• x = -5

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

• 1/2d + 27 

• d + 27 = 58

• 1/2d + 27 = 58

• 1/2d - 27 = 58

• 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.

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

Write an equation to represent the scenario below:

Five times the sum of a number and 3 is fifteen.

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?

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, how many hours did Theo have the limousine reserved?

• 6 hours

• 6.5 hours

• 7 hours

• 6.5 hours

A student is solving the linear expression below in their book. What is the first step the student should complete?

• Undo division by multiplying 4 on both sides.

• Undo subtraction by adding 6 on both sides.

• Undo multiplication by dividing 4 on both sides.

• Undo addition by subtracting 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?

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table