Two-Step Equations

The key to solving a two-step equation is isolating the variable on one side of the equation. In which of the following equations is the variable isolated?

• x = 9/2 + 4

• 2x = 8

• 3x = 8 + 5

• x = 5x - 4

Which of these is a two step equation?

• x + 9 =21

• x = 11 + 2

• 2x + 9 = 21

• x/3 = 9

To solve 2x + 9 =21, what is the first step?

• Dividing each side by 2

• Dividing each side by x

• Subtracting 21 from each side

• Subtracting 9 from each side

In the equation 2x + 7 = 21, what is the value of x?

• 7

• 9

• 11

• 14

At the bookstore, George bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book costs?

• x = 129 - 4

• 5x - 4 = 129

• 5x + 4 = 129

• 4x + 5 = 129

Tom had $150 to spend on 3 pairs of pants. Each pair cost the same amount. After buying them, he had $30 left over. What equation expresses how much each pair of pants cost?

• 30x/3 = 150

• 3x - 30 = 150

• 3x = 180

• 3x + 30 = 150

What is the solution to 4 + 2x = 4

• x = -4

• x = 4

• x = 8

• x = 0

Bilbo sold half of this toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he have to start with?

• 72 cars

• 96 cars

• 36 cars

• 84 cars

Solve for x....... x/12 - 5 = 7

• x = 121

• x = 144

• x = 96

• x = 84

Solve for x..... 10x - 4x = 35 + x

• x = 4

• x = 5

• x = 7

• x = 9