Solving Two-Step Equations

8 + 6x = 56

x = _____

What would be the first step in solving the equation for 2x+7=15?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the second step in solving the following equation?

-3x + 5 = 20

• Subtract 5 from both sides

• Divide both sides by -3

• Divide both sides by 3

• add 3x to both sides

What was this student's mistake?

• They should have subtracted 6 from both sides

• They should have multiplied both sides by 8

What was done to solve the equation?

• add 8 to both sides, then divide both sides by 5

• add 8 to both sides, then divide both sides by 40

• subtract 8 from both sides, then divide both sides by 5

• subtract 8 from both sides, then multiply both sides by 5

In the equation
4p = 20
 the variable, p, is being multiplied by 4. How should you show your work to isolate the variable and solve the equation?

• Multiply both sides by 4.
  The solution is x = 80.

• Subtract 4 from both sides. 
  The solution is p = 16.

• Add 4 to both sides. The solution is p = 24.

• Divide both sides by 4. The solution is p = 5.

(n + 5) = -2 SELECT ALL THAT APPLY: what is the first step in solving the following equation ____________

• subtract 5 from both sides

• distribute 2 to all terms in the parenthesis

• add 2

• divide by 2 on both sides

Answer explanation

remove the 2 first by division instead of distributive property

In the equation

x + 7 = 12

7 is being added to the variable, x.
How should you show your work to isolate the variable and solve the equation?

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides.

  The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5