EQS - Solving Two-Step Equations

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

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.

To solve 6m = 12

• Multiply both sides by 6
• Divide both sides by 6
• Add 6 to both sides
• Subtract 6 from both sides

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

• Subtract 9 from both sides of the equation.

• Add 9 to both sides of the equation.  

• Subtract 3 from both sides of the equation.

• Add 10 to both sides of the equation.  

• Divide by 5
  

• Add 8
  

• Subtract 8
  

• Multiply by 5
  

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

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

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

• 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