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Solving Two-Step Equations. Algebra Tiles. Variable Zero Pairs. Zero Pairs. Example 1. Check our work. -5 = 2x + 1 -5 = 2(-3) + 1 -5 = -6 + 1 -5 = -5. Example 2. Let’s check our work: 3x – 2 = 4 3(2) – 2 = 4 6 – 2 = 4 4 = 4. Example 3.

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Solving Two-Step Equations


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check our work
Check our work

-5 = 2x + 1

-5 = 2(-3) + 1

-5 = -6 + 1

-5 = -5

slide11

Let’s check our work: 3x – 2 = 4

3(2) – 2 = 4

6 – 2 = 4

4 = 4

slide13

Let’s check our work: 2x + 1 = 5

2(2) +1 = 5

4 +1 = 5

5 = 5

steps for solving
Steps for solving
  • Get the variable term by itself.
  • In other words, do the addition/subtraction first.
  • Isolate the variable.
  • In other words, do the multiplication/ division last.

*****HINT! Whatever you do to one side of the equation you MUST do to the other side!

example
Example
  • 2x + 3 = 7 *Get the variable term alone*

-3 -3 “undo” addition by subtraction

2 x = 4 *Isolate the variable*

2 2 “undo” multiplication by division

x = 2

solve 4 9
Solve + 4 = 9

+ 4 = 9

- 4 - 4 (Subt. 4 from both sides)

 3 = 5  3 (Mult. by 3 on both sides)

x = 15

= 5

slide17

Try These Problems

x = 7

  • 3x – 5 = 16
  • 12 = 13 +
  • 16 = 4n + 4
  • – 6 = 4

y = -4

n = 3

n = 20

time to review
Time to Review!
  • Keep the equation balanced.
  • Use inverse operations to “undo”
  • Follow the rules:
          • Undo Addition or Subtaction
          • Undo Multiplication or Division