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Solving Two-Step Equations

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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  1. Solving Two-Step Equations

  2. Algebra Tiles

  3. Variable Zero Pairs

  4. Zero Pairs

  5. Example 1

  6. Check our work -5 = 2x + 1 -5 = 2(-3) + 1 -5 = -6 + 1 -5 = -5

  7. Example 2

  8. Let’s check our work: 3x – 2 = 4 3(2) – 2 = 4 6 – 2 = 4 4 = 4

  9. Example 3

  10. Let’s check our work: 2x + 1 = 5 2(2) +1 = 5 4 +1 = 5 5 = 5

  11. 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!

  12. 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

  13. Solve + 4 = 9 + 4 = 9 - 4 - 4 (Subt. 4 from both sides)  3 = 5  3 (Mult. by 3 on both sides) x = 15 = 5

  14. Try These Problems x = 7 • 3x – 5 = 16 • 12 = 13 + • 16 = 4n + 4 • – 6 = 4 y = -4 n = 3 n = 20

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

  16. Practice Worksheet

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