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solve two-step equations using inverse operations.

Objective The student will be able to:. solve two-step equations using inverse operations. To solve two-step equations, undo the operations by working backwards. Recall the order of operations as you answer these questions. Dividing by 2 Subtracting 3. Example: Ask yourself,

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solve two-step equations using inverse operations.

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  1. ObjectiveThe student will be able to: solve two-step equations using inverse operations.

  2. To solve two-step equations, undo the operations by working backwards. • Recall the order of operations as you answer these questions. • Dividing by 2 • Subtracting 3 Example: Ask yourself, • What is the first thing we are doing to x? • What is the second thing? To undo these steps, do the opposite operations in opposite order.

  3. Use a DO-UNDO chart as a shortcut to answering the questions. In the table, write the opposite operations in the opposite order DO UNDO ÷2 -3 Follow the steps in the ‘undo’ column to isolate the variable. • Draw “the river” • Add 3 to both sides • Simplify • Clear the fraction -Multiply both sides by 2 • Simplify • Check your answer +3 · 2 + 3 + 3 = - 4 x = -8 -4 – 3 = -7 2 · · 2

  4. D U · 2 - 1 + 1 ÷ 2 1) Solve 2x - 1 = -3 + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3 • Draw “the river” • Add 1 to both sides • Simplify • Divide both sides by 2 • Simplify • Check your answer

  5. D U ÷ 3 - 4 + 4 · 3 2) Solve + 4 + 4 3 · · 3 x = 36 12 – 4 = 8 • Draw “the river” • Add 4 to both sides • Simplify • Clear the fraction -Multiply both sides by 3 • Simplify • Check your answer

  6. Answer Now 3) Solve 3y – 1 = 8 • y = 3 • y = -3 • y = • y =

  7. D U - 4 ÷ 2 · 2 + 4 • Draw “the river” • Clear the fraction - Multiply both sides by 2 • Simplify • Add 4 to both sides • Simplify • Check your answer 3) Solve d – 4 = 6 + 4 + 4 d = 10

  8. Answer Now 4) Solve • d = -7 • d = -19 • d = -17 • d = 17

  9. D U ÷ -7 + 3 - 3 · -7 Do/Undo Chart – This one is tricky! Remember to always use the sign in front of the number. -3 -3 a = 35 5) Solve • Draw “the river” • Subtract 3 from both sides • Simplify • Clear the fraction – Multiply both sides by -7 • Simplify • Check your answer

  10. Answer Now 6) Solve 5z + 16 = 51 • z = -35 • z = -7 • z = 35 • z = 7

  11. D U · 3 ÷ 5 + 1 - 1 · 5 ÷ 3 7) Solve - 1 - 1 5 · · 5 3x = 15 3 3 x = 5 • Draw “the river” • Subtract 1 from both sides • Simplify • Clear the fraction -Multiply both sides by 5 • Simplify • Divide both sides by 3 • Simplify • Check your answer

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