Solving Multi-Step Inequalities - PowerPoint PPT Presentation

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Solving Multi-Step Inequalities

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Solving two-step equations To solve two-step equations, undo the operations by working backwards. Example: Ask yourself, What is the first thing we are doing to x? – PowerPoint PPT presentation

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Title: Solving Multi-Step Inequalities


1
Solving two-step equations
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
  1. Draw the river
  2. Add 3 to both sides
  3. Simplify
  4. Clear the fraction -Multiply both sides by 2
  5. Simplify
  6. Check your answer
  • DO UNDO
  • 2
  • -3
  • Follow the steps in the undo column to isolate
    the variable.

3 2
3 3
- 4 x -8 -4 3 -7
2 2
4
1) Solve 2x - 1 -3
2 - 1
1 2
1 1 2x -2 2
2 x -1 2(-1) - 1 -3 -2 1 -3
  1. Draw the river
  2. Add 1 to both sides
  3. Simplify
  4. Divide both sides by 2
  5. Simplify
  6. Check your answer

5
2) Solve
3 - 4
4 3
4 4 3 3 x
36 12 4 8
  1. Draw the river
  2. Add 4 to both sides
  3. Simplify
  4. Clear the fraction -Multiply both sides by 3
  5. Simplify
  6. Check your answer

6
3) Solve 3y 1 8
  1. y 3
  2. y -3
  3. y
  4. y

7
4) Solve
- 4 2
2 4
2
2
  1. Draw the river
  2. Clear the fraction - Multiply both sides by 2
  3. Simplify
  4. Add 4 to both sides
  5. Simplify
  6. Check your answer

d 4 6 4 4
d 10
8
5) Solve
  1. d -7
  2. d -19
  3. d -17
  4. d 17

9
6) Solve
-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
  1. Draw the river
  2. Subtract 3 from both sides
  3. Simplify
  4. Clear the fraction Multiply both sides by -7
  5. Simplify
  6. Check your answer

-7
-7
10
7) Solve 5z 16 51
  1. z -35
  2. z -7
  3. z 35
  4. z 7

11
8) Solve
3 5 1
- 1 5 3
- 1 - 1 5 5
3x 15 3 3 x 5
  1. Draw the river
  2. Subtract 1 from both sides
  3. Simplify
  4. Clear the fraction -Multiply both sides by 5
  5. Simplify
  6. Divide both sides by 3
  7. Simplify
  8. Check your answer
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