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PPT – Solving Multi-Step Inequalities PowerPoint presentation | free to download - id: 5ba115-NzFjN

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Solving two-step equations

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.

Use a DO-UNDO chart as a shortcut to answering

the questions. In the table, write the opposite

operations in the opposite order

- Draw the river
- Add 3 to both sides
- Simplify
- Clear the fraction -Multiply both sides by 2
- Simplify
- 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

1) Solve 2x - 1 -3

2 - 1

1 2

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

2) Solve

3 - 4

4 3

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

3) Solve 3y 1 8

- y 3
- y -3
- y
- y

4) Solve

- 4 2

2 4

2

2

- Draw the river
- Clear the fraction - Multiply both sides by 2
- Simplify
- Add 4 to both sides
- Simplify
- Check your answer

d 4 6 4 4

d 10

5) Solve

- d -7
- d -19
- d -17
- d 17

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

- Draw the river
- Subtract 3 from both sides
- Simplify
- Clear the fraction Multiply both sides by -7
- Simplify
- Check your answer

-7

-7

7) Solve 5z 16 51

- z -35
- z -7
- z 35
- z 7

8) Solve

3 5 1

- 1 5 3

- 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