Solving Multi-Step Inequalities

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Math Objective Solve Two-Step Equations
Algebra and Functions 4.1
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What??? I just learned 1-step!

• Relax. Youll use what you already know to solve
  2-step equations.

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So, whats first?

• You need to break up the equation into its two
  steps.

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STEP 1

• The first step will always be either adding or
• subtracting.

-
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STEP 2

• The second step will always be either
• multiplying or dividing.

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Follow these steps to solve two step equations

1. Draw the river- Two lines around your equal
   sign to divide two sides of equation.
2. Beginning with the side of the equation with the
   variable, add or subtract to get rid of the
   constant.
3. Simplify.
4. Multiply or Divide to isolate your variable.
5. Simplify to solve for the variable.
6. Check your answer.

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Follow the steps to solve the equation

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

3 3
- 4 x -8 -4 3 -7
2 2
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1) Solve 2x - 1 -3
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

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2) Solve
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

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3) Solve -5n 7 22
- 7 - 7 -5n 15 -5
-5 n -3 -5(-3) 7 22 15 7 22

1. Draw the river
2. Subtract 7 from both sides
3. Simplify
4. Divide both sides by -5
5. Simplify
6. Check your answer

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4) Solve
2 2 4 4 x
32 8 2 6

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

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5) Solve 3y 1 8

• A. y 3
• B. y -3
• C. y
• D. y

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6) Solve 5z 16 51

• A. z -35
• B. z -7
• C. z 35
• D. z 7