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Example 1 Solve a Two-Step Equation Example 2 Solve Two-Step Equations Example 3 Solve Two-Step Equations Example 4 Equations with Negative Coeffic ients

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Page 1: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Example 1 Solve a Two-Step Equation

Example 2 Solve Two-Step Equations

Example 3 Solve Two-Step Equations

Example 4 Equations with Negative Coefficients

Page 2: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Method 1 Use a model.Remove 1-tile from the mat.

Solve

Page 3: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Separate the remaining tiles into 5 equal groups.

There are 5 tiles in each group.

Page 4: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Method 2 Use symbols.Use the Subtraction Property of Equality.

Use the Division Property of Equality.

Write the equation.Subtract 1 from each side.

Simplify.

Divide each side by 5.

Answer: The solution is 5.

Page 5: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: 6

Solve

Page 6: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Method 1 Vertical Method

Write the equation.

Add 8 to each side.

Simplify.

Divide each side by 2.

Simplify.

Check your solution.Solve

Page 7: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: The solution is 21.

Method 2 Horizontal Method

Write the equation.Add 8 to each side.

Simplify.

Divide each side by 2.

Simplify.

The sentence is true.

Write the equation.Check

Replace n with 21.

Page 8: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: 9

Check your solution.Solve

Page 9: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Write the equation.

Subtract 2 from each side.

Simplify.

Multiply each side by 3.

Simplify.

Answer: The solution is –18.

Solve

Page 10: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: –26

Solve

Page 11: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: The solution is –2.

Write the equation.

Subtract 8 from each side.

Simplify.

Divide each side by –3.

Simplify.

Definition of subtraction

Solve

Page 12: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: –3

Solve

Page 13: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Check your solution.

Write the equation.

Combine like terms;

Simplify.

Divide each side by 2.

Add 2 to each side.

Identity Property;

Simplify.

Solve

Page 14: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: The solution is 8.

Write the equation.

Multiply.

The statement is true.

Check

Replace k with 8.

Page 15: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative

Answer: 5

Solve

Page 16: Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example 3Solve Two-Step Equations Example 4Equations with Negative