Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example...

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Transcript of Lesson 2 Contents Example 1Solve a Two-Step Equation Example 2Solve Two-Step Equations Example...

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

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

Solve

Separate the remaining tiles into 5 equal groups.

There are 5 tiles in each group.

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.

Answer: 6

Solve

Method 1 Vertical Method

Write the equation.

Add 8 to each side.

Simplify.

Divide each side by 2.

Simplify.

Check your solution.Solve

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.

Answer: 9

Check your solution.Solve

Write the equation.

Subtract 2 from each side.

Simplify.

Multiply each side by 3.

Simplify.

Answer: The solution is –18.

Solve

Answer: –26

Solve

Answer: The solution is –2.

Write the equation.

Subtract 8 from each side.

Simplify.

Divide each side by –3.

Simplify.

Definition of subtraction

Solve

Answer: –3

Solve

Check your solution.

Write the equation.

Combine like terms;

Simplify.

Divide each side by 2.

Add 2 to each side.

Identity Property;

Simplify.

Solve

Answer: The solution is 8.

Write the equation.

Multiply.

The statement is true.

Check

Replace k with 8.

Answer: 5

Solve