Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea and Vocabulary Example 1:Solve Two-Step Equations Example 2:Solve Two-Step Equations.

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Splash Screen

Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea and Vocabulary Example 1:Solve Two-Step Equations Example 2:Solve Two-Step Equations Example 3:Equations with Negative Coefficients Example 4:Combine Like Terms First

Main Idea/Vocabulary two-step equation Solve two-step equations.

Example 1 Solve Two-Step Equations Solve 5x + 1 = 26. Method 1Use a model. Remove a 1-tile from the mat.

Example 1 Solve Two-Step Equations Separate the remaining tiles into 5 equal groups. There are 5 tiles in each group.

Example 1 Solve Two-Step Equations Method 2Use symbols. Use the Subtraction Property of Equality. Write the equation. Subtract 1 from each side. =

Example 1 Solve Two-Step Equations Use the Division Property of Equality. Answer: The solution is 5. Divide each side by 5. Simplify. BrainPop: Two-Step Equations

1.A 2.B 3.C 4.D Example 1 Solve 3x + 2 = 20.

Example 2 Solve Two-Step Equations Write the equation. Answer: The solution is –18. Subtract 2 from each side. Simplify. Multiply each side by 3. Simplify.

1.A 2.B 3.C 4.D Example 2

Example 3 Equations with Negative Coefficients Answer: The solution is –2. Write the equation. Definition of subtraction Subtract 8 from each side. Simplify. Divide each side by –3. Simplify.

1.A 2.B 3.C 4.D Example 3 Solve 5 – 2x = 11.

Example 4 Combine Like Terms First Write the equation. Identity Property; –k = –1k Combine like terms; –1k + 3k = (–1 + 3)k or 2k. Add 2 to each side. Simplify. Divide each side by 2. Simplify. Solve 14 = –k + 3k –2. Check your solution.

Example 4 Check 14 = –k + 3k – 2Write the equation. Answer: The solution is 8. Combine Like Terms First 14 = –8 + 3(8) – 2Replace k with 8. ? 14 = – – 2Multiply. ? 14 = 14The statement is true.

1.A 2.B 3.C 4.D Example 4 Solve 10 = –n + 4n –5.

End of the Lesson

Resources Five-Minute Check (over Lesson 8–1) Image Bank Math Tools Graphing Equations with Two Variables Two-Step Equations

1.A 2.B 3.C 4.D Five Minute Check 1 Use the Distributive Property to rewrite the expression 8(y – 3). (over Lesson 8-1) Simplify 7k + 9k.

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