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

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

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

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

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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

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1.A 2.B 3.C 4.D Example 1 A.6 B.8 C.9 D.12 Solve 3x + 2 = 20.

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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.

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1.A 2.B 3.C 4.D Example 2 A.14 B.8 C.–26 D.–35

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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.

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

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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.

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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.

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1.A 2.B 3.C 4.D Example 4 A.3 B.5 C.8 D.10 Solve 10 = –n + 4n –5.

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1.A 2.B 3.C 4.D Five Minute Check 1 A.8y – 3 B.y – 24 C.8y – 24 D.8y + 24 Use the Distributive Property to rewrite the expression 8(y – 3). (over Lesson 8-1)

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1.A 2.B 3.C 4.D Five Minute Check 2 A.–22m + 2n B.–22m – n C.–11m + n D.–11m – n Use the Distributive Property to rewrite the expression –2(11m – n). (over Lesson 8-1)

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1.A 2.B 3.C 4.D Five Minute Check 3 A.15k B.16k C.17k D.18k Simplify 7k + 9k. (over Lesson 8-1)

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1.A 2.B 3.C 4.D Five Minute Check 4 A.3h – 3 B.–3h + 3 C.–3h – 3 D.3h + 3 Simplify 14h – 3 – 11h. (over Lesson 8-1)

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1.A 2.B 3.C 4.D Five Minute Check 5 A.3x – 2 B.3x + 2 C.4x – 2 D.4x + 2 Sara has x number of apples, 3 times as many oranges as apples, and 2 peaches. Write an expression in simplest form that represents the total number of fruits. (over Lesson 8-1)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.5x + 1 B.3x C.2x – 1 D.6x Which expression represents the perimeter of the triangle? (over Lesson 8-1)

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