Solve two-step equations.

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Presentation transcript:

Solve two-step equations. Main Idea/Vocabulary

Solve Two-Step Equations Solve 5x + 1 = 26. Method 1 Use 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 2 Use symbols. Use the Subtraction Property of Equality. Write the equation. = Subtract 1 from each side. Example 1

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

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

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

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

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

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

Combine Like Terms First Solve 14 = –k + 3k –2. Check your solution. 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. Example 4

Combine Like Terms First Check 14 = –k + 3k – 2 Write the equation. 14 = –8 + 3(8) – 2 Replace k with 8. ? 14 = –8 + 24 – 2 Multiply. ? 14 = 14 The statement is true.  Answer: The solution is 8. Example 4

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

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

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

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

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

(over Lesson 8-1) 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. A. 3x – 2 B. 3x + 2 C. 4x – 2 D. 4x + 2 A B C D Five Minute Check 5

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

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