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**Solving Equations with Grouping Symbols**

Lesson 7-2 Pages Solving Equations with Grouping Symbols PA Lesson Check 7-1

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What you will learn! How to solve equations that involve grouping symbols. How to identify equations that have no solution or an infinite number of solutions.

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Vocabulary Null or Empty set Identity

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**What you really need to know!**

To solve equations with variables on each side, use the Addition or Subtraction Property of Equality to write an equivalent equation with the variable on one side. Then solve the equation.

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**Link to Pre-Made Lesson**

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Example 1: 3h = 5(h – 2) 3h = 5h – 10 -2h = -10 h = 5

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Example 2: 6(b – 2) = 3(b + 8.5) 6b – 12 = 3b 3b – 12 = 25.5 3b = 37.5 b = 12.5

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Example 3: The perimeter of a rectangle is 36 inches. Find the dimensions if the length is 2 inches greater than three times the width.

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**The perimeter of a rectangle is 36 inches**

The perimeter of a rectangle is 36 inches. Find the dimensions if the length is 2 inches greater than three times the width. l = 2 + 3w P = 2l + 2w 36 = 2(2 + 3w) + 2w

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Example 3: 36 = 2(2 + 3w) + 2w 36 = 4 + 6w + 2w 36 = 4 + 8w 32 = 8w 4 = w

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**The solution set is empty!**

Example 4: 4x – 0.3 = 4x + 0.9 4x = 4x + 1.2 0 = 1.2 Does not make sense! The solution set is empty!

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**Solution set is all numbers!**

Example 5: Solution set is all numbers! 3(4x – 2) + 15 = 12x + 9 12x – = 12x + 9 12x + 9 = 12x + 9 12x =12x 0 = 0

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Page 336 Guided Practice #’s 3-9

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**Pages 334-336 with someone at home and study examples!**

Read: Pages with someone at home and study examples!

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**#’s 10-36 even #’s 40-56 all Practice Quiz 1 #’s 1-5**

Homework: Pages #’s even #’s all Practice Quiz 1 #’s 1-5 THQ 7-1 to 7-2 PA Lesson Check 7-2

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**Link to 7-2 Review Problems**

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Page 740 Lesson 7-2

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PA Lesson Check 7-2

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