 # Solving Equations with Grouping Symbols

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

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.

Vocabulary Null or Empty set Identity

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.

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

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

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.

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

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

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!

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

Page 336 Guided Practice #’s 3-9

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

#’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