Lesson 7-2 Pages 334-338

Solving Equations with Grouping

SymbolsPA Lesson Check 7-1

What you will learn!1. How to solve equations that involve grouping symbols.

2. How to identify equations that have no solution or an infinite number of solutions.

Null or Empty Null or Empty setsetIdentityIdentity

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.

Link to Pre-Made Lesson

Example 1:

3h = 5h – 10

-2h = -10

h = 5

3h = 5(h – 2)

Example 2:

6b – 12 = 3b + 25.5

3b – 12 = 25.5

3b = 37.5

b = 12.5

6(b – 2) = 3(b + 8.5)

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. 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 = 4 + 6w + 2w

36 = 4 + 8w

32 = 8w

4 = w

36 = 2(2 + 3w) + 2w

Example 4:

4x = 4x + 1.2

0 = 1.2

Does not make sense!

The solution set is empty!

4x – 0.3 = 4x + 0.9

Example 5:

12x – 6 + 15 = 12x + 9

12x + 9 = 12x + 9

12x =12x

0 = 0

3(4x – 2) + 15 = 12x + 9

Solution set is all numbers!

Page 336

Guided Practice

#’s 3-9

Pages 334-336 with someone at home and

study examples!

Read:

Homework: Pages 337-338

#’s 10-36 even

#’s 40-56 all

Practice Quiz 1 #’s 1-5PA Lesson Check 7-2THQ 7-1 to 7-2

Link to 7-2 Review Problems

Page

740

Lesson 7-2

PA Lesson Check 7-2