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Lesson 7-1 Pages 330-333
Solving Equations with Variables on
Each Side
What you will learn!How to solve equations with variables on each side.
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: Solve:
5x5x ++ 1212 == 2x2x-5x-5x -5x-5x
1212 == -3x-3x-3-3 -3-3-4-4 == xx
5x5x ++ 1212 == 2x2x-2x-2x -2x-2x3x3x ++ 1212 == 00
-12-12 -12-123x3x == -12-1233 33xx == -4-4
Example 2: Solve:
7x7x ++ 33 == 2x2x ++ 2323-2x-2x -2x-2x5x5x ++ 33 == 2323
-3-3 -3-35x5x == 202055 55xx == 44
Example 2b: Solve:
1.71.7 ++ aa == 2.5a2.5a −− 4.94.9-a-a -a-a
1.71.7 == 1.5a1.5a −− 4.94.9+4.9+4.9 ++ 4.94.9
6.66.6 == 1.5a1.5a1.51.5 1.51.54.44.4 == aa
Example 3:
A car rental agency has two plans. Under plan A, a car rents for $80 plus $20 each day. Under plan B, a car rents for $120 plus $15 each day. What number of days results in the same costs?80 + 20d = 120 + 15d
Example 2b: Solve:
8080 ++ 20d20d == 121200 ++ 15d15d
-15d-15d -15d-15d8080 ++ 5d5d == 1212
00-80-80 -80-80
5d5d == 404055 55dd == 88
Same for 8 days
Page 332
Guided Practice
#’s 3-9
Pages 330-331 with someone at home and
study examples!
Read:
Homework: Pages 332-333
#’s 10-36 even
#’s 39-40, 42-53
PA Lesson Check 7-1
Page
739
Lesson 7-1
PA Lesson Check 7-1