Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
2
Learn to solve equations with variables on both
sides of the equal sign.
3
Some problems produce equations that have
variables on both sides of the equal sign.
Solving an equation with variables on both sides
is similar to solving an equation with a variable
on only one side. You can add or subtract a term
containing a variable on both sides of an
equation.
4
Additional Example 1A Solving Equations with
Variables on Both Sides
Solve. 4x 6 x
4x 6 x
4x 4x
Subtract 4x from both sides.
6 3x
Divide both sides by 3.
2 x
5
(No Transcript)
6
Check It Out Example 2
Solve. 3b 2 2b 12
3b 2 2b 12
2b 2b
Subtract 2b from both sides.
b 2 12
2 2
Add 2 to both sides.
b 14
7
To solve multi-step equations with variables on
both sides, first combine like terms and clear
fractions. Then add or subtract variable terms to
both sides so that the variable occurs on only
one side of the equation. Then use properties of
equality to isolate the variable.
8
Additional Example 3 Solving Multi-Step
Equations with Variables on Both Sides
Solve. 10z 15 4z 8 2z - 15
10z 15 4z 8 2z 15
6z 15 2z 7
Combine like terms.
2z 2z
Add 2z to both sides.
8z 15 7
15 15
Add 15 to both sides.
8z 8
Divide both sides by 8.
z 1
9
Check It Out Example 4
Solve. 12z 12 4z 6 2z 32
12z 12 4z 6 2z 32
8z 12 2z 38
Combine like terms.
2z 2z
Add 2z to both sides.
10z 12 38
12 12
Add 12 to both sides.
10z 50
Divide both sides by 10.
z 5
10
Insert Lesson Title Here
Practice
Solve each equation. 1. 4x 16 2x 2. 8x
3 15 5x 3. 2(3x 11) 8x 4