8 x 3 x y 4 x 2 1 x 2 2 6 group like terms 5 x 2 4

8 x + 3 x + y =
4 x
2
+1 x
2
+ 2 - 6
Group like terms.
= 5 x
2
-
4
BACK

y y x y x 5 7 2 2 + - - - +
x x 1 2 -
x
y y y 5 1 2 + - +
y 6 +
7 -
7 -
BACK

Combine like terms with parenthesis…
( 29
15 3 2 3 8 + - + f f
15 9 6 8 + - + f f
6 14 + f
BACK

Objectives
•
Use the Distributive Property to solve
equations.
•
Solve real-world problems by using
multistep equations.

Key Skills
Solve 3(x - 4) = 48
Use the distributive property.
3 * x + 3 * -4 = 48
3 (x - 4) = 48
Multiply
3x - 12 = 48
Add both sides of the =
sign.
+12 +12
3x = 60
Divide both sides of
the = sign by 3.
3 3
x = 20

Key Skills
Solve 5(x +2) = 35
Use the distributive property.
5 * x + 5 * 2 = 35
Solve 5 (x +2) = 35
Multiply
5x + 10 = 35
Subtract 10 from both
sides of the = sign.
-10 -10
5x = 25
Divide both sides of
the = sign by 3 .
5 5
x = 5
TRY THIS

Key Skills
Solve 3y – 8 –y = 6
Combine like terms that are
on the same side of the = sign.
Solve 3y – 8 –y = 6
2y – 8 = 6
Add 8 to both sides of the = sign.
+ 8 + 8
2y = 14
Divide both sides of the equal sign by 2
2 2
y = 7

Key Skills
Solve 6y +2 –3y = 8
Combine like terms that are
on the same side of the = sign.
Solve 6y +2 –3y = 8
3y +2 = 8
Subtract 2 from both
sides of the =
sign.
-2 -2
3y = 6
Divide both sides of the equal sign by 3
3 3
y = 2
TRY THIS

Key Skills
Solve
4x -8(x + 1) = 8 4x -8 (x + 1) = 8 Distribute -8
4x -8 * x + -8 * 1 = 8
Multiply
4x -8x -8 = 8
Combine like terms.