Download Solving Multi-Step Equations

Solving Multi-Step Equations
Solving Multi-Step Equations
(Combing Like Terms)
1. Combine Like Terms/Distribute (simplify)
2. Add or Subtract
3. Multiply or Divide
Additional Example 1: Solving Equations That
Contain Like Terms
Try This: Example 1
Solve 12 – 7b + 10b = 18.
12 – 7b + 10b = 18
12 + 3b = 18
– 12
– 12
3b = 6
3b = 6
3
3
b =
2
Combine like terms.
Subtract 12 from both sides.
Divide both sides by 3.
Solve 14 – 8b + 12b = 62.
14 – 8b + 12b = 62
14 + 4b = 62
– 14
– 14
4b = 48
4b = 48
4
4
b =
Combine like terms.
Subtract 14 from both sides.
Divide both sides by 4.
12
1
Sometimes one side of an equation has
has a variable expression as the
numerator of a fraction. With this type
of equation, it may help to first multiply
both sides of the equation by the
denominator.
Additional Example 2: Solving Equations That
Contain Fractions
3y
–
6
Solve
= 3.
7
(7) 3y – 6 = (7)3
Multiply both sides by 7.
7
3y – 6 = 21
+6 +6
Add 6 to both sides.
3y
= 27
3y
3
= 27
3
y=9
Divide both sides by 3.
Whiteboard Practice
Try This: Example 2
4y – 4
= 14.
8
(8) 4y – 4 = (8)14 Multiply both sides by 8.
8
4y – 4 = 112
+4 +4
Add 4 to both sides.
Solve
4y
= 116
4y
4
= 116
4
y = 29
Divide both sides by 4.
Directions: Solve each equation by showing
which property you use and check your answer.
1.
2.
3.
4.
5.
6.
7.
8.
15x-8 – 3x = 16
5n + 3 + 4n = 30
c – 6 +7c = 42
-3g + 6 + 2g = 15
-2b + 7 – 3b = 2
5y + 1 + 3y = -15
4k – 14 + 3k = 21
9m + 10 – 14m = -5
2