Transcript 2.3 Solving Multi-Step Equations • Combining like terms Solve each equation. a. 2c + c + 12 = 78 3c + 12 = 78 -

2.3 Solving Multi-Step Equations
• Combining like terms
Solve each equation.
a. 2c + c + 12 = 78
3c + 12 = 78
- 12 - 12
3c = 66
c = 22
b. 4b + 16 + 2b = 46
6b + 16 = 46
6b = 30
b=5
Solving an Equation with Grouping
Symbols
• Solve -2(b – 4) = 12
-2b + 8 = 12
- 8 -8
-2b = 4
b = -2
Solving an Equation that Contains Fractions
• Solve
2x x
 7
3 2
2
1
x x 7
3
2
4
3
x x 7
6
6
7
x7
6
67  6
 x   (7)
76  7
x6
Solving an Equation that Contains Decimals
• Solve 0.5a + 8.75 = 13.25
100(0.5a + 8.75) = 100(13.25)
100(0.5a) + 100(8.75) = 100(13.25)
50a + 875 = 1325
- 875 -875
50a = 450
a=9
Steps for Solving a Multi-Step Equation
1. Clear the equation of fractions and decimals.
2. Use the Distributive Property to remove
parentheses on each side.
3. Combine like terms on each side.
4. Undo addition or subtraction.
5. Undo multiplication or divison.
More Practice!!!
• Textbook – p. 91 # 1 – 9, 12 – 28 even.
• Homework – workbook p. 277 # 2 – 32
even, p. 279 # 1 – 25 odd