1. Solving Multi-Step Equations
Algebra 1: Section 2-3
Solving Multi-Step Equations

2. Objectives:
To use the Distributive Property when combining like terms.
To use the Distributive Property when solving equations.

3. Steps for solving multi-step equations:
Clear the equations of fractions and decimals
Use the Distributive Property to remove parentheses on each side
Combine like terms on each side
Undo addition or subtraction
Undo multiplication or division

4. Combining Like Terms -2y + 5 + 5y = 14 3y + 5 = 14 - 5 - 5 3y = 9 3 3
3y = 9
y = 3

5. Solving an Equation with Grouping Symbols:
3(k + 8) = 21
3k + 24 = 21
3k = -3
K = -1
-3(x – 1) + 9 = 15
-3x = 15
-3x = 15
-3x = 3
x = -1

6. Solving an Equation that contains Decimals
0.025x = 23.65
25x = 23650
25x = 700
x = 28
Move decimal three times to the right because the has three decimal places and the others have two, so we move it the most times in the problems.
Solve the problem like any other problem.

7. Solve an equation that contains Fractions:
2/3 x – 5/8 x = 26
(2/3 x)(24) – (5/8 x)(24) = 26 (24)
16x x = 624
x = 624
Find the common denominator for the entire equation and multiply each part by that number.
Solve the equation

8. Check Understanding
Y + y + 2 = 18
5(y – 3) = 19

9. Assignment:
Pg. 91: multiples of 3 #3-48, 54