Download 1. Use the Distributive Property (if necessary). 2. Combine Like

Pre-Algebra .
7-2
7-3
Solving Multi-Step Equations
Objectives: 1.
2.
3.
OBJECTIVE
1
Combining Like Terms
KEY CONCEPT
Steps for Solving a Multi-Step Equation
1. Use the Distributive Property (if necessary).
2. Combine Like Terms.
3. Undo Addition and Subtraction.
4. Undo Multiplication or Division.
EXAMPLE 1
Solve each equation.
1. m + 2m – 4 = 14
STEPS
1. Combine like terms.
2. Add 4 to each side.
3. Simplify.
4. Divide each side by 3.
5. Simplify.
2. p + p – 13 = 171
3. s + 3s + 5 = 41
4. m + 2m + 4 = 94
OBJECTIVE
2
Using the Distributive Property
EXAMPLE 2
Solve each equation.
1. 2(5x – 3) = 14
STEPS
2. 38 = -3(4y + 2) + y
STEPS
1. Use the Distributive Property.
1. Use the Distributive Property.
2. Add 6 to each side.
2. Combine Like Terms.
3. Simplify.
3. Add 6 to each side.
4. Divide each side by 10.
4. Simplify.
5. Simplify.
5. Divide each side by -11.
5. Simplify.
3. –3(m – 6) = 3
4. 3(x + 12) – x = 8
5. 4(2q – 7) = -4
5. 44 = -5(r – 4) – r
6. 5(x – 2) – 7 = 38
7. 2(x + 9) + 5 = 1
When you count by 1’s from any integer, you are counting
EXAMPLE 3
Finding Consecutive Integers
Solve each equation.
1. The sum of three consecutive integers is 96. Find the integers.
2. Find four consecutive integers with
a sum of 358.
3. The sum of three consecutive integers is 42.
Find the integers.
4. For consecutive even integers, the first
is n, and the second is n + 2. Find two
consecutive even integers with a sum of 66.
5. Find two consecutive even integers whose
sum is 22.
.