Solve a two-step equation

1
EXAMPLE 1
Solve a two-step equation
Write original equation.
Subtract 5 from each side.
Simplify.
Multiply each side by 2.
Simplify.
2
EXAMPLE 1
Solve a two-step equation
CHECK
Write original equation.
Substitute 12 for x.
Simplify. Solution checks.
3
for Example 1
GUIDED PRACTICE
Solve the equation. Check your solution.
1. 5x 9 24
SOLUTION
Write original equation.
Subtract 9 from each side.
Simplify.
Divide each side by 5
Simplify.
4
for Example 1
GUIDED PRACTICE
CHECK
Write original equation.
Substitute 3 for x.
Simplify. Solution check.
5
for Example 1
GUIDED PRACTICE
Solve the equation. Check your solution.
2. 4y 4 16
SOLUTION
Write original equation.
Add 4 to each side
Simplify.
Divide each side by 4.
Simplify.
6
for Example 1
GUIDED PRACTICE
CHECK
Write original equation.
Substitute 5 for y.
Simplify. Solution checks.
7
for Example 1
GUIDED PRACTICE
Solve the equation. Check your solution.
SOLUTION
Write original equation.
Add 7 to each side.
Simplify.
Multiply each side by 3.
Simplify.
8
for Example 1
GUIDED PRACTICE
CHECK
Write original equation.
Substitute 18 for z.
Simplify. Solution checks.
9
for Example 1
GUIDED PRACTICE
Lesson 3.2, For use with pages 141-146
Solve the equation.
3. Simplify the expression 3(x 2) 4x 1.
x 7
ANSWER
4. There are three times as many goats as sheep
in a petting zoo. Find the number of sheep if
the total number of goats and sheep is 28.
7 sheep
ANSWER