Solve an equation using subtraction

1
EXAMPLE 1
Solve an equation using subtraction
Solve x 7 4.
x 7 4
Write original equation.
x 7 7 4 7
Use subtraction property of equality Subtract 7
from each side.
x 3
Simplify.
2

EXAMPLE 1
Solve an equation using subtraction
CHECK Substitute 3 for x in the original
equation.
x 7 4
Write original equation.
Substitute 3 for x.
Simplify. Solution checks.
3

EXAMPLE 2
Solve an equation using addition
Solve x 12 3.
Horizontal format
Vertical format
x 12 3
x 12 3
Write original equation.
x 12 12 3 12
Add 12 to each side.
x 15
Simplify.
4

EXAMPLE 3
Solve an equation using division
Solve 6x 48.
6x 48
Write original equation.
Divide each side by 6.
x 8
Simplify.
5

for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
1. y 7 10
6
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
2. x 5 3
7
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
3. q 11 5
8
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
4. 6 t 2
9
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
5. 4x 48
10
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
6. 65 5y
11
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
7. 6w 54
12
for Examples 1, 2, and 3
GUIDED PRACTICE
Solve the equation. Check your solution.
8. 24 8n