8. Properties of Equality
You can multiply the same number to
both sides of an equation.
You can divide the same number from
both sides of an equation.
18. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
to get the variable alone?
19. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
20. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
STEP TWO: Use the Property
of Equality and divide by 5
on both sides.
21. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
STEP TWO: Use the Property
of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5
on both sides.
22. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
STEP TWO: Use the Property
of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5
on both sides.
STEP THREE: x 5 ÷ 5 cancel out.
What is 25 ÷ 5?
23. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
STEP TWO: Use the Property
of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5
on both sides.
STEP THREE: x 5 ÷ 5 cancel out.
What is 25 ÷ 5?
24. Example 3
Solve p x 5 = 25
STEP ONE: What can you do
Divide by 5
to get the variable alone?
STEP TWO: Use the Property
of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5
on both sides.
STEP THREE: x 5 ÷ 5 cancel out. p = 5
What is 25 ÷ 5?
26. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
to get the variable alone?
27. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
28. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
STEP TWO: Use the Property
of Equality and multiply by 4
on both sides.
29. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
STEP TWO: Use the Property
of Equality and multiply by 4
on both sides.
n÷4x4=7x4
30. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
STEP TWO: Use the Property
of Equality and multiply by 4
on both sides.
n÷4x4=7x4
STEP THREE: ÷ 4 x 4 cancel out.
What is 7 x 4?
31. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
STEP TWO: Use the Property
of Equality and multiply by 4
on both sides.
n÷4x4=7x4
STEP THREE: ÷ 4 x 4 cancel out.
What is 7 x 4?
32. Example 4
Solve n ÷ 4 = 7
STEP ONE: What can you do
Multiply by 4
to get the variable alone?
STEP TWO: Use the Property
of Equality and multiply by 4
on both sides.
n÷4x4=7x4
STEP THREE: ÷ 4 x 4 cancel out. n = 28
What is 7 x 4?