Changing Addition and Subtraction Equations

The addition property of equality states that if the same amount is added to both sides of an equation, then the equation is still true. Which choice shows this by using the starting equation n - 2 = 5

• n - 2 = 5 + 2

• n - 2 + 2 = 5 + 2

• n + 2 - 5

• n - 2 + 5 = 2

Which equation shows the subtraction property of equality by changing the equation a + 2 = 11

• a + 2 - 5 = 11 - 5

• a + 2 + 5 = 11 + 5

• a + 2 ÷ 5 = 11 ÷ 5

• a + 2 = 11

Tell which property was used to change the first equation into the second equation.

n + 2 = 9

n + 2 - 2 = 9 - 2

• addition property of equality

• subtraction property of equality

• multiplication property of equality

• division property of equality

What is the inverse (opposite) of addition?

• addition

• subtraction

• multiplication

• division

What needs to be done to solve this equation?

z - 5 = 20

• subtract both sides by 5.

• add five to both sides.

• cross out the 5.

• add five on the left side of the equation.

How would we solve the following equation?

x + 3 = 10

• subtract 3 only on the left side of the equation.

• cross out the three.

• Subtract three on both sides of the equation.

• add three on both sides of the equation.

Solve the following equation and check your solution:

x - 11 = 9

Solve the following equation and check your solution:

72 = 24 + w

Solve the following equation and check your solution:

a + 5 = 12

Solve the following equation and check your solution:

12 = g - 56