Algebraic Equations Using Inverse Operations

What property states that if you subtract the same number from both sides of an equation, the two sides will remain equal.    For example,  3+4 =  7   
               -4         -4
both sides equal 3!

• Addition property of equality

• Subtraction property of equality

• Multiplication property of equality 

• Commutative Property

The goal when solving an algebraic equation is to isolate the variable.

• True

• False

The inverse operation for the equation shown is:

h + 18 = 34

• subtract 34

• subtract 18

• add 34

• add 18

Solve:

n - 5 = 32

• 32

• 27

• 37

• 36

Solve the algebraic equation for p.

p + 8 = 12

• 4

• 20

• 5

• 6

Which method can be used to solve the algebraic equation below? z - 6 = 13

• Subtract 6 from both sides of the equation

• Add six to both sides of the equation

• Subtract 13 from both sides of the equation

• Add 13 to both sides of the equation

Solve for x.

x + 4 = 20

• 15

• 17

• 24

• 16

Solve for k.

k-11 = 18

• 9

• 29

• 7

• 28

What are the TWO basic rules for solving algebraic equations?

• Whatever you do to one side of the equation, you must do on the other side of the equation.

• Always add on both sides.

• Always start on the left side, regardless of where the variable is.

• Always do the inverse operation.

An inverse operation is

• reversing the sign in an inequality

• using the opposite operation to solve equations

•  A number’s distance from zero