Algebraic Equations One Variable

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

• True

• False

The inverse operation of addition is multiplication.

• True

• False

The inverse operation of subtraction is addition.

• True

• False

The inverse operation for the equation shown is:

h + 18 = 34

• subtract 34

• subtract 18

• add 34

• add 18

Find the value of c in this equation:

c - 8 = 42

• 34

• 8

• 42

• 50

What are the TWO basic rules for solving algebraic equations?

*Hint: You will need to pick more than one!

• 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 example of a pair of INVERSE operations

• addition and subtraction

• addition and multiplication

• subtraction and division

• subtraction and multiplication

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