One-step Equations

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

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

• Always do the opposite operation

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Solve for y in the following equation:

y ÷ 3 = 12

• 36

• -36

• 4

• -4

Solve for z in the following equation:

z - 33 = 147

• z= 114

• z = 177

• z = 180

• No Solution

Solve for h in the following equation:

0 = 4h

• h = 0

• g = 1

• h = 1

• g = 0

Which equations has w = 8 as the solution? (can be more than one equation)

• 8w= 64

• 16w = 240

• 8 - w = 16

• 48 ÷ w = 6

Solve for p in the following equation:

4p = 16

• p = 12

• p = 64

• p = 3

• p = 4

• 13

• 36

• -36

Solve for the variable (a) in the following equation:

32 = -8a

• 4

• -4

• 40

• 24

In the equation

x + 7 = 12

7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides.

  The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.