Review of One Step Algebra

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

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.

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Solve for x in the following equation:

20.5 = x + 4

• 16.5

• 16.05

• 24.5

• 24.05

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 = 4

• g = 1

• g = -4

• 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

Which equation best describes the situation below?

5 less than a number is 15.

• x - 5 = 15

• 5 - x = 15

• 15 - x = 5

Which equation best describes the situation below?

Two more than 4 times a number is -18.

• 4x + 2 = -18

• 2x + 4 = -18

• 18 = 4x +2