Solving 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

 $16=\frac{k}{11}$ 
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  The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

• Add 11 to both sides

• Multiply both sides by 11

• Divide both sides by 11

• Subtract 11 to both sides

Solve for y in the following equation:

y ÷ 3 = 12

• y = 14

• y = 9

• y = 15

• y = 36

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 does not have w = 8 as the solution?

• 8w= 64

• 16w = 128

• 8 - w = 16

• 48 ÷ w = 6

Solve for p in the following equation:

4p = 16

• p = 12

• p = 64

• p = 3

• p = 4

Solve for x in the following equation: $\frac{x}{5}=25$ 
 

• x = 5

• x = 30

• x = 125

• x = 625

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

32 = 8a

• a = 24

• a = 8

• a = 40

• a = 4

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 7. The solution is x = 1.71