Solving 1-step Equations

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

• What you do to one side of the equation, you must copy and do to the other side of the equation.

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

• Negative signs can be ignored

• Always do the opposite operation

What is the goal when solving algebraic equations?

• To get the answer

• To get rid of the equal sign

• To isolate the variable

• To divide

Solve for x:

x + 8 = -3

• x = -5

• x = 5

• x = -11

• x = 11

Solve for k:

6k = 30

• k = 36

• k = 24

• k = 180

• k = 5

What is the value of k?

9 + k = 18

• k = 7

• k = 8

• k = 9

• k = 27

Solve:

3w = 30

• w = 6

• w = 9

• w = 10

• w = 90

Solve:

-4x = 24

• x = 20

• x = 28

• x = 6

• x = -6

Solve for y in the following equation:

 $y\ \div\ 3\ =\ 12$  

• y = 36

• y = -36

• y = 4

• y = -4

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

• Divide both sides by 11
  

• Multiply both sides by 11

• Add 11 to both sides

• Subtract 11 from both sides

4.5w = 22.5

• w = 101.25

• w = 5

• w = 3

• w = 18