Name: ___________________________________ Per.: ____ Date: ________________
Directions : Solve each of the following examples algebraically. Use the explanations to guide you through step by step.
1) Two-step equation
Solving Algebraically
5 x

7

13
Verbal Explanation
First, I want to add seven to each side so I can find out what 5 x is equal to.
Then I divide by five to find out what 1 x equals.
Finally, I have my solution for what x equals.
 
7 13
Now, I can plug my solution back into the original equation to check if my solution is correct.
2) Solving with Parenthesis
Solving Algebraically
3
 x

4


42
Verbal Explanation
First, I am going to divide both sides by three to undo the three in front of the parenthesis.
Next, I subtract four from both sides to solve for x .
   
4


42
Finally, I have my solution for what x equals.
Now, I can plug my solution back into the original equation to check if my solution is correct.

3) Variables on both sides of the equation
Solving Algebraically
8 x

14

36

2 x
Verbal Explanation
First, I can add 2 x to each side to collect the x -terms on the left side of the equal sign
Then, I can add fourteen to each side to collect the constant terms on the right side.
Next, I can divide by 10 on each side to find out what x equals.
  
14
  
Finally, I have my solution for what x equals.
Now, I can plug my solution back into the original equation to check if my solution is correct.
4) Combining “Like-Terms”
Solving Algebraically
9 x

17

4 x

52
    
52
Verbal Explanation
First, I want to combine the 9 x and the -4 x so I subtracted 4 x from 9 x ,
Then, I subtracted seventeen from each side to isolate the x -term.
Next, divide each side by five to finish solving for x .
Finally, I have my solution for what x equals.
Now, I can plug my solution back into the original equation to check if my solution is correct.