Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides 

Learn how to solve equations when variables are on both sides of the equal sides 

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18 Video Interactions 


  1. 00:00:19 

    The goal is to...

     

    • combine 4 - 2x to become 2x 
    • get the variables on one side of the equation and the constants on the other side of the equation 

  2. 00:00:44 

    True or false.

    For this problem it is easier to subtract 5x from both sides as the first step.

     

    • True. 
    • False. 

  3. 00:00:54 

    What's the next step?

     

    • divide by 7 
    • add 17 to both sides. 

  4. 00:01:14 

    What inverse operation needs to be performed when given 21 = 7x?

     

    • division. 
    • multiplication 

  5. 00:01:54 

    You may not know, but 1/8(24y - 48) can be efficiently simplified to 3y – 6 if you...

     

    • recognize that when 1/8 is distributed out, both 24 and 48 will be divided by 8. 

  6. 00:02:05 

    Will the narrator choose to move y to the left or to the right side of the equation?

     

    • Left side of the equation 
    • Right side of the equation. 

  7. 00:02:40 

    After substituting -6 for y, the narrator will follow the order of operations by simplifying the parentheses.

    The narrator is choosing not to apply the distributive property--which is acceptable. 

    Why?

     

    • There is less chance of error when applying the fraction to one number. 

  8. 00:04:39 

    What are we trying to do here?

     

    • Solve the equation 
    • Isolate the variable to get c by itself 

  9. 00:04:52 

    What's the first step?

     

    • move c to the left or right side of the equation. 
    • apply the distributive property. 

  10. 00:05:19 

    What should we do next?

     

    • Subtract 2c from both sides. 
    • Subtract 5c from both sides. 
    • Add 16 to both sides. 

  11. 00:05:38 

    Now what?

     

    • Subtract 17 from both sides. 
    • Add 16 to both sides. 

  12. 00:05:48 

    What inverse operation is next?

     

    • Multiply 3 on both sides. 
    • Divide 3 on both sides. 

  13. 00:06:20 

    After -11 has been substituted, will the narrator simplify the parentheses or distribute 2 across -11 and 8?

     

    • He will simplify the parentheses. 
    • He will distribute 2 across -11 and 8 

  14. 00:06:49 

    How do we simplify the right side of the equation?

     

    • Apply the distributive property on the right side of the equation. 
    • Add 16w to both sides. 

  15. 00:06:57 

    Now what?

     

    • Combine like terms on the right side of the equation 
    • Subtract 32 from both sides. 
    • Add 16w to both sides. 

  16. 00:07:18 

    Does this problem have no solution, one solution, or many solutions?

     

    • No solution 
    • One solution 
    • Many solutions. 

  17. 00:08:36 

    What is the solution to this problem?

     

    • 9 = n 
    • -19 = n 

  18. 00:09:07 

    What is the solution to this problem?

     

    • 18 = 24 No solution. 
    • 18 = 18 Many solutions. 
    • 24 = 24 Many solutions. 

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