Multi Step Equations with Variables on Both Sides

Solving Multi Step Equations with Variables on Both Sides

1. Simplify each side

2. Move all the variable terms to one side and all constant terms to the other

3. Isolate the variable using multiplication or division

Here are the steps to solving a multi-step equation:

• Distributive Property

• Combine like terms (​on the same side of the equation)

• Use inverse operations ​to put variables and constants on opposite sides of the equations

• Isolate the variable​

Subject | Subject

Multiple Choice

What is the first thing you should do to simplify an equation?

• add

• Distributive Property

• Combine like terms

• divide

Multiple Choice

$$6m-17=8m-31$$  

• $$m=1$$  

• $$m=5$$  

• $$m=7$$  

• $$m=-16$$  

Multiple Choice

$$7\left(-2x\ +\ 9\right)-3x\ =\ 97$$  

• $$x=\ -3$$  

• $$x\ =\ -2$$  

• $$Infinite\ Solutions$$  

• $$x\ =\ 17$$  

Multiple Choice

$$4\left(2p-5\right)=-18-2\left(1-4p\right)$$  

• $$p=1$$  

• $$p=-20$$  

• $$No\ Solution$$  

• $$Infinite\ Solutions$$  

Multiple Choice

Solve:

2y − 3 = 2y − 3

• y = 0

• y = -3

• infinitely many solutions

• no solutions

Multiple Choice

Solve:

6(y + 4) = 6y + 10

• y = 10

• y = 24

• infinitely many solutions

• no solutions

Multiple Choice

Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly allowance if she ended with seventeen dollars? 

• $20
• $48
• $10
• $12

Multiple Choice

On Monday, three hundred sixty - one students went on a trip to the zoo. All seven buses were filled and four students had to travel separately. How many students were in each bus? 

• 357
• 51
• 40
• 45

Multiple Choice

Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 

• $12
• $6
• $2
• $3