Linear Equations with variables on both sides

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

Tags

CCSS.6.EE.B.7

Solve:

 $8x-8=-4x+16$  

• 8

• 2

• 16

• 24

Jasmine solve the following equation using the steps shown:
Step 1:  $6x+9=3x-3$  

Step 2:   $3x+9=-3$  

Step 3:   $3x=-12$  

Step 4:   $x=-4$  

What operation did she perform to get from Step 1 to Step 2? 

• Subtract 3x from both sides

• Divide both sides by 3

• Subtract 9 from both sides

• Divide both sides by 2

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3
• x = 3
• x = 1
• x = 2

Solve for x:
4(1-x)+3x=-2(x+1)

• x = -6
• x = 6
• x = 3

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

Tags

CCSS.8.EE.C.8C