Solving an Equation with Variables on Both Sides

x + 2 = x + 4

• all real numbers

• no solution

• x = 0

Tags

CCSS.8.EE.C.7A

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

• Add 3 to both sides

• Get the variable on one side

• Add 11 to both sides

• Add 2 on both sides.

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

22 + 2a = 37 + 6 + a

• 21

• -21

• 5

• 6

What is the second step in solving a Multi-Step Equation with variables on both sides.

• Distribute

• Combine like terms on each side of the equal sign

• Move the variable

• Solve for the variable

Tags

CCSS.8.EE.C.7B

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2

• n = -1/2

• n = 2

-8(-8x - 6) = -6x - 22

• 2/5

• -1

• 8/7 

• 2

Tags

CCSS.8.EE.C.7B

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

• x = 7

• x = 1

• x = -1

• x = -3

What is the third step in solving a Multi-Step Equation with variables on both sides.

• Distribute

• Combine like terms on each side of the equal sign

• Move the variable

• Solve for the variable

Tags

CCSS.8.EE.C.7B

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Tags

CCSS.7.EE.B.4A