Math Solving Equations on Both Sides

Solve. Use a T-chart. 
-(4y-8) = 2(y+4)

• 0

• No Solution

• 6

• -2

Solve. Use a T-chart. 
11w + 2(3w-1)=15w

• 2

• 1

• No Solution

• 5

-5k + 10 = -2k - 14

• 8

• -8

• 2

• -2

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

f - 4 = 6f + 26

• f = -5

• f = 5

• f = 6

• f = -6

10x + 9 = 4x - 9

• 0

• 3

• -3

• -18

x - 2x + 3 = 3 - x

• all real numbers

• no solution

• x = 0

1 + 9a - 8 = 8a

• a = 7

• all real numbers

• no solution

• a = =9

5(2x -1) = -5+ 10x

• x = 5

• x = 0

• all real numbers

• no solution

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