Solve Equations with variables on both sides/distribution

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

Solve the equation
12x - 15 = 3(2x+3)

• x = 4
• x = -4
• x = 2
• x = -2

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

• x = -6
• x = 6
• x = 3

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours

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