Combining and Distributing Equations

Solve the equation:
3(x - 1) = 2x + 9

• x = 12

• no solution

• x = 10

• x = 6

Which of the equations has no solution?

• 2x + 1 = 5x - 3

• 2(x - 7) = 2x-14

• 3(2x+1) = 6x+1

• 15x - 30 = 0

Tags

CCSS.8.EE.C.7A

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution

• infinitely many

• no solution

Tags

CCSS.8.EE.C.7A

Solve the equation:
½ (2x + 6) = 3x + 13

• no solution

• x = 8

• x = -5

• x = 7

Tags

CCSS.8.EE.C.7B

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

Tags

CCSS.8.EE.C.7A

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

• no solution

• infinite solutions

• x = 6

• x = 0

Tags

CCSS.8.EE.C.7A

Solve the equation:
2x - 1 = ¾x + 9

• x = -10

• x = 8

• x = -37

• x = 6

Solve:
3(3x - 6) = 18

• x = 4

• x = -4

• no solution

• infinite solutions

Tags

CCSS.7.EE.B.4A

Solve the equations:

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

Tags

CCSS.8.EE.C.7B

Which step cannot be performed first when solving the equation 5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)

• Combining x and 3x

• 5 - 2