Solving Equations in One Variable

Which of the following equations would have one solution?

• 6x + 4 = 6x - 4

• 2(4x + 8) = 8x + 10

• 10x + 2x = 6x + 6x

• 12x = 0

Tags

CCSS.8.EE.C.7A

Which of the following equations would have no solution?

• 3x - 2 = 2 - 3x

• 10 + 4x = 4x + 10

• 9 + 2x = 3x + 9

• 12x + 4 = 12x + 8

Tags

CCSS.8.EE.C.7A

Which of the following equations would have infinite solutions?

• 3x + 9 = 2x + 9

• 8x = 8x + 4

• 3(4x + 4) = 12x +4

• -5x + 10 = 10 - 5x

Tags

CCSS.8.EE.C.7A

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides.
  The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.

Tags

CCSS.6.EE.B.7

Solve the equation:
4p = 16

• p = 12

• p = -12

• p = -4

• p = 4

Tags

CCSS.6.EE.B.7

y + 9 = -10

• 1

• -1

• 19

• -19

Tags

CCSS.6.EE.B.7

Solve the equation:

-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

Tags

CCSS.6.EE.B.7

x - 8 = -5 

• 13

• -13

• 3

• -3

Tags

CCSS.6.EE.B.7

x + 12 = 20

• x = 32

• x = -32

• x = 8

• x = -8

Tags

CCSS.6.EE.B.7

Solve for k:
3k + 5 = 23

• k = 4

• k = 5

• k = 6

• k = 7

Tags

CCSS.7.EE.B.4A