Solving Equations with One Variable

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

Tags

CCSS.8.EE.C.7A

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

Tags

CCSS.8.EE.C.7A

8z - 22 = 3 ( 3z + 11) -z

• No Solution

• One Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

6x + 9 – x = 3x + 9 + x

• No Solution

• One Solution

• Infinite Solutions

Tags

CCSS.8.EE.C.7A

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

Tags

CCSS.8.EE.C.7A

Solve for x:
8x - 10 = -34

• 4

• 3

• -3

• -24

Tags

CCSS.7.EE.B.4A

Solve for w:
-6w + 1 = -11

• 2

• 1.2

• 12

• -2

Tags

CCSS.7.EE.B.4A

Solve:
-4x = 24

• 20

• -20

• 6

• -6

Tags

CCSS.6.EE.B.7

Solve:
3x + 7 = -8

• 5

• -5

• -12

• -18

Tags

CCSS.7.EE.B.4A

Solve:
7x - 3x - 8 = 24

• 8

• -8

• 3.2

• 4

Tags

CCSS.8.EE.C.7B