Unit 4 Review

Identify the first step to solve: 8x = 24

• Add 8 to both sides.

• Divide by 8 on both sides.

• Subtract 8 from both sides.

• Multiply by 8 on both sides.

Solve the linear equation:

-5x + 12 = 32

• x = 6

• x = -6

• x = -4

• x = 4

What value of x makes this statement true?

7x = 6x - 10

• x = 10

• x = -8

• x = 8

• x = -10

• x = 7

What value of x makes this statement true?

2x + 5 = 9x - 9

• x = 2

• x = 7

• x = 14

• x = 11/14

• x = -7

Solve:

3(2x + 3) - 2(x + 1) = 67

• x = 0

• x = 15

• x = 15.75

• x = 12

• x = 9

Ms. Steinman distributed first in her effort to solve the equation. Did she distribute correctly?

-2(3x - 5) = 10

-6x - 5 = 10

• Yes, she distributed correctly.

• No, she forgot to multiply -2 and -5 to get +10

• No, she forgot to combine like terms, -6x - 5 is -11x.

Select the equation that has INFINITELY MANY SOLUTIONS.

• 3(2x - 5) = 8x + 15 - 2x

• -2(x + 1) = 7x + 2

• 8(2x - 2) + 6 = 7(2x + 3)

• 13x – 7 = 12(x – 1) + x + 5

Solve:

2(x - 4) = 6x + 8

• x = 0

• No Solution

• x = -4

• x = 6

• x = -3

How many solutions?

24x - 13 = 4(6x - 3) - 7

• One Solution

• Infinitely Many Solutions

• No Solution

• 2 Solutions

How many solutions?

6x - 12 = 2(2x - 6) + 2x

• One Solution

• Infinitely Many Solutions

• No Solution

• 2 Solutions