Absolute Value Test

What is the first step to solve the following equation?

-2|x + 3| = -10

• Set up 2 equations

  -2(x + 3) = 10

  -2(x + 3) = -10

• Add 2 to both sides

• Subtract 3 from both sides

• Divide by -2 on both sides

• No Solution

When do you set up 2 equations?

|x + 2| + 3 = 4

• That is the first step.

• After you subtract 3 from both sides.

• After you add 2 and 3.

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

• -2

• 2

• 4

• -3

Solve for x.

• 55
• 60
• 15
• 35

Solve.

|4v + 12| ≥ 6

• v ≤ -4.5 or v ≥ -1.5

• -4.5 ≤ v ≤ -1.4

• -1.5 ≤ v ≤ 4.5

• v ≤ -1.5 or v ≥ 4.5

• 4

• 5

Solve the following equation:

|−2n| - 30 = −20

• {10, −10}

• {20, −20}

• {−5, 5}

• No Solution