Absolute Value Equations Quick Check

When solving Absolute Value Equations, we follow these 4 steps.

Put them in order.

• Isolate the absolute value on one side of the equa
• Create 2 equations, one that is positive and one t
• Solve for x
• Check your answer for extraneous solutions

We always check our solutions becasue there might be ____________________ solutions.

• funny

• correct

• extraneous

Solve the following. Click on all correct answers.

|3x| = 18

• x = 6

• x = 0

• x = -6

• no solution

Solve the following.

|x + 5| = 8

Which of the following is the solution set?

• { }

• No solution

• {-13, 3}

• {-3, 13}

Solve the following.

|2x - 3| = 7

Which of the following is the solution set?

• {-2, 5}

• {2, -5}

• No solution

• { }

Solve the following.

|3x + 4| = 10

Which of the following is the solution set?

• {2, -14/3}

• {-2, 14/3}

• No solution

• { }

We always check our solutions because there might be ____________________ solutions.

• incorrect

• multiple

• extraneous

• x = 5

• x = -3

• x = -11

• No solutions

• {-2, 3}

• {2, -5/2}

• {0, 5}

• { }

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution