Absolute Value Equations and Extraneous Solutions

Solve. |x + 4| = 10

• 6

• -14

• 14

• -6

• no solution

Solve. 5|x + 1| = 20

• -3

• -5

• 5

• 3

• no solution

Solve. 2|x + 6| = 20

• 16

• -16

• -4

• 4

• no solution

Solve. |x| - 7 = 5

• 2

• -2

• 12

• -12

• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

Solve the following equation:

3|−8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Solve. 2|x| - 3 = 13

• 4

• -4

• 8

• -8

• No Solution

|-5| = ?

Answer explanation

Absolute value is a distance. Distance is always positive.