Solving Equations Involving Absolute Value

How many solutions does the equation have?

• no solution

• one solution

• two solutions

Tags

CCSS.HSA-REI.B.4B

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

|-2 - 4n| = 34

• n = -9, n = 8

• n = 9, n = 8

• n = -9

• n = 8

|6 - 2k| = 18

• k = -6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

True or False: Is x = 4 a solution to |x + 5| = -9

• True

• False

|6 - 2f| = -5

• 11/2, 1/2

• -5, 5

• 1, 3

• ⊘ No solution

Solve |x – 12| - 3 = 11.

• -2, -26

• -2, 26

• 3, 25

• 4, -7

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

What is always your last step of solving equations with absolute values?

• Your last step depends on the equation.

• Solve for the unknown answer.

• Check your answer.

• Celebrate that you finished the problem!