Solving Absolute-Value Equations

Solve the following equation:

|−4 + 5x| = 16

• {16/5,12/5}

• {4, −5}

• {−12/5, 4}

• {4}

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, x = −6

• x = 3, x = −12

• x = 6, x = −12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

|2a + 10| = 6

• a = 8, a = 2

• a = −2

• a = −8

• a = −8, a = −2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

|2a − 10| = 6

• a = 8, a = 5

• a = 8

• a = 8, a = −2

• a = 8, a = 2

Tags

CCSS.HSA.REI.B.3

Solve the following equation:

|6 − 2k| = 18

• k = −6, k = 6

• k = −6, k = 12

• k = −6, k = −12

• k = −6, k = 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

|−2n| + 10 = −50

• {30, −30}

• {20, −20}

• {−5, 5}

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

|v + 8| − 5 = 2

• {−1, −15}

• {−1, −5}

• {−15, 15}

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

−2|−2r − 4| = −12

• {3, 1}

• {−5, 1}

• {−5, 5}

• No Solution

Tags

CCSS.HSA.REI.B.3

Solve the following equation:

|2x – 3| + 5 = 10.

• {−1, 1}

• {−1, 4}

• {−1, −4}

• {1, 4}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the following equation:

3| −8x| + 8 = 80

• {−7/3, 7/3}

• {−3, 3}

• {11/3, −11/3}

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3