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.A.2

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.CED.A.1

CCSS.HSA.REI.A.1

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.CED.A.1

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.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

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7C

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C