Solving Absolute Value Equations

Solve for v:

|v + 8| − 5 = 2

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for r:

-|−2r − 1| = 11

Notice: there is a negative in front of the absolute value!

• {-6,5}

• {5,-6}

• -6

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for n:

|−2n| + 10 = −50

• {30, -30}

• {20,-20}

• {-5,5}

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for a:

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

8 - 9|10r - 9| = -73

• $r=\frac{9}{5},\ r=0$

• r = 0, r = 5

• $r=\frac{9}{5},\ r\ =\ 1$

• $r=-\frac{63}{10},\ r=0$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x:

|−4 + 5x| = 16

• {16/5,12/5}

• {4,-5}

• {-12/5, 4}

• 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for r:

−2|−2r − 4| = -12

• {3,1}

• {-3,-1}

• {-3}

• No Solution

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:

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

How many solutions does the following equation have?

0 = -6|9v - 7|

• no solution

• one solution

• two solutions

Tags

CCSS.HSA.REI.B.3