Solving absolute value equations

Solve. Select BOTH solutions.

 $\left|x-1\right|=3$  

• -2

• 2

• 4

• -3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.

 $\left|\frac{x}{5}\right|=3$  

• 8
  

• -8

• 15

• -15

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $\left|1-9x\right|=80$ 

•  $-\frac{79}{9}$  

•  $10$  

•  $-9$  

•  $9$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $\left|10x-8\right|=38$  

•  $3$  

•  $-3$  

•  $\frac{23}{5}$  

•  $\frac{19}{5}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $\left|-4+x\right|=10$  

•  $6$  

•  $14$  

•  $\frac{5}{2}$  

•  $-6$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $4\left|10x\right|-3=117$  

•  $\frac{57}{20}$  

•  $12$  

•  $3$  

•  $-3$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve for k.

|k - 9| = 4

• 5, 13

• -5, -13

• 5, -5

• 13

Tags

CCSS.6.NS.C.7C

How many solutions does the equation have?

4|m| = -20

• no solution

• one solution

• two solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

• {24}
• {-6, -8}
• {16, 4}
• {24, -24}

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3