Solving Absolute Value Equations

Solve. Select BOTH solutions.

 $\left|x-1\right|=3$  

• -2

• 2

• 4

• -3

Tags

CCSS.6.NS.C.7C

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.
 $5\left|7+x\right|+2=17$  

•  $-10$  

•  $3$  

•  $4$  

•  $-4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $\frac{\left|-1+x\right|}{5}=1$  

•  $-4$  

•  $7$  

•  $-5$  

•  $6$  

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

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

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

Solve |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

−2|−2r − 4| = -12

• {3,1}
• {-3,-1}
• {-3}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $-3\left|x+2\right|+9=-21$  

• x = 8 and x = 12

• x = -12 and x = 12

• x = 8 and x = -12

• x = 8 and x = -8