g-3-3E-Solve Absolute Value Equations (20)

Determine the best definition of 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

Solve for d:


 $\left|d+8\right|-5=2$ 

•  $\left\{-1,-15\right\}$ 

•  $\left\{-1,-5\right\}$ 

•  $\left\{-15,15\right\}$ 

•  $\left\{1,15\right\}$ 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation for x:


 $8\left|-2x+4\right|=96$ 

•  $x=-4,\ x=8$ 

•  $x=-4$ 

•  $x=-4,\ x=-8$ 

•  $x=4,\ x=8$ 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the absolute value equation for p:


 $\left|-4+5p\right|=16$ 

•  $\left\{\frac{16}{5},\frac{12}{5}\right\}$ 

•  $\left\{4,-5\right\}$ 

•  $\left\{-\frac{12}{5},4\right\}$ 

•  $\left\{4\right\}$ 

Tags

CCSS.HSA.REI.B.3

Solve for x:


 $\left|3x-12\right|=24$ 

•  $x=12$ 

•  $x=12,\ x=4$ 

•  $x=-12,\ x=4$ 

•  $x=12,\ x=-4$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Find another number that has the same absolute value as -55:

Tags

CCSS.6.NS.C.7

Solve for t:


 $\left|2t-3\right|+5=10$ 

•  $\left\{-1,1\right\}$ 

•  $\left\{-1,4\right\}$ 

•  $\left\{-1,-4\right\}$ 

•  $\left\{1,4\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Evaluate the absolute value expression:


 $\left|1-5\right|$ 

Tags

CCSS.6.NS.C.7

Solve for n:


 $\left|-2n\right|+10=-50$ 

•  $\left\{30,-30\right\}$ 

•  $\left\{20,-20\right\}$ 

•  $\left\{-5,5\right\}$ 

•  $\left\{30,20\right\}$ 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x:


 $2\left|x-4\right|+8=18$ 

•  $x=9,\ x=-1$ 

•  $x=1,\ x=-9$ 

•  $x=4,\ x=-2$ 

•  $x=-9,\ x=-4$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3