Absolute Value Equations and Inequalities

What is the definition of "Absolute Value"?

• The opposite of a number.

• The distance of a number from zero on a number line.

• The same as the number inside the "l   l" symbols.

• Three less than the number inside the "l   l" symbols.

Tags

CCSS.6.NS.C.7C

Solve:  $\left|x+3\right|=10$  

• x = 13

• x = 13 or x = 7

• x = 7

• x = 7 or x = -13

Solve:  $\left|x+4\right|-7=15$  

• x=18, x=-26

• x=18, x=14

• x=12, x=18

• No solution

Solve:  $\left|4x+12\right|=36$  

• x=24, x=-24

• x=6, x=-6

• x=6, x=-12

• x=6, x=24

Solve:  $\left|x+7\right|\le15$  

•  $x\le8\ or\ x\le22$  

•  $x\le8\ and\ x\le-22$  

•  $x\le8\ and\ x\ge22$  

•  $x\le8\ and\ x\ge-22$  

Solve:  $\left|x+4\right|-8>2$  

•  $x>6\ and\ x<10$  

•  $x>6\ or\ x<-14$  

•  $x>6\ and\ x<-14$  

•  $x<6\ or\ x<10$  

• a

• b

• c

• d

• a

• b

• c

• d

Tags

CCSS.HSA.REI.D.12

• a

• b

• c

• d

Tags

CCSS.HSA.APR.A.1

 Solve:  $5+\left|3x\right|>20$  

• x > 5 or x < -5

• x > 5 and x < -5

• x > 5 or x <  $\frac{-25}{3}$  

• x < 5 and x > 4