TEST ABSOLUTE VALUE EQUATIONS AND INEQUALITIES

|2a - 6| = 20

• a = 7, a = -13

• No solution

• a = 13

• a = -7, a = 13

Solve:

|2x + 3| > 17

• x < -10 or x > 7

• -10 < x < 7

• x< -7 or x > 10

• no solution

| 2w - 7 | < 13

• No Solution

• w < -3 or w > 10

• -3 < w < 10

• -10 < w < 3

Solve.

-4|5 +n| < -20

• n > 10 or n < 0

• n < -10 or n >0

• -10 < n < 0

• no solution

4|5x-2|+7>39

• -6/5 < x > 2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x < -6/5 or x > 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Evaluate each expression.

| x + 30.7 | = -5

• x= 25.7

• x= -35.7

• x= -35.7 or x= -25.7

• no solution

| 3c - 5 | < -2

• No Solution

• All Real Numbers

• 1 < c < ⁷/₃

• c < 1 or c > ⁷/₃

The ideal diameter of a gear for a certain type of clock is 15.84 mm. An actual diameter can vary by 0.07 mm. Find the range of acceptable diameters.

• Between 15.77 mm and 15.91 mm, inclusive.

• Between 15.67 mm and 15.81 mm, inclusive.

• Between 14.97 mm and 16.21 mm, inclusive.

• Between 15.75 mm and 15.93 mm, inclusive.

A meteorologist reported that the previous day's temperatures varied 8º from normal temperature of 25ºF. Write an absolute value equation and find, what were the maximum and minimum temperatures possible on the previous day?

•  $\left|t-8\right|=25;\ \min:\ 17ºF\ and\ Max:\ 33ºF$ 

•  $\left|t+25\right|=8;\ \min:\ 11ºF\ and\ Max:\ 35ºF$ 

•  $\left|t-25\right|=8;\ \min:\ 17ºF\ and\ Max:\ 33ºF$ 

•  $\left|t+8\right|=25;\ \min:\ 11ºF\ and\ Max:\ 35ºF$ 

Solve

 $12\left|x-5\right|-9<6\left|x-5\right|+15$  

•  $1<x<9$  

•  $-1<x<9$  

•  $x<1\ or\ x\ >9$  

• No solution