Quiz about Absolute Value Equations and Inequalities

Question 1

Solve each equation:

$$-\left|4-8x\right|=12$$

Accepted Answer

No Solution

Answer

{-1, 16}

Answer

{0,12}

Answer

{5, 13}

Question 2

How many solutions does the equation $$\left|4x+7\right|=-3$$ have?

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely Many

Question 3

Solve the inequality.

$$\left|-3x+1\right|\ge7$$

Accepted Answer

Question 4

What is the solution of

$$\left|2x-4\right|=16\ ?$$

Accepted Answer

{-6, 10}

Answer

{-5, 17}

Answer

No Solution

Answer

{-1, 18}

Question 5

What is the vertex of the given function?

$$f\left(x\right)=\left|2x+1\right|+5$$

Accepted Answer

(-0.5, 5)

Answer

(-0.88, 6)

Answer

(-2, 10)

Answer

(-0.1, 8)

Question 6

State the Transformation of the given function, as compared to the parent function $$f\left(x\right)=\left|x\right|$$

$$f\left(x\right)=-\left|x\right|$$

Accepted Answer

Reflection across the x-axis.

Answer

Reflection across the y-axis.

Answer

Down 1 unit.

Answer

Up 1 unit.

Question 7

Solve the system of linear equations using a Matrix:

$$x-2y-2z=6$$

$$2x-3y-5z=7$$

$$3x+4y+z=2$$

Accepted Answer

{4,-3,2}

Answer

{2 , 1, 1}

Answer

{0, -2, 17}

Answer

{-3, 12, 19}

Absolute Value Equations and Inequalities