Free Printable Mini Test#4

1.

l-4l

a)

-4

b)

0

c)

4

d)

-0

2.

what is the absolute value of -|14|?

a)

14

b)

21

c)

33

d)

-14

3.

what is the absolute value of -|24|?

a)

-24

b)

24

c)

98

d)

11

4.

What is the absolute value of | 8 |?

a)

8

b)

-8

c)

0

d)

16

5.

What is the absolute value of |55|?

a)

-55

b)

45

c)

55

d)

--55

6.

Is absolute value always positive?

a)

yes

b)

no

7.

What is the absolute value of - | 15 |?

a)

-15

b)

15

c)

0

d)

no answer

8.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

9.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

10.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

11.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

12.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

13.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

14.

Choose the correct equation for the graph.

a)

$y=\left|x-6\right|-3$

b)

$y=\left|x-6\right|+3$

c)

$y=\left|x+6\right|+3$

d)

$y=\left|x+6\right|-3$

15.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

16.

Which function defines the graph?

a)

f(x) = |x - 4| + 3

b)

f(x) = |x - 3| + 4

c)

f(x) = |-x + 4| + 3

d)

f(x) = |x + 4| + 3

17.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

18.

Select the correct equation

a)

$y=-\left|x+1\right|-1$

b)

$y=-\left|x\right|$

c)

$y=\left|x+1\right|+3$

19.

Select the correct equation

a)

$y=\left|x\right|$

b)

$y=-\left|x\right|$

20.

a)

$y=-\left|x\right|+4$

b)

$y=-\left|x\right|-4$

c)

$y=-\left|x+4\right|$

21.

a)

$y=-\left|x\right|+2$

b)

$y=-\left|x\right|-2$

22.

a)

$y=-\left|x-2\right|-2$

b)

$y=\left|x-2\right|-2$

c)

$y=-\left|x+2\right|-2$

23.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

24.

Describe the transformation of the equation below:

y = I x + 3 I

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

25.

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

26.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, up 5

27.

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| - 9

a)

Left 4

up 9

b)

Left 4

Down 9

c)

Right 4

up 9

28.

What is the transformation shown below:

y = IxI -5

a)

Shifts left 5

b)

Shifts right 5

c)

Shifts up 5

d)

Shifts down 5

29.

What is the transformation of the graph below:

y = |x| - 8

a)

Shift up

b)

Shift down

30.

Describe the transformation of the equation below:

y = I x| - 4

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

31.

Describe the transformation of the equation below:

y = I x |+ 3

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

32.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

33.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

34.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

35.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

36.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

37.

−2|−2r − 4| = -12

a)

{5,1}

b)

{-5,-1}

c)

{-5,1}

d)

No Solution

38.

Solve:

a)

{24}

b)

{-6, -8}

c)

{16, 4}

d)

{24, -24}

39.

Evaluate each expression.

| x + 9 | = -5

a)

x = -14

b)

x = -4

c)

x = -14 and x = -4}

d)

no solution

40.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

41.

Solve the following equation:

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4, −5}

c)

{−12/5, 4}

d)

{4}

42.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

43.

Identify $y=\left|x\right|$

a)

Black

b)

Blue

c)

Orange

d)

Red

44.

Choose the correct translated function.

a)

f(x)= |x|+2

b)

f(x)= |x|-2

c)

f(x)= -|x|

d)

f(x)= -|x|+2

45.

Identify $y=-\left|x\right|$

a)

Black

b)

Blue

c)

Orange

d)

Red

e)

None

46.

Identify $y=-\left|x-3\right|+6$

a)

Blue

b)

Black

c)

None

47.

Solve for a. |2a - 10| = 6

a)

a = 8, a = 5

b)

a = 8

c)

a = 8, a=-2

d)

a = 8, a = 2

48.

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

a)

-2

b)

2

c)

4

d)

-3

49.

Solve. Select BOTH solutions.
$\left|10x-8\right|=38$

a)

$3$

b)

$-3$

c)

$\frac{23}{5}$

d)

$\frac{19}{5}$

50.

Solve. Select BOTH solutions.
$\left|9x+1\right|=73$

a)

$-\frac{74}{9}$

b)

$-8$

c)

$8$

d)

$63$

Mini Test#4

Total questions: 50

Worksheet time: 8hrs 20mins

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