Free Printable Unit 2 Test Review

1.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-3,-1}

c)

{-3}

d)

No Solution

2.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

3.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

4.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

5.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

6.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

7.

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

8.

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

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

9.

Which of the following is the correct way of solving for x?

$9x\ -3\ =\ -14x\ +\ 20$

a)

b)

c)

10.

Which is the correct first step when solving for x.

$7-5\left(3x\ -\ 2\right)\ =\ 47$

a)

Cancel the 7 by subtracting 7 on both sides of the equation.

b)

Cancel the -5 by adding 5 on both sides of the equation.

c)

Cancel the 47 by subtracting 47 on both sides of the equation.

d)

Cancel the -5 by dividing by -5 on both sides of the equation.

11.

How should you isolate the variable k? $16=\frac{k}{11}$

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

12.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

13.

Solve for x. Write your answer with a comma between both numbers.

2|x-4| = 6

(a)

14.

Match the following

a)

|x| = 5

1.

x = 5, -1

b)

|2x| = -2

2.

No Solution

c)

2|x| = 2

3.

x = 1, -1

d)

4

4.

x = 3, 9

e)

$2\left|\frac{x}{5}\right|-1\ =\ 7$

5.

x = -20, 20

15.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

16.

Solve x-2 < -8 or x/8 > 1

a)

x < -6 or x > 8

b)

x > -6 or x < 8

c)

8 < x < -6

d)

-6 < x < 8

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

Ms. Steadman wanted to buy a Panthers jersey. It cost $72. She said she would save $9 each week. How many weeks will it take for her to save up enough money to buy the jersey?

a)

9

b)

72

c)

8

d)

7

20.

Solve for r.

a)

r ≥ -38 and r ≤ 32

b)

r > -38 and r < 32

c)

r ≥ -38 or r ≤ 32

d)

r > -38 or r < 32

21.

Solve for n.

a)

n ≥ 10 and n ≤ -6

b)

n > 10 and n < -6

c)

n ≥ 10 or n ≤ -6

d)

n > 10 or n < -6

22.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

23.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

24.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

25.

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

26.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

27.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

28.

| -8x | < 8

What is the correct first step?

a)

separate into two inequalities with an "and"

b)

separate into two inequalities with an "or"

c)

divide both sides by -8

d)

add 8 to both sides

29.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

30.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

31.

| 2w - 1 | < 11

a)

No Solution

b)

w < 5

c)

-5 < w and w < 6

d)

-6 < w and w < 5

32.

| x + 3 | ≤ 2

a)

No Solution

b)

x ≤ -1

c)

-5 ≤ x and x ≤ -1

d)

1 ≤ x and x ≤ 5

33.

3 | d + 1 | - 7 ≥ -1

a)

No Solution

b)

All Real Numbers

c)

d ≤ -3 or d ≥ 1

d)

-1 < d < 3

34.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

35.

Describe the transformation of the equation below from the absolute value parent function.

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

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

36.

What is the vertex of the following function? $y=2|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

37.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

38.

Choose the equation that best matches the graphed function.

a)

$f(x)=\left|x+4\right|+2$

b)

$f(x)=-\left|x-4\right|+2$

c)

$f(x)=\left|x-4\right|+2$

d)

$f(x)=-\left|x+4\right|+2$

39.

Choose the equation that best matches the graphed function.

a)

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

b)

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

c)

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

d)

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

40.

Describe the transformation of the equation below from the absolute value parent function.

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

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

41.

Write the equation for an absolute value function that shifts down 9 from the parent function, $y=\left|x\right|$ .

a)

$y=|x|-9$

b)

$y=|x-9|$

c)

$y=-9|x|$

d)

$y=|x|+9$

42.

What is the vertex of the following function?

$y=-4|x+2|+5$

a)

$\left(2,\ 5\right)$

b)

$(-1,5)$

c)

$(-4,-2)$

d)

$(-2,5)$

43.

What is the vertex of the graph of this equation?
$y=-\left|x+6\right|$

a)

(-1, 6)

b)

(-6, 1)

c)

(-6, 0)

d)

(6, 0)

44.

Choose the graph that matches the equation.

$y=|x-1|$

a)

b)

c)

d)

45.

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

a)

y=6|x|-2/5

b)

y=2/5|x|+6

c)

y=2/5|x+6|

d)

y=2/5|x-6|

46.

What is the equation of the graph below?

a)

f(x ) = I x + 4 I + 2

b)

f(x ) = -I x - 4 I + 2

c)

f(x ) = I x - 4 I + 2

d)

f(x ) = -I x + 4 I + 2

47.

Describe the transformations of the absolute value equation.

a)

Reflects over x-axis, compresses wider, shifts right 1 unit

b)

Reflects over x-axis, compresses wider, shifts up 1 unit

c)

Reflects over x-axis, stretches more narrow, shifts right 1 unit

d)

Reflects over x-axis, stretches more narrow, shifts up 1 unit

48.

What is the parent function for absolute values?

a)

$y=x$

b)

$y=|x|$

c)

$y=x^2$

d)

$y=2x$

49.

Describe the transformation of the equation below from the absolute value parent function.

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

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

50.

Describe the transformation of the equation below from the absolute value parent function.

$f\left(x\right)=\left|x+3\right|$

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

51.

Describe the transformation of the equation below from the absolute value parent function.

$y=|x|+10$

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

52.

Describe the transformation of the equation below from the absolute value parent function.

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

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

53.

What is the vertex of the graph of this equation?
$y=-\left|x+6\right|$

a)

(-1, 6)

b)

(-6, 1)

c)

(-6, 0)

d)

(6, 0)

54.

Write the equation for an absolute value function that shifts down 9 from the parent function, $y=\left|x\right|$ .

a)

$y=|x|-9$

b)

$y=|x-9|$

c)

$y=-9|x|$

d)

$y=|x|+9$

55.

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

a)

$y=-|x+2|-7$

b)

$y=|x-2|-7$

c)

$y=-|x-2|-7$

d)

$y=-|x-2|+7$

56.

What is the vertex of the following function? $y=2|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

57.

What is the vertex of the following function?

$y=-4|x+2|+5$

a)

$\left(2,\ 5\right)$

b)

$(-1,5)$

c)

$(-4,-2)$

d)

$(-2,5)$

58.

What is the vertex of the following equation:

$-\frac{1}{3}|x-5|+7$

a)

$\left(5,7\right)$

b)

$(-5,7)$

c)

$(7,-5)$

d)

$(7,5)$

59.

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

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

a)

Left 4, up 9

b)

Left 4, down 9

c)

Right 4, up 9

d)

Right 4, down 9

60.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-1\right|+5$

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, up 5

d)

right 1, down 5

61.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-2\right|+4$

a)

Left 2, up 4

b)

Right 2, up 4

c)

Left 2, down 4

d)

Right 2, down 4

62.

Solve. Select BOTH solutions.

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

a)

-2

b)

2

c)

4

d)

-3

63.

Solve. Select BOTH solutions.

$\left|\frac{x}{5}\right|=3$

a)

8

b)

-8

c)

15

d)

-15

64.

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

a)

$-\frac{74}{9}$

b)

$-8$

c)

$8$

d)

$63$

65.

Solve. Select BOTH solutions.
$\left|3x\right|+2=8$

a)

$\frac{10}{3}$

b)

$2$

c)

$-2$

d)

$-\frac{4}{3}$

66.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

67.

Solve. Select BOTH solutions.
$5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

68.

Solve by graphing

$\left|X+5\right|=2\left|x+2\right|$

a)

3,-1

b)

1,7

c)

-3,2

d)

5,6

69.

Solve by Graphing

$\left|x+3\right|=2\left|x\right|$

a)

-3,1

b)

2,6

c)

-1,3

d)

8,6

70.

Solve by graphing

$\left|x+3\right|=2x-1$

a)

6

b)

4

c)

-4

d)

8

71.

Solve by Graphing

$\left|x-2\right|=3\left|x-6\right|$

a)

5,8

b)

7,6

c)

-5,8

d)

4,2

72.

Solve Using Graphing

$2\left|x\right|-5\ge7$

a)

$x\le-6\ or\ x\ge6$

b)

$x<-6\ or\ x>6$

c)

$x=8$

d)

$x\le-8\ or\ x\ge8$

73.

Solve x-2 < -8 or x/8 > 1

a)

x < -6 or x > 8

b)

x > -6 or x < 8

c)

8 < x < -6

d)

-6 < x < 8

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

Ms. Steadman wanted to buy a Panthers jersey. It cost $72. She said she would save $9 each week. How many weeks will it take for her to save up enough money to buy the jersey?

a)

9

b)

72

c)

8

d)

7

77.

Solve for r.

a)

r ≥ -38 and r ≤ 32

b)

r > -38 and r < 32

c)

r ≥ -38 or r ≤ 32

d)

r > -38 or r < 32

78.

Solve for n.

a)

n ≥ 10 and n ≤ -6

b)

n > 10 and n < -6

c)

n ≥ 10 or n ≤ -6

d)

n > 10 or n < -6

79.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

80.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

81.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

82.

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

83.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

84.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

85.

| -8x | < 8

What is the correct first step?

a)

separate into two inequalities with an "and"

b)

separate into two inequalities with an "or"

c)

divide both sides by -8

d)

add 8 to both sides

86.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

87.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

88.

| 2w - 1 | < 11

a)

No Solution

b)

w < 5

c)

-5 < w and w < 6

d)

-6 < w and w < 5

89.

| x + 3 | ≤ 2

a)

No Solution

b)

x ≤ -1

c)

-5 ≤ x and x ≤ -1

d)

1 ≤ x and x ≤ 5

90.

3 | d + 1 | - 7 ≥ -1

a)

No Solution

b)

All Real Numbers

c)

d ≤ -3 or d ≥ 1

d)

-1 < d < 3

91.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

Unit 2 Test Review

Total questions: 91

Worksheet time: 8hrs 51mins

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