Free Printable Chapter 6 Review

1.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

2.

Match the graph with its inequality.

a)

7a - 21 < -2a + 34

b)

11a - 21 > a + 34

c)

-7a + 21 ≤ -2a - 34

d)

6a - 11 ≥ a + 2

3.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

4.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

5.

Write an expression.
Anita needs at least an 90 grade (g) on her test to get an A in math class.

a)

g ≤ 90

b)

g ≥ 90

c)

g < 90

d)

g > 90

6.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

n < 80

c)

n ≤ 30

d)

n ≥ 20

7.

Is x = 9 a solution to the given inequality.

4x + 5 > 9 + 2x

a)

TRUE

b)

FALSE

8.

Is x = 12 a given solution to the inequality.

-3x - 4 > 5

a)

TRUE

b)

FALSE

9.

What inequality does the number line graph represent.

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

10.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

11.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

12.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

13.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

14.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

15.

Solve
3.6 - 4.85a ≥ -6.1

a)

2 ≤ a

b)

a ≤ 2

c)

-2 ≥ a

d)

a ≥ -2

16.

x/4-9≤3

a)

x≤24

b)

x≥24

c)

x≤48

d)

x≥48

17.

2x+6>12

a)

x>9

b)

x>3

c)

x<9

d)

x<3

18.

4x-7≥21

a)

x≥7

b)

x≥-8

c)

x≤8

d)

x≤7

19.

-4x-7≥21

a)

x≥7

b)

x≥-7

c)

x≤8

d)

x≤-7

20.

x + 8 < 3 or −8x < −40

a)

x > −5 or x < 5

b)

x < −5 or x > 5

21.

−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

22.

Solve:

3x + 2 < −7 or −4x + 5 < 1

a)

x < −3 and x < 1

b)

x < −3 and x > 1

c)

x < −3 or x < 1

d)

x < −3 or x > 1

23.

Solve:

3x + 2 < −4 or 4x + 4 > 24

a)

x < −2 or x > 5

b)

x < 2 or x > 5

c)

x < −2 and x > 5

d)

x < 2 and x > 5

24.

x + 2 < −4 or −5x < −15

a)

−6 < x < 3

b)

x < −3 and x > 6

c)

x < −6 or x > 3

d)

No Solution

25.

8(m + 2)< 4(5 + 2m)

a)

no solution

b)

m < -2

c)

all real numbers

d)

m > 4

26.

Which is a solution of
5(v + 3) - 10v > -10

a)

v < 5

b)

v > 5

c)

v > -5

d)

v < -5

27.

Could x = 3 be solution to the inequality
6 < x + 5 ≤ 11?

a)

Yes

b)

No

28.

Solve -9<3r<24

a)

-3 < r < 8

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

29.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

30.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

31.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

32.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

33.

| 3c - 5 | < -2

a)

No Solution

b)

All Real Numbers

c)

1 < c < ⁷/₃

d)

c < 1 or c > ⁷/₃

34.

| k - 3 | < -1

a)

No Solution

b)

All Real Numbers

c)

2 < k < 4

d)

k < 2 or k > 4

35.

| 2w - 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

-5 < w < 6

d)

-6 < w < 5

36.

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ -4 or x ≥ 2

d)

-4 ≤ x ≤ 2

37.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

38.

| 12 + w | ≥ -5

a)

No Solution

b)

All Real Numbers

c)

w ≤ -17 or w ≥ -7

d)

-17 ≤ w ≤ -7

39.

| n + 2 | - 3 ≥ -6

a)

No Solution

b)

All Real Numbers

c)

n ≤ -5 or n ≥ 1

d)

-5 ≤ n ≤ 1

40.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

41.

3 | d + 1 | - 7 ≥ -1

a)

No Solution

b)

All Real Numbers

c)

d ≤ -3 or d ≥ 1

d)

-1 < d < 3

42.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

43.

What is the equation of the graph below?

a)

f(x) = I x I -1

b)

f(x) = I x I +1

c)

f(x) = - I x I -1

d)

f(x) = -I x I +1

44.

Describe the transformation from the Absolute Value Parent Function.

a)

Shift up 4 units

b)

Shift down 4 units

c)

Shift left 4 units

d)

Shift right 4 units

45.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

46.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

47.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

48.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

49.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

50.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

51.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

52.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

53.

y=−|x+4|

a)

A

b)

B

c)

C

d)

D

54.

y=|x|+1

a)

A

b)

B

c)

C

d)

D

55.

y=|x−3|

a)

A

b)

B

c)

C

d)

D

56.

y=|x−3|−1

a)

A

b)

B

c)

C

d)

D

57.

y=|x+2|+1

a)

A

b)

B

c)

C

d)

D

58.

y=|x−2|+3

a)

A

b)

B

c)

C

d)

D

59.

y=|x|−4

a)

A

b)

B

c)

C

d)

D

60.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

61.

What is f(6)?

a)

1

b)

4

c)

3

d)

2

62.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

63.

What is f(-1)?

a)

6

b)

-2

c)

sqrt(2)

d)

DNE

64.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

65.

An electronics store sells DVD players and cordless phones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless phone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?

a)

75d + 30c < 255

b)

75d + 30c ≤ 255

c)

75d + 30c > 255

d)

75d + 30c ≥ 255

66.

Students in a 9th grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 cm. Which inequality represents the range of heights?

a)

155 < h < 190

b)

155 ≤ h ≤ 190

c)

h ≥ 155 or h ≤ 190

d)

h > 155 or h < 190

67.

Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses without taxes. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?

a)

150

b)

271

c)

421

d)

692

68.

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains 8 hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?

a)

p ≥ 78

b)

8p ≥ 78

c)

8 + p ≥ 78

d)

78 - p ≥ 8

69.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 $<$ 10

d)

1.75m + 0.65 $>$ 10

70.

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

a)

6x + 8 > 42

b)

8x + 6 $\le$ 42

c)

6x + 8 $\ge$ 42

d)

8x + 6 < 42

Chapter 6 Review

Total questions: 70

Worksheet time: 2hrs 14mins

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