Free Printable Inequalities Practice

1.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

2.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

3.

Which of these means that x is greater than or equal to 12

a)

x ≥ 12

b)

x > 12

c)

x ≠ 12

d)

x ≥ 15

4.

k/2 ≥ 8

a)

k≥16

b)

k≥6

c)

k≥4

d)

k≥10

5.

Which of the following is the solution of 2x + 3 ≤ 9 in real numbers?

a)

x ≤ 3

b)

x ≥ 2

c)

x ≤ 6

d)

x < 6

6.

Solve the expression 3x - 7 < 8.

a)

x < 7

b)

x < 8

c)

x < 3

d)

x < 5

7.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

8.

a)

x > 5

b)

x < 5

c)

x < 5

d)

x > 5

9.

a)

x + 3 > 17

b)

x + 3 > 17

c)

2x > 7

d)

2x < 7

10.

a)

x < -13

b)

x < 13

c)

x > 13

d)

x > 13

11.

a)

2x < 32

b)

2x > -32

c)

2x < -32

d)

2x < -32

12.

3x + 6 < 9

a)

x < 1

b)

x > 1

c)

x < -3

d)

x > -3

13.

If you wanted the easiest way to remember which symbol stands for "less than" you can make an "L" with your...

a)

left hand

b)

right hand

c)

belly button

d)

tongue

14.

What symbol does NOT show inequality in math?

a)

=

b)

<

c)

>

d)

>

15.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

16.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

17.

Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

18.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

19.

The sum of a number and 5 is less than 10.

a)

x + 5 > 10

b)

x + 5 <10

c)

x - 5 < 10

d)

x - 5 > 10

20.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

21.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

22.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

23.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

24.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

25.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

26.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

27.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

28.

-4x + 5 ≤ 29

a)

x ≥ 6

b)

x ≤ -6

c)

x ≥ -6

d)

x ≤ 6

29.

x/-4 + 2 > 7

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

30.

a)

y > 4/3

b)

y < 4/3

c)

y > -4/3

d)

y < -4/3

31.

a)

-0.05

b)

0.5

c)

0.05

d)

20

32.

What could be a possible value for x in this inequality?
$6+x<10$

a)

3

b)

5

c)

8

d)

10

33.

The students in Mr. Lucas's club collected 167 cans of food to donate to a food bank. This week, Mr. Lucas brought more cans so that the total number of cans was greater than 200.

$167+c>200$

What is a possible number of cans Mr. Lucas brought?

a)

23

b)

31

c)

33

d)

41

34.

A farmer needs 5 gallons of water for each tree on his farm for every day that it doesn't rain. The farmer must use less than 90 gallons of water per month per tree. If n represents the number of days it does not rain, which inequality represents this situation?

a)

5n < 90

b)

5n > 90

c)

90n > 90

d)

90n < 5

35.

Which could be a possible value of n in the inequality? $7+n<20$

a)

12

b)

13

c)

20

d)

27

36.

What is the smallest whole number that could represent m in the inequality?
$49+m>100$

a)

51

b)

52

c)

53

d)

54

37.

You need at least $130 for new gaming supplies. You have already saved $45. Which inequality represents e, the amount you still need to earn for the gaming supplies?

a)

$130+45\ =\ e$

b)

$130-45>e$

c)

$45+e\le130$

d)

$45+e\ge130$

38.

Which value is a solution to the inequality below?
$92+x\le120$

a)

38

b)

32

c)

28

d)

27

39.

Solve the inequality below:
$x+35>50$

a)

$x<15$

b)

$x>15$

c)

$x\ \le15$

d)

$x\ge15$

40.

Which of the following will make the inequality $3>y+2$ true?

a)

0

b)

1

c)

10

d)

11

41.

If $3m+1>7$ , what is a possible value for m?

a)

3

b)

2

c)

1

d)

0

42.

Tom is having his car repaired. The cost of the parts is $260 and 4 hours of labor are required. Tom needs to keep the entire cost of the repair under $400. Which inequality represents the relationship between the hourly labor cost (h), the cost of the parts and the $400 limit?

a)

$4x+260<400$

b)

$4x+260\ \le400$

c)

$4x+260>400$

d)

$4x+260\ge400$

43.

Which number line represents the solution to $x+5\ge12$

a)

b)

c)

d)

44.

Which number line represents the solution to $m+3<10$ ?

a)

b)

c)

d)

45.

Which inequality is the solution to $40d+240<3000$ ?

a)

$d<40$

b)

$d<69$

c)

$d<75$

d)

$d<81$

46.

Mrs. Ham baked 60 cookies. She wants to save more than 12 for the other 7th grade teachers and put the rest into bags of 4 for a bake sale. Which inequality shows the number of bags, b, Mrs. Ham could make?

a)

$60+4b<12$

b)

$60-4b<12$

c)

$60>4b+12$

d)

$60>4b-12$

47.

Which expression has the same value as 59.2 - 84.7 ?

a)

84.7 - 59.2

b)

-84.7 + (-59.2)

c)

59.2 - (-84.7)

d)

59.2 + (-84.7)

48.

a)

4x - 4

b)

4x - 16

c)

2x - 2

d)

12x - 12

49.

a)

b)

c)

d)

50.

Ms. Amarante's favorite kind of pizza is

a)

Plain cheese

b)

Pepperoni

c)

Pineapple

d)

Buffalo Chicken

51.

What is the unit rate/constant of proportionality?

a)

80 miles in 1 hours

b)

20 miles in 1 hours

c)

40 miles in 1 hours

d)

160 miles in 1 hours

52.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

53.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

54.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

a)

Samantha

b)

Tracy

c)

They drive the same speed per hour

55.

How much money does Miguel save per month?

a)

15 dollars per month

b)

30 dollars per month

c)

He does not save any money.

56.

Find the constant of proportionality on this table of values.

a)

k=3

b)

k=1

c)

k=0

d)

k=4

57.

What best describes the data on this graph?

a)

This graph is linear and not proportional.

b)

This graph is proportional.

c)

This graph is non-linear.

58.

Evan bought 5 pounds of bananas for $10. Christy bought 6 pounds of bananas for $9. Who has the better deal?

a)

Christy

b)

Evan

59.

What is the unit rate if the rate is 30 laps for 10 minutes.

a)

3 laps per minute

b)

10 laps per minute

c)

15 laps per minute

d)

10 laps per two minute

60.

What makes a graph proportional?

a)

Straight Line

b)

The line goes through (0,0)

c)

Curvy line

d)

Straight line and passes through (0,0)

61.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

62.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

63.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

64.

3y = -15

a)

-5

b)

5

c)

-3

d)

3

65.

-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

66.

-6x = 18

a)

3

b)

-3

c)

6

d)

-6

67.

5 = 7s - 9

a)

2

b)

6

c)

7

d)

8

68.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

69.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

70.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

71.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

72.

What do the following terms mean:
is
equal
the same as

a)

+

b)

-

c)

=

d)

x

73.

2. Cheryl gets paid $8 per hour for her job at the record store. She made a total of $96 last week. Which equation models this situation?

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

74.

Write an equation models the following statement:
17 less than h equals 42

a)

17-h=42

b)

h-17=42

c)

h+17=42

d)

17+h=42

75.

5. After dropping 5ºF, the temperature was 37ºF. Which choice models this situation?

a)

d - 37 = 5

b)

d + 5 = 37

c)

d - 5 = 37

d)

d + 37 = 5

76.

Which choice models this situation?
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

77.

A number five times is twenty five.

a)

3x = 25

b)

4x = 25

c)

5x = 25

d)

6x = 24

78.

Five less than a number n is thirty four.

a)

5 - n = 36

b)

n - 5 = 35

c)

5 - n = 34

d)

n - 5 = 34

79.

$Simplify:\ \frac{-45}{9}$

(a)

80.

$-17-\left(-2\right)=$

a)

19

b)

-19

c)

15

d)

-15

81.

$15+\left(-21\right)=$

(a)

82.

$7\left(-4\right)=$

a)

3

b)

-3

c)

28

d)

-28

83.

$-35\div\left(-7\right)$

a)

5

b)

-5

c)

-42

d)

42

84.

$Simplify:\ \frac{-8}{-64}$

a)

$8$

b)

$-8$

c)

$\frac{1}{8}$

d)

$-\frac{1}{8}$

85.

$-20+46=$

(a)

86.

$-42+17=$

a)

25

b)

-25

c)

59

d)

-59

Inequalities Practice

Total questions: 86

Worksheet time: 6hrs 40mins

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