Free Printable Level 3: Inequalities Set

1.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

2.

I.2

Less than or equal to:

a)

≤

b)

<

c)

>

d)

≥

3.

I.3

Greater than

a)

<

b)

>

c)

≥

d)

≤

4.

I.4

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

5.

I.5

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

6.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

7.

I.7

Select all values that are solutions to the inequality x < 20

a)

0

b)

100

c)

10

d)

50

e)

20

8.

I.8

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

9.

I.9

When graphing b< 6 would you use an open or closed circle?

a)

open

b)

closed

10.

I.10

Which inequality describes all of the solutions to the given inequality?

$5\left(3-x\right)<-2x+6$

a)

x < -9

b)

x > 3

c)

x < -3

d)

x > 7

11.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

12.

I.12

When graphing b ≤ 6 would you use an open or closed circle?

a)

open

b)

closed

13.

I.13

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

14.

I.14

Kindly solve the inequality

a)

No solution

b)

All real numbers

c)

x>4

d)

x<-12

e)

x>-12

15.

I.15

Kindly solve the inequality

a)

No solution

b)

All real numbers

c)

x>-7

d)

x<-3

e)

x>-3

16.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

17.

I.17

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

18.

I.18

Kindly solve the system of inequalities by graphing.

a)

b)

c)

d)

19.

I.19

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

20.

I.20

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

21.

I.21

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

22.

I.22

The ticket to the movie costs $10. How much money should Kristin take with her?
Let x represent the amount of money Kristin takes with her.

a)

x > 10

b)

x ≥ 10

c)

x < 10

d)

x ≤ 10

23.

I.23

Karen has $25 to buy her best friend a gift. How much can the gift cost?
Let x represent the cost of the gift.

a)

x > 25

b)

x ≥ 25

c)

x < 25

d)

x ≤ 25

24.

I.24

Tracy's car can fit up to 5 friends. Which inequality represents the number of friends she can drive?
Let x represent the number of friends Tracy can fit in her car.

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

25.

I.25

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

26.

I.26

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

27.

I.27

Pick the correct letter for:
x > 6

a)

A

b)

B

c)

C

d)

D

28.

I.28

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

29.

I.29

Solve the following: 3(x-2) < 2(x+9)

a)

x<24

b)

x>-24

c)

x<12

d)

x>18

30.

I.30

Solve the set of solutions: −2(4x−5)<9−2(x−2).

a)

x< $-\frac{1}{2}$

b)

x<3

c)

x>3

d)

x> $-\frac{1}{2}$

31.

I.31

Solve the following equation for x:
4(2x - 3) = 6x + 2

a)

x = 5/2

b)

x = 7

c)

x = 1

d)

no solution

32.

I.32

Solve the following inequality for x:
12x - 14x + 2 < 20 - 6

a)

x > -6

b)

x > 6

c)

x < 6

d)

x = -6

e)

x < -6

33.

I.33

Match the number line

with the inequality.

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

34.

I.34

Solve the inequality:

3(x – 1) ≥ –9

a)

x ≥ –2

b)

x ≥ 2

c)

x ≤ –2

d)

x ≤ 2

35.

I.35

Graph the solution set of the inequality.

2n + 4 < 16

a)

b)

c)

d)

36.

I.36

$\frac{7x+6}{2}\le3x+2$
Solve for x

a)

x > -2

b)

x = -3

c)

x ≥ -1

d)

x < -4

e)

x ≤ -2

37.

I.37

$\frac{7x+6}{2}\le3x+2$
Select all values that are a solution to the inequality.

💡Plug in each value and identify which make the inequality true💡

a)

x=-3

b)

x=-2

c)

x=-1

d)

x=0

e)

x=1

38.

I.38

Which graph represents the solution to:
$5+8x<3\left(2x+4\right)$

a)

b)

c)

d)

39.

I.39

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

40.

I.40

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

41.

I.41

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

42.

I.42

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

43.

I.43

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

44.

I.44

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

45.

I.45

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

46.

I.46

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

47.

I.47

Which of the following equations match the given graph?

a)

4x - 3y ≤ -9

b)

3x + 4y ≥ 12

c)

3x + 4y > 12

d)

4x - 3y < -9

48.

I.49

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

49.

I.50

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

50.

I.51

Which of the following inequalities matches the given graph?

a)

5x - 2y ≥ -2

b)

2x - 5y ≤ -10

c)

2x - 5y ≥ -10

d)

2x + 5y ≥ 10

51.

I.52

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

52.

I.53

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

53.

I.54

Which point is in the overlap of the shaded regions?

a)

(8,-5)

b)

(20,5)

c)

(9,10)

d)

(-7,1)

54.

I.55

Which point is a solution to both inequalities?

a)

(-10,-5)

b)

(-20,25)

c)

(40,30)

d)

(40,-10)

55.

I.56

Which point is in the overlap (solution) of the shaded region?

a)

(5,0)

b)

(-1,8)

c)

(1,15)

d)

(10,5)

56.

I.57

Which point is part of the solution?

a)

(4,0)

b)

(0,4)

c)

(10,5)

d)

(5,10)

57.

I.58

Pick ALL correct answers.

Which are solutions to the system?

a)

(-5,4)

b)

(-5,-2)

c)

(0,10)

d)

(5,10)

e)

(0,-5)

58.

I.59

Pick ALL correct answers.

Which point are solutions to the system of inequalities?

a)

(0,6)

b)

(6,0)

c)

(4,0)

d)

(0,4)

e)

(0,-6)

59.

I.60

The graph shows which system?

a)

$y>\frac{2}{3}x+1$

$y\le-5x+10$

b)

$y<\frac{2}{3}x+1$
$y\ge-5x+10$

c)

$y<\frac{2}{3}x+1$
$y\le-5x+10$

d)

$y>\frac{2}{3}x+1$
$y\ge-5x+10$

60.

I.61

Which system is graphed?

a)

$y>-\frac{1}{4}x-3$

$y>2x+6$

b)

$y>\frac{1}{4}x-3$
$y\le-2x+6$

c)

$y\le-2x+6$
$y<-\frac{1}{4}x-3$

d)

$y\le-2x+6$
$y>-\frac{1}{4}x-3$

61.

I.62

Which system of inequality is shown?

a)

y > -1/5x - 1/2
y ≥ -2x - 4

b)

y > -1/5x - 1/2
y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2
y ≤ -2x - 4

d)

y < -1/5x - 1/2
y ≥ -2x - 4

Level 3: Inequalities Set

Total questions: 61

Worksheet time: 4hrs 2mins

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