Free Printable Inequalities Review

1.

When graphing an inequality, you use an open dot when you use which symbol?

a)

$<,>$

b)

$\le,\ge$

2.

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

a)

$\le,\ge$

b)

$<,>$

3.

Greater than

a)

$<$

b)

$>$

c)

$\ge$

d)

$\le$

4.

Less than:

a)

$\ge$

b)

$\le$

c)

$<$

d)

$>$

5.

Less than or equal to:

a)

$\le$

b)

$<$

c)

$>$

d)

$\ge$

6.

Greater than or equal to:

a)

$<$

b)

$\le$

c)

$\ge$

d)

$>$

7.

Will my circle be colored in? $5\ge x$

a)

Yes

b)

No

8.

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

a)

Open

b)

closed

9.

Which compound inequality is graphed above?

a)

$x\ge-2$

$x\le2$

b)

$x\le-2$

$x\ge2$

c)

$x>2$

$x<-2$

d)

$x<-2$

$x>2$

10.

Which compound inequality is graphed above?

a)

$x>-2$

$x\le2$

b)

$x<-2$

$x\le2$

c)

$x>-2$

$x<2$

d)

$x\le-2$

$x<2$

11.

Which compound inequality is graphed above?

a)

$x<0$

$x>5$

b)

$x>0$

$x>5$

c)

$x\ge0$

$x\ge5$

d)

$x\le0$

$x\ge5$

12.

Which compound inequality is graphed above?

a)

$x\le-2$

$x>5$

b)

$x>-2$

$x>5$

c)

$x\ge-2$

$x<5$

d)

$x<-2$

$x\ge5$

13.

Which compound inequality is graphed above?

a)

$x<3$

$x\ge6$

b)

$x>3$

$x<6$

c)

$x\ge3$

$x\le6$

d)

$x<3$

$x\le6$

14.

a)

$x>-3$

$x>1$

b)

$x<-3$

$x<1$

c)

$x\ge3$

$x\le1$

d)

$x>-3$

$x<1$

15.

a)

$x\le3$

$x>-2$

b)

$x<-2$

$x\ge3$

c)

$x>-2$

$x<3$

d)

$x<3$

$x\ge-2$

16.

a)

$x<0$

$x\ge2$

b)

$x<0$

$x>2$

c)

$x\le0$

$x\ge2$

d)

$x\le0$

$x>2$

17.

What inequality is graphed?

a)

$x>2$

$x\le4$

b)

$x\ge2$

$x\le4$

c)

$x>2$

$x<4$

d)

$x>2$

$x\le4$

18.

What inequality is graphed?

a)

$x>2$

$x\le3$

b)

$x>2$

$x<3$

c)

$x>2$

$x\le-3$

d)

$x>2$

$x<-3$

19.

What inequality is shown?

a)

$x\ge-5$

$x<4$

b)

$x\le-5$

$x>4$

c)

$x\ge-5$

$x<4$

d)

$x\le-5$

$x<4$

20.

What inequality is shown?

a)

$x\ge0$

$x>5$

b)

$x\ge0$

$x\le5$

c)

$x\ge0$

$x<5$

d)

$x\le0$

$x>5$

21.

Match the number line

to the inequality.

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

22.

Match the number line

to the inequality.

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

23.

Match the number line

to the inequality.

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

24.

Match the number line

to the inequality.

a)

$x>2$

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

25.

Match the number line

to the inequality.

a)

$x>-3$

b)

$x<-3$

c)

$x\ge-3$

d)

$x\le-3$

26.

Match the number line

to the inequality.

a)

$x>-3$

b)

$x<-3$

c)

$x\ge-3$

d)

$x\le-3$

27.

Match the number line

to the inequality.

a)

$x>-3$

b)

$x<-3$

c)

$x\ge-3$

d)

$x\le-3$

28.

Match the number line

to the inequality.

a)

$x>-3$

b)

$x<-3$

c)

$x\ge-3$

d)

$x\le-3$

29.

Which graph matches the inequality $k<3$ ?

a)

A

b)

B

c)

C

d)

D

30.

Which graph matches the inequality $r≥-6$ ?

a)

A

b)

B

c)

C

d)

D

31.

Solve the inequality: $x+5≤13$

a)

$x≥8$

b)

$x≥18$

c)

$x≤8$

d)

$x≤18$

32.

Choose the correct expression that represents "7 is less than a number"

a)

$x>7$

b)

$x<7$

c)

$x≤7$

d)

$x≥7$

33.

Describe the graph for the solution for the following inequality: $a+13≥20$

a)

Closed circle; arrow pointing left

b)

Open circle; arrow pointing left

c)

Closed circle; arrow pointing right

d)

Open circle; arrow pointing left

34.

Solve: $-24<2x-4<-10$

a)

$-10<x<-3$

b)

$x<-3$

c)

$x>-10$

d)

$-3<x<10$

35.

Solve: $0<x+7<9$

a)

$-7<x<2$

b)

$-7>x>2$

c)

$-7<x>2$

d)

$-7>x<2$

36.

Solve: $-2(x+2)<14$

a)

$x<-5$

b)

$x>-5$

c)

$x<-9$

d)

$x>-9$

37.

What inequality is graphed?

a)

$2<x<4$

b)

$2≤x≤4$

c)

$4>x>2$

d)

$2\ge x\ge4$

38.

a)

$1<x>-3$

b)

$1>x<-3$

c)

$-3\le x\le1$

d)

$-3<x<1$

39.

Which graph represents $-2<x<3$ ?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

None

40.

Which graph represents $-2≤x≤3$ ?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

None

41.

Which graph represents $-5<x<5$ ?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

42.

What inequality is being represented?

a)

$5<x<9$

b)

$5≤x≤9$

c)

$5<x\le9$

d)

$5≤x<9$

43.

What inequality is being represented?

a)

$0≤x<3$

b)

$0<x\le3$

c)

$0<x<3$

d)

$0≤x≤3$

44.

Which inequality represents the graph?

a)

$2≥x≥4$

b)

$2≤x≤4$

c)

$2≤x≥4$

d)

$2≥x≤4$

45.

What inequality is being represented?

a)

$0≤x<3$

b)

$0<x\le3$

c)

$0<x<3$

d)

$0≤x≤3$

46.

Which inequality represents the graph?

a)

$2≥x≥4$

b)

$2≤x≤4$

c)

$2≤x≥4$

d)

$2≥x≤4$

47.

Which inequality represents the graph?

a)

$-∞<x<3$

b)

$-∞<x>3$

c)

$-∞<x≤3$

d)

$-∞<x≥3$

48.

Solve: $s-10≤1$

a)

$s≤11$

b)

$s≤9$

c)

$s≥11$

d)

$s≥9$

49.

Solve: $10≥x-3$

a)

$x≤13$

b)

$x≥13$

c)

$x≤7$

d)

$x≥7$

50.

Would your graph go to the left or right when you graph $x≥4$ ?

a)

Left

b)

Right

51.

Solve: $x+4<4$

a)

$x<0$

b)

$x>0$

c)

$x<8$

d)

$x>8$

52.

Write $x\le23$ in words

a)

$x$ is greater than 23

b)

$x$ is greater than or equal to 23

c)

$x$ is less than 23

d)

$x$ is less than or equal to 23

53.

Solve: $2<6z-10<20$

a)

$-2<z<-5$

b)

$5\ge z\ge2$

c)

$2>z>5$

d)

$2<z<5$

54.

Select all answers that apply $m+15\le12$

a)

$m\le27$

b)

$m\le-3$

c)

$\left(-\infty,-3\right)$

d)

$\left(-\infty,-3\right]$

e)

55.

$x+3>-17$

Check all that apply

a)

$x>-20$

b)

$x>-14$

c)

$\left(-20,\infty\right)$

d)

$\left[-14,\infty\right)$

e)

56.

$x+5>8$

Select all that apply

a)

$x>3$

b)

$x>13$

c)

$\left[3,\infty\right)$

d)

$\left(-\infty,3\right)$

e)

$\left(3,\infty\right)$

57.

$-\infty$ and $\infty$ are always closed with parentheses ( ) because they represent numbers that continue forever and ever.

a)

True

b)

False

58.

When solving the inequality $-9x>27$ you must flip the inequality symbol.

a)

True

b)

False

59.

When solving the inequality $9x>-27$ , you must flip the inequality symbol.

a)

True

b)

False

60.

Select all answers that are equivalent to
$2x+1<-15$

a)

b)

c)

$\left(-8,\infty\right)$

d)

$\left(-\infty,-8\right)$

e)

$\left[-\infty,\ -8\right]$

61.

Which of the following represents $2x+6\ge26$ ?

a)

b)

c)

d)

62.

Which of the following represents $5n+3\le38$ ?

a)

b)

c)

d)

63.

Express the following in Interval Notation: $-8≤x<8$

a)

$[-8,8]$

b)

$[-8,8)$

c)

$(-8,8]$

d)

$(-8,8)$

64.

Express the following in Interval Notation $-9<x≤-4$

a)

$[-9,-4]$

b)

$(-9,-4]$

c)

$[-9,-4]$

d)

$(-9,-4)$

65.

Express the following in Interval Notation $-9<x<-8.5$

a)

$[-9,-8.5]$

b)

$[-9,-8.5)$

c)

$(-9,-8.5]$

d)

$(-9,-8.5)$

66.

Express the following interval in Set notation $[3,5]$

a)

$3≤x≤5$

b)

$3<x≤5$

c)

$3≤x<5$

d)

$3<x<5$

67.

Express the following interval in Set notation $(-7,15]$

a)

$-7≤x≤15$

b)

$-7<x≤15$

c)

$-7≤x<15$

d)

$-7<x<15$

68.

Express the following interval in Set notation $\left[14.2,\ 19.6\right)$

a)

$14.2≤x≤19.6$

b)

$14.2<x≤19.6$

c)

$14.2≤x<19.6$

d)

$14.2<x<19.6$

69.

Express the following interval in Set notation $(-63,-62)$

a)

$-63≤x≤-62$

b)

$-63<x≤-62$

c)

$-63≤x<-62$

d)

$-63<x<-62$

70.

Write the following in interval notation $-7≤x<8$

a)

$(-7,8)$

b)

$[-7,8)$

c)

$[-7,8]$

d)

$(-7,8]$

71.

Write the following in interval notation $x<8$

a)

$(8,∞)$

b)

$(8,-∞)$

c)

$(-∞,8)$

d)

$[-∞,8]$

72.

Write the following in interval notation $x≥100$

a)

$(0,100]$

b)

$(∞,100]$

c)

$[100,∞)$

d)

$(∞,100)$

73.

Which graph represents $-2\le x<3$ ?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

Inequalities Review

Total questions: 73

Worksheet time: 1hrs 21mins

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