Free Printable Two Step Inequalities

1.

Match each phrase with the correct symbol.

a)

$>$

1.

greater than

b)

$\ge$

2.

greater than or equal to

c)

$\le$

3.

less than or equal to

d)

$<$

4.

less than

e)

$\ne$

5.

not equal to

2.

When graphing inequalities:

Use an open circle for (a) .

Use a closed circle for (b) .

Choose from the below words

> or <

≥ or ≤

3.

Match each statement with the correct graph.

a)

1.

y < 6

b)

2.

y > 6

c)

3.

y ≤ 6

d)

4.

y ≥ 6

4.

When solving inequalities, if you multiply or (a) both sides by a (b) number, you must (c) the (d) symbol.

Choose from the below words

divide

negative

flip

inequality

add

positive

equal

5.

Solve.

$3n+3\ge30$

a)

$n\le9$

b)

$n\ge9$

c)

$n\le11$

d)

$n\ge11$

6.

Solve.

$-8x+7<15$

a)

$x>1$

b)

$x<1$

c)

$x>-1$

d)

$x<-1$

7.

Solve.

$17\le-2m-3$

a)

$-10\ge m$

b)

$-10\le m$

c)

$-7\ge m$

d)

$-7\le m$

8.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

9.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

10.

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

a)

Open

b)

closed

11.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

12.

Solve and graph the inequality.
-169 ≤ 8m - 9

a)

A

b)

B

c)

C

d)

D

13.

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

a)

A

b)

B

c)

C

d)

D

14.

Which number line shows the solution to:
11x + 14 < –8?

a)

a

b)

b

c)

c

d)

d

15.

Choose the correct graph that best describes the solution for each inequality
5 + x ≥ 29

a)

a

b)

b

c)

c

d)

d

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

19.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

20.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

21.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

22.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

A variable is represented as a....

a)

Number

b)

Letter

26.

What does inequality mean?

a)

equal

b)

not equal

27.

TRUE or FALSE: Inequalities contain equal signs.

a)

TRUE

b)

FASLE

28.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

29.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

30.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

31.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

32.

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

a)

A

b)

B

c)

C

d)

D

33.

Which symbol means "greater than or equal to"?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

34.

Solve for x.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

35.

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

a)

<, >

b)

≤, ≥

36.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

37.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

38.

When graphing $b<6$ , would you use an open circle or a filled-in/closed dot?

a)

open circle

b)

filled-in/closed dot

39.

When graphing $d\ge12$ , would you use an open circle or a filled-in/closed dot?

a)

open circle

b)

filled-in/closed dot

40.

Solve the following inequality. Show your algebraic work!

a)

m > -2

b)

m > 6

c)

m < 5

d)

m < 3

41.

Find the solution to...

-48 < 12c

a)

-4 < c

b)

-4 > c

c)

c < -4

d)

4 < c

42.

a)

145

b)

165

c)

180

d)

190

43.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

44.

True or False:

10 + 3k < 22

Answers in the solution set will be negative

a)

True

b)

False

45.

Which graph matches the inequality $-5x\ge-15$ ?

a)

b)

c)

d)

46.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

47.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

48.

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

a)

Open

b)

closed

49.

22 < 6c + 4

a)

11 > c

b)

3 > c

c)

11 < c

d)

3 < c

50.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

51.

Choose the correct graph that best describes the solution for each inequality x + 5 ≥ 29

a)

a

b)

b

c)

c

d)

d

Two Step Inequalities

Total questions: 51

Worksheet time: 4hrs 15mins

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