Free Printable Equations/Inequalities/Compound Inequalities

1.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

2.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

3.

Write an equation that 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

4.

Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

5.

What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

6.

Solve the equation

a)

A

b)

B

c)

C

d)

D

7.

Solve the equation

a)

A

b)

B

c)

C

d)

D

8.

3(s+2)-s=38

a)

s=3

b)

s=38

c)

s=16

d)

s=1

9.

What is the inverse operation you would use to solve:
6x = 36

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

10.

Laney pays $0.99 for each song she downloads from the Internet and $9.99 a month for the service. In total, she paid $34.74 for songs last month. How many songs did Laney download?

a)

20 songs

b)

25 songs

c)

30 songs

d)

35 songs

11.

When solving 234 + N =389, what operation would you use to ISOLATE the variable?

a)

multiplication

b)

addition

c)

subtraction

d)

division

12.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

13.

What is the SECOND STEP in solving the following equation?

-3x + 5 = 20

a)

Subtract 5 from both sides

b)

Divide both sides by -3

c)

Divide both sides by 3

d)

add 3x to both sides

14.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < 0

d)

x < -1

15.

$-5\left(v+3\right)+33\ge5\left(4-v\right)$

a)

$n\le2$

b)

$n\ge2$

c)

No solution

d)

All real numbers

16.

$-3-6\left(4x+6\right)>-111$

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

17.

-138 ≥ -6(6b − 7)

a)

b ≤ 5

b)

b ≤ -5

c)

b ≥ 5

d)

b ≥ -5

18.

$2\left(5v+7\right)<10v+17$

a)

v < -3

b)

v < 3

c)

No solution

d)

All real numbers

19.

-2(5 + 6n) < 6(8 − 2n)

a)

No solution

b)

All real numbers

c)

x < 0

d)

x > 0

20.

Rafael will spend AT MOST $37 on gifts. So far, he has spend $21. What are the possible additional amounts he will spend?

Use c for the additional amount (in dollars) Rafael will spend.

Write your answer as an inequality SOLVED for c.

a)

$c<16$

b)

$c>16$

c)

$c\le16$

d)

$c\ge16$

21.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

22.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

23.

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

a)

2 hours

b)

3 hours

c)

4 hours

d)

5 hours

24.

Joaquin has a $50 gift card from Pizza Palace. All pizzas at Pizza Palace cost $7 each. Joaquin wants to give the driver a $5 tip for delivering the pizza. Which inequality could be used to determine the possible number of pizzas, p, he could order with his gift card, including the tip?

a)

7p + 5 ≤ 50

b)

(7 + 5)p ≤50

c)

7p + 5 ≥ 50

d)

7p + 5 < 50

25.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

a)

1500 + 8t = 12

b)

12 + 8t = 1500

c)

1500 + 8t = 12t

d)

8t = 12t + 1500

26.

Which of the following is the solution to the graph above?

a)

$-2\le x<6$

b)

$x<-2\ \ \ OR\ \ \ x\ge6$

c)

$x\le-2\ \ \ OR\ \ \ x>6$

d)

$-2<x\le6$

27.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

28.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

29.

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

a)

<, >

b)

≤, ≥

30.

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

a)

≤, ≥

b)

<, >

31.

Solve.

a)

x ≤ 14

b)

x < 14

c)

x ≥ 14

d)

x = 14

32.

Solve.

a)

x > -28

b)

x > 28

c)

x > -14

d)

x > 14

33.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

34.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

35.

Solve.

a)

x ≥ 4

b)

x ≥ -4

c)

x = 4

d)

x < 4

36.

Which of the following symbols means "more than"?

a)

>

b)

<

c)

≤

d)

≥

37.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

38.

If Mr. Estes has at least 20 students in his 3rd period class, which inequality represents this situation?

a)

x ≥ 20

b)

x > 20

c)

x ≤ 20

d)

x = 20

39.

Mrs. Stephens wants at most 2 students in her office at one time. Which answer choice portrays this situation?

a)

x ≠ 2

b)

x < 2

c)

x ≤ 2

d)

x = 2

40.

What are two solutions to x < 8?

a)

8.1, 7.9

b)

11, 16

c)

4, 7.9

d)

3, 8

41.

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

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

42.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

43.

"At most" and "No more than" are both clue words for...

a)

<

b)

>

c)

≤

d)

≥

44.

Translate the sentence into an inequality. Use b for the unknown number.

Nine times the sum of a number and 8 is less than 4.

a)

$9b+8<4$

b)

$9\left(b+8\right)<4$

c)

$9\left(b+8\right)>4$

d)

$9b+4<8$

45.

You flip an inequality symbol when you...

a)

subtract a constant

b)

multiply and divide by a coefficient

c)

add a variable to both sides of an equation

d)

multiple or divide by a negative coefficient

46.

For each expression, select all equivalent expressions from the list.

32y-20

a)

$4\left(8y-5\right)$

b)

$4\left(8y-20\right)$

c)

$4\times8y\ -\ 4\times5$

d)

$12y$

47.

If s ≤ 35, which is NOT a solution of the inequality?

a)

25

b)

35

c)

42

d)

30

48.

Today's temperature will be at least -4 degrees.

a)

t < -4

b)

t > -4

c)

t ≤ -4

d)

t ≥ -4

49.

My sister plans to sell more than 250 boxes of cookies.

a)

c>250

b)

c<250

c)

c≤250

d)

c≥250

50.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

51.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

52.

11x + 16 < 43 + 2x

a)

x ≥ 5

b)

x < 3

c)

x > 5

d)

x ≤ 3

53.

Solve:

287 ≤ 7(1 + 5p)

a)

p ≤ 8

b)

p ≥ 8

c)

p ≤ 56

d)

p ≥ 56

54.

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

a)

v < 5

b)

V > 5

c)

V > -5

d)

v < -5

55.

Which is the solution of

-2(2 + 3m) > -9m + 8?

a)

m < -4

b)

m > 4

c)

m < 15

d)

m > 36

56.

x + 8 < 3 or -8x < - 40

a)

x > - 5 or x < 5

b)

x < - 5 and x > 5

c)

x < - 5 or x > 5

d)

x > - 5 and x < 5

57.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

58.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

59.

Which of the following is a solution to the inequality

6 < x + 5 ≤ 11?

a)

1

b)

7

c)

3

d)

6.5

60.

SOLVE the inequality:

-6 < -3x + 9 < 21?

a)

$5<x<-4$

b)

$5>x>-4$

c)

$-5>x>4$

d)

$-5<x<4$

61.

SOLVE the compound inequality:

4x + 9 < - 23 OR -2x + 8 < 14 ?

a)

x < -8 OR x > -3

b)

x < 8 OR x > -3

c)

x < -8 OR x > 3

d)

x< 8 OR x > 3

62.

Solve: -3(2x + 1) - 5 ≤ 2 ( -3x - 4)

a)

No solution

b)

All real numbers

c)

x ≤ -8

d)

x ≤ 0

63.

Dante buys candy that costs $7 per pound. He will spend AT LEAST $56 on candy. What are the possible numbers of pounds he will buy?

Use p for the number of pounds Dante will buy.

Write your answer as an inequality SOLVED for p.

a)

$p>8$

b)

$p\le8$

c)

$p\ge8$

d)

$p<8$

64.

Who is Mrs. Tovar's favorite Disney character :)

a)

Moana

b)

Minnie Mouse

c)

Tinkerbell

d)

Goofy

Equations/Inequalities/Compound Inequalities

Total questions: 64

Worksheet time: 2hrs 32mins

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