Free Printable Topic 4: Equations and Inequalities

1.

Solve the equation:
5x = 25

a)

x = 20

b)

x = 125

c)

x = 4

d)

x = 5

2.

Mary has a gift card to buy a new Iphone. She says the card’s value is not enough to buy any of the Iphones shown. Let v be the value of the gift card. Which inequality best describes the value of the gift card?

a)

v < 599

b)

v > 599

c)

v > 399

d)

v < 399

3.

$10=z+6$

a)

4

b)

-4

c)

16

d)

1.6

4.

$18=\frac{a}{2}$

a)

20

b)

36

c)

9

d)

16

5.

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

a)

≤, ≥

b)

<, >

6.

$5\ \frac{3}{5}=m+\frac{7}{10}$ Find the value of x.

a)

$4\ \frac{1}{3}$

b)

$5\ \frac{3}{4}$

c)

$3\ \frac{1}{4}$

d)

$4\ \frac{9}{10}$

7.

$q-12=1$

a)

-11

b)

-13

c)

13

d)

11

8.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

9.

Solve the inequality.

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≤ 8

c)

x ≥ 18

d)

x ≤ 18

10.

$\frac{r}{3}=7$

a)

4

b)

-21

c)

10

d)

21

11.

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

a)

Left

b)

Right

12.

a)

A

b)

B

c)

C

d)

D

13.

$t-19=2$

a)

17

b)

-21

c)

-17

d)

21

14.

The graph shows the inequality y > 0.3. Select all the possible values of y.

a)

4.0

b)

0.9

c)

0.01

d)

0.1

e)

0.5

15.

What equation matches 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)

Answer not Given

16.

Name three solutions of the following inequality. Choose all that apply

y ≥ 120

a)

121

b)

118

c)

122

d)

1

e)

120

17.

$24=4c$

a)

6

b)

28

c)

-6

d)

20

18.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

19.

Complete the inequality with the correct symbol.

The distance of the run, r is farther than 3.5 kilometers

r _ 3.5

a)

<

b)

≤

c)

>

d)

≥

20.

$\frac{v}{5}=9$

a)

-5

b)

45

c)

14

d)

5

21.

Solve the equation:
2w=58

a)

w = 29

b)

w = 32

c)

w = 15

d)

w = 116

22.

$8y=48$

a)

56

b)

6

c)

40

d)

384

23.

$x+\frac{1}{6}=\frac{5}{6}$

a)

$\frac{2}{3}$

b)

1

c)

$\frac{1}{3}$

d)

$\frac{5}{6}$

24.

Solve the equation:
x/3 = 4

a)

x = 12

b)

x = 1

c)

x = 16

d)

x = 3

25.

Pick the correct inequality.

x<6

a)

A

b)

B

c)

C

d)

D

26.

Which choice models this situation?

Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

27.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

28.

Solve for x:

a)

20

b)

7

c)

10

d)

3

29.

Which choice models this situation? William needs to sell 25 Husky Cards for a fundraiser by Friday. So far, he has sold 9 cards. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

30.

n - 4 = 12

a)

n = 16

b)

n = 8

c)

n = 4/12

d)

n = 12/4

31.

Which choice models this situation?

Maddi participated in a read-a-thon. Mrs. Dunnmeyer pledged $4 for each book read. When it ended, she gave Maddi a total of $44. How many books did Maddi read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

32.

Which inequality is graphed on the number line? Use t as the variable.

(a)

33.

Solve the following equation

2y = 18

a)

y = 36

b)

y = 16

c)

y = 9

d)

y = 20

34.

$x-\frac{1}{4}=\frac{3}{4}$

a)

$\frac{1}{2}$

b)

$\frac{1}{4}$

c)

1

35.

13 + y = 20

a)

y = 13

b)

y = 33

c)

y = 7

d)

y = 20/13

36.

$x+6\ \frac{2}{3}=11$

a)

$4\ \frac{1}{3}$

b)

$3\ \frac{1}{4}$

c)

$5\ \frac{3}{4}$

d)

$4\ \frac{9}{10}$

37.

x - 10 = 20

a)

x = 20/10

b)

x = 20

c)

x = 10

d)

x = 30

38.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

39.

6 y = 42

a)

y = 7

b)

y = 6

c)

y = 36

d)

y = 48

40.

In order to win a food eating contest, a person must eat at least 8 cheeseburgers. Write the inequality that matches the situation.

Use x as a variable.

41.

$x+5\ \frac{3}{5}=14$

a)

$7\ \frac{5}{9}$

b)

$5\ \frac{7}{12}$

c)

$4\ \frac{1}{10}$

d)

$8\ \frac{2}{5}$

42.

y/3 = 8

a)

y = 3/8

b)

y = 8/3

c)

y = 24

d)

y = 83

43.

1/2 n = 10

a)

n = 10

b)

n = 5

c)

n = 20

d)

n = 12

44.

Solve the equation.

x - 17.3 = 50

a)

x = -32.7

b)

x = 32.7

c)

x = 22.3

d)

x = 67.3

45.

Solve: $\frac{3}{4}v=5$

a)

$v=\frac{20}{3}$

b)

$v=\frac{15}{4}$

c)

$v=\frac{1}{2}$

d)

$v=\frac{12}{5}$

46.

$11=m-4$

a)

15

b)

7

c)

-15

d)

-7

47.

5 n = 30

a)

n = 150

b)

n = 25

c)

n = 5

d)

n = 6

48.

a)

A

b)

B

c)

C

d)

D

49.

What is the first step to solve this equation?

x - 17.3 = 50

a)

Subtract 17.3 on both sides of the equal sign

b)

Add 17.3 to one side of the equal sign

c)

Add 17.3 to both sides of the equal sign

d)

Subtract 17.3 on one side of the equal sign

50.

Solve:

20=\frac{1}{5}n

a)

100

b)

50

c)

4

d)

2

51.

The maximum weight, w, an bridge can hold is 2,200 pounds.

a)

w ≥ 2,200

b)

w > 2,200

c)

w ≤ 2,200

d)

w < 2,200

52.

Solve the equation.

8 + y = 15.12

a)

y = 15.04

b)

y = 23.12

c)

y = 7.12

d)

y = 7.88

53.

Solve:

\frac{1}{3}x=6

a)

2

b)

18

c)

1/2

d)

60

54.

The record for the most cupcakes sold for the school fundraiser is 593. Let c be the number of cupcakes sold. Which inequality represents a number that would beat the school record

a)

c = 593

b)

c > 593

c)

c < 593

d)

593 < c

55.

Solve the following inequality:s + 1 ≥ -5

a)

s ≥ -6

b)

s < -6

c)

s ≥ - 4

d)

s ≤ -4

56.

Choose the graph that shows the inequality z > 4.3.

a)

b)

c)

d)

57.

$1+s=3$

a)

-4

b)

2

c)

4

d)

-2

58.

To solve the equation below, what should you multiply both sides by?

\frac{4}{5}m=\frac{1}{2}

a)

$\frac{5}{4}$

b)

$\frac{4}{5}$

c)

$\frac{1}{2}$

d)

$\frac{2}{1}$

59.

Solve: $b\div7\ =\ 1.8$

a)

b = 12.6

b)

b = 1.26

c)

b = .27

d)

No correct answer

60.

Solve the inequality x – 6 > 2. Graph the solution set on a number line.

a)

b)

61.

Find the value of x. $2\ \frac{1}{4}=x-3\ \frac{1}{2}$

a)

$3\ \frac{1}{4}$

b)

$5\ \frac{3}{4}$

c)

$4\ \frac{1}{3}$

d)

$4\ \frac{9}{10}$

62.

$6\ \frac{1}{6}=m+\frac{7}{12}$

a)

$8\ \frac{2}{5}$

b)

$7\ \frac{5}{9}$

c)

$5\ \frac{7}{12}$

d)

$4\ \frac{1}{10}$

63.

Match the graph with its inequality.

a)

11 < a

b)

11 ≤ a

c)

11 ≥ a

d)

11 > a

64.

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

a)

<, >

b)

≤, ≥

65.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

66.

The number of students, s, who know how to ride in a bike is less than 10.

a)

s < 10

b)

s > 10

c)

s ≥ 10

d)

s ≤ 10

67.

Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

68.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

69.

4y – 5
y = 6

a)

12

b)

13

c)

19

d)

34

70.

$w-\frac{1}{2}=2\ \frac{3}{4}$ Find the value of x.

a)

$4\ \frac{1}{3}$

b)

$5\ \frac{3}{4}$

c)

$4\ \frac{9}{10}$

d)

$3\ \frac{1}{4}$

71.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

72.

$w-\frac{4}{5}=3\ \frac{3}{10}$

a)

$8\ \frac{2}{5}$

b)

$7\ \frac{5}{9}$

c)

$5\ \frac{7}{12}$

d)

$4\ \frac{1}{10}$

73.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

74.

Determine whether the value makes the inequality true. Choose true or false

x + 8 ≥ 13

x = 1

a)

TRUE

b)

FALSE

75.

Determine whether the value makes the inequality true. Choose true or false

x + 14 ≥ 50

x = 5

a)

TRUE

b)

FALSE

76.

Solve x + 5 ≤ 19. Graph the solution set on a number line

a)

b)

77.

a)

A

b)

B

c)

C

d)

D

78.

2 + n ≤ 4½

a)

n ≥ 2½

b)

n ≤ 2½

c)

n ≤ 6½

d)

n ≥ 6½

79.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

80.

6h + 30; Solve if h = 6

a)

36

b)

66

c)

96

d)

60

81.

$3\ \frac{2}{9}=x-4\ \frac{1}{3}$

a)

$8\ \frac{2}{5}$

b)

$7\ \frac{5}{9}$

c)

$5\ \frac{7}{12}$

d)

$4\ \frac{1}{10}$

82.

8x ≤ 48

a)

x < -6

b)

x > -6

c)

x ≤ 6

d)

x ≥ 6

83.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 >= 2

84.

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

85.

The product of x and 7 is not greater than 10

a)

7x >10

b)

7x ≤ 10

c)

7 + x < 10

d)

⁷ / _x < 10

86.

Which inequality is represented on the graph? Use x as the variable.

(a)

Topic 4: Equations and Inequalities

Total questions: 86

Worksheet time: 22hrs 30mins

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