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Worksheets

Expressions, Equations, and Inequalities

Total questions: 50

Worksheet time: 8hrs 20mins

Name
Class
Date
1.

Given that 3x + 2 = 4 and 2y + 6 = 5, what is x + y ?

a)

-1/2

b)

1/6

c)

2/3

d)

7/6

e)

15/2

2.

What is the solution statement for the inequality?

a)
b)
c)
d)
e)
3.
a)

A

b)

B

c)

C

d)

D

e)

E

4.
a)
b)
c)

No Solution

d)

All Real Numbers

5.
a)
b)
c)

No Solution

d)

All Real Numbers

6.
a)
b)
c)
d)
7.
a)

A

b)

B

c)

C

d)

D

e)

E

8.
a)
b)
c)
d)
9.
a)

12 11/18

b)

12 1/18

c)

11 12/18

d)

11 1/8

10.
a)

2 23/32

b)

2 32/111

c)

2 23/111

d)

2 3/23

11.
a)

1/6

b)

1/16

c)

6

d)

1/60

12.

5 + 4(6-2)²÷ (3-1)² - 7

a)

41

b)

15

c)

18

d)

14

13.
a)

27

b)

26

c)

25

d)

24

14.
a)

6/80

b)

67/80

c)

76/80

d)

7/80

15.

Convert decimal to a percent and fraction:

0.072

a)

72%, 9/125

b)

7.2%, 9/125

c)

72%, 18/25

d)

7.2%, 18/25

16.
a)

F

b)

G

c)

H

d)

J

e)

K

17.
a)

A

b)

B

c)

C

d)

D

e)

E

18.
a)

A

b)

B

c)

C

d)

D

e)

E

19.

Classify the number: 18

a)

Natural Number

b)

Whole Number

c)

Integer

d)

Rational Number

e)

Complex Number

20.
a)

32

b)

23

c)

-32

d)

-23

21.

Marianna wants to buy a new tennis racket that costs $57.50. She has $8 and plans to save $4.50 each week. How many weeks will it take her to save the money?

a)

24

b)

11

c)

10

d)

15

22.
a)

Length: 10 ft

Width: 10 ft

b)

Length: 10 ft

Width: 12 ft

c)

Length: 8 ft

Width: 12 ft

d)

Length: 12 ft

Width: 8 ft

23.

Mobile plan charges $39.99 per month with additional minutes costing $0.45 each. Verizons plan costs $44.99 with additional minutes at $0.40 each. How many additional minutes, a, will it take for the two plans to cost the same?

a)

5

b)

50

c)

100

d)

10

24.
a)

-7

b)

7

c)

No Solution

d)

Infinitely Many Solutions

25.
a)

0

b)

-36

c)

No Solution

d)

Infinitely Many Solutions

26.
a)

33.32

b)

30.33

c)

31.33

d)

32.33

27.
a)

A

b)

B

c)

C

d)

D

e)

E

28.
a)

A

b)

B

c)

C

d)

D

e)

E

29.
a)

20%

b)

2%

c)

25%

d)

12%

e)

10%

30.
a)

A

b)

B

c)

C

d)

D

e)

E

31.
a)

F

b)

G

c)

H

d)

J

e)

K

32.
a)

F

b)

G

c)

H

d)

J

e)

K

33.
a)

A

b)

B

c)

C

d)

D

e)

E

34.
a)

F

b)

G

c)

H

d)

J

e)

K

35.
a)

A

b)

B

c)

C

d)

D

e)

E

36.
a)

F

b)

G

c)

H

d)

J

e)

K

37.
a)

3x + 18y + 10

b)

18x + 10y + 3

c)

10x +3y +18

d)

10x + 18y + 3

38.

Simplify the expression

a)

4x²y³ + 6x³ - 15

b)

6x²y³ + 4x³ - 15

c)

4x²y³ + 15x³ + 4

d)

6x²y³ - 4x³ + 4

39.

Identify the coefficients, constants, and like terms:

23xyz - 6x + x - 9 + 1

a)

Coefficients: 23, -6, 1

Constants: -9, 1

Like Terms: -6x and x, -9 and 1

b)

Coefficients: 23, -6

Constants: 1

Like Terms: -6x and 1

c)

Coefficients: 23, -6, 1

Constants: -9, 1

Like Terms: -9 and 1

d)

Coefficients: 23, -6, 1

Constants: -9, 1

Like Terms: -6x and x

40.

Solve for n

a)
b)
c)
d)
41.
a)

F

b)

G

c)

H

d)

J

e)

K

42.

Solve for x

a)

x = -2, x = 12/5

b)

x = 1, x = 1/3

c)

x = -3, x = 1/2

d)

No Solution

43.

Solve for x

a)

x = -3/4

b)

x = 0, x = 3/4

c)

x = 3, x = 4

d)

x = 3/4

44.
a)

F

b)

G

c)

H

d)

J

e)

K

45.
a)

A

b)

B

c)

C

d)

D

e)

E

46.
a)

49.35 × 10²

b)

493.5 × 10¹

c)

0.4935 × 10⁴

d)

4.935 × 10³

47.

Solve each equation

a)

x = 14/15, y = 729

b)

x = 14/15 or x = -14/15, y = 729

c)

x = 15/14, y = 729 or y = -729

d)

x = 15/14 or x = -15/14, y= 729

48.

Translate: four less than the product of a number and 7 is eight more than that number.

a)

7x - 4 = x - 8

b)

4 - 7x = x - 8

c)

4 - 7x = x + 8

d)

7x - 4 = x + 8

49.
a)

A

b)

B

c)

C

d)

D

e)

E

50.
a)

F

b)

G

c)

H

d)

J

e)

K