Free Printable Final Math Exam- 2022/2023

1.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

2.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

3.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

4.

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

5.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

6.

Find the value (standard form) of the power.
3³

a)

9

b)

6

c)

27

d)

12

7.

4⁰

a)

0

b)

1

c)

4

d)

-4

8.

Which expression is equivalent to 3⁴?

a)

3+3+3+3

b)

4+4+4

c)

4x4x4

d)

3x3x3x3

9.

7⁰ is equivalent to:

a)

7

b)

0

c)

1

d)

1/7

10.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

11.

8⁴Which number is the base of this expression?

a)

8

b)

4

c)

There is not base. Who needs a base?

12.

In an equation, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

d)

to sing and dance

13.

The inverse operation of addition is _______________.

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

14.

Solve for x.

x + 12 = 20

a)

x = 8

b)

x = -32

c)

x = 32

d)

x = -8

15.

What is the value of V?

V + 23 = 45

a)

V = 68

b)

V = 22

c)

V = -22

d)

Not Here

16.

Solve for x.

x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

17.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

18.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

19.

x + 12 = -15

a)

x = 3

b)

x = 27

c)

x = -27

d)

x = -3

20.

What is the inverse operation needed to solve the following problem?
x/3 = 5

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

21.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

22.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

23.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

24.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

25.

m+13=21

a)

m=34

b)

m=8

c)

m=273

d)

m=6

26.

Solve for y:
y - 7 = 10

a)

17

b)

-3

c)

3

d)

-17

27.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

28.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

29.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

30.

Solve

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

31.

Solve

2m > 8

a)

m < 4

b)

m > 4

c)

m < - 4

d)

m > - 4

32.

Solve

5x ≥ 15

a)

x > 3

b)

x < 3

c)

x ≥ 3

d)

x ≤ 3

33.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

34.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

35.

Solve the following equation
2y = 18

a)

36

b)

16

c)

9

d)

20

36.

Solve the following equation
18 = 3b

a)

15

b)

6

c)

21

d)

54

37.

Solve the following equation
14m = 28

a)

2

b)

14

c)

32

d)

1/2

38.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

39.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

40.

How would you solve this inequality?
m - 9 ≤ 20

a)

By adding 20 to both sides

b)

By subtracting 9 to both sides

c)

By adding 9 to both sides

d)

By subtracting 20 to both sides

41.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

42.

What is the solution to x + 4 = 10?

a)

14

b)

6

c)

-4

d)

-6

43.

What is the solution to x - 4 = 10?

a)

14

b)

6

c)

-4

d)

-6

44.

What is the solution to 4x = 20?

a)

80

b)

16

c)

5

d)

24

45.

What is the solution to x/4 = 20?

a)

80

b)

16

c)

5

d)

24

46.

-5 + 9 = ?

a)

-4

b)

4

c)

-14

d)

14

47.

2 + (-8) = ?

a)

6

b)

10

c)

-16

d)

-6

48.

-1 + -9 = ?

a)

-10

b)

10

c)

9

d)

-8

49.

7 + (-3) = ?

a)

-4

b)

4

c)

10

d)

-10

50.

-2 + 9

a)

-11

b)

-7

c)

7

d)

11

Final Math Exam- 2022/2023

Total questions: 50

Worksheet time: 3hrs 30mins

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