Free Printable Algebra 2 Semester Exam 2021

1.

20 x 2 - (10 - 4)

a)

22

b)

30

c)

34

2.

(2 x 5) + 18

a)

48

b)

20

c)

28

3.

What does the E in PEMDAS stand for?

a)

Exceptional

b)

Egg

c)

Exponent

4.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

5.

Which operation is performed SECOND?
(13 - 1) + 4

a)

addition +

b)

subtraction -

c)

multiplication X

6.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

7.

What is the FIRST step when solving an algebraic equation?

a)

Divide by a random number

b)

Guess

c)

Isolate the variable

d)

Balance the equation

8.

What is the difference between an equation and an expression?

a)

There isn't, they are the same

b)

One has letters and one doesn't

c)

Equations have an equals sign, expressions don't

9.

-5y + 8
The coefficient of the variable is

a)

y

b)

8

c)

-5

d)

2

10.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

11.

What do we call a letter in math that represents an unknown number?

a)

Coefficient

b)

Variable

c)

Term

d)

Expression

12.

What do we call a number sentence that has an equal sign?

a)

Expression

b)

Solved

c)

Equation

d)

Algebraic

13.

What is the inverse of addition?

(hint: opposite)

a)

multiplication

b)

division

c)

subtraction

14.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

15.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

16.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

17.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

18.

How many terms does this expression have?
3x + 5y - 17 - 2y + x

a)

3

b)

-17

c)

5

d)

1

19.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

20.

13⁰

a)

1

b)

2

c)

3

d)

4

21.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

22.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

23.

What is the leading coefficient in the polynomial 3x²-2x+5?

a)

3

b)

2

c)

5

d)

0

24.

What is the correct name of the following:
3xy + 4x + 5y + 6

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

25.

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

26.

Classify by the DEGREE:
2x² - 5

a)

Degree of 1

b)

Degree of 2

c)

Degree of 3

d)

Degree of 4

27.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y³and x³

c)

y and x

d)

-3x and 3x

28.

Add or Subtract to Simplify:

(4x²+ x) - (x² -2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

29.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

30.

Which number is a factor of 6?

a)

12

b)

2

c)

8

d)

10

31.

Which set of numbers show all the factors for 15?

a)

7, 8

b)

1, 15

c)

1, 3, 5, 15

d)

3, 5, 15

32.

Which choice lists all the factors for the number 24?

a)

2, 3, 4, 6, 8, 12, 24

b)

2, 3, 4, 6, 8, 12, 24, 36

c)

1, 2, 3, 4, 6, 8, 12, 24

d)

1, 2, 4, 5, 6, 8, 12 ,24

33.

Factor of 40

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

34.

What is the GCF of 8 and 10?

a)

1

b)

3

c)

4

d)

2

35.

Find the greatest common factor of 20 and 30

a)

2

b)

5

c)

10

d)

15

36.

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.

37.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

38.

What is the inverse operation of multiplication?

a)

Addition

b)

Subtraction

c)

Division

39.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

40.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

41.

24 = 4c

a)

c = 48

b)

c = 20

c)

c = 8

d)

c = 6

42.

8y = 48

a)

y = 8

b)

y = 6

c)

y = 40

d)

y = 56

43.

What is a 1-step problem?

a)

A problem where multiple operations are present.

b)

A problem where the variable is missing.

c)

An equation where only one step is needed to solve it.

d)

An equation where two steps are needed to solve it.

44.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

45.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

46.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

47.

12(3 + 4) =

a)

36 + 48

b)

15 + 16

c)

123 + 124

d)

0.84

48.

8(3 + 4) =

a)

24 + 32

b)

11 + 12

c)

123 + 124

d)

5 + 4

49.

-4(8r + 3)

a)

-32r - 12

b)

32r - 12

c)

-32r + 12

d)

32r + 12

50.

Factor Completely:

x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

51.

Factor the Trinomial:

x² - 17x + 72

a)

(x - 9)(x + 8)

b)

(x - 9)(x - 8)

c)

x(x - 3)

d)

(x + 9)(x + 8)

52.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

53.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

54.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

55.

X²can be combined with X

a)

True

b)

False

56.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

57.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

58.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

59.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

60.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

61.

When the following inequality is graphed, what will it look like?

2 > f

a)

open circle

b)

closed circle

62.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

a)

9

b)

5

c)

3

d)

7

63.

Find the mean:
28, 18, 19, 18, 17

a)

20

b)

18

c)

11

d)

19

64.

What is another word for AVERAGE?

a)

Mode

b)

Median

c)

Mean

d)

Not nice

65.

What is the range in a set of data?

a)

average

b)

biggest minus smallest

c)

the middle number

d)

the number happening the most

Algebra 2 Semester Exam 2021

Total questions: 65

Worksheet time: 3hrs 59mins

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