Free Printable Algebra II semester test 2025

1.

How is 100,000 as a power of 10?

a)

10^5.

b)

3.1416.

c)

Multiply the number by itself.

2.

What is the 100th term in the sequence a_n = 4n-12

a)

388

b)

40012

c)

-388

d)

100

3.

What 3 terms come next in the sequence?
2, 4, 8, 16

a)

32, 64, 128

b)

18, 20, 22

c)

24, 28, 32

d)

32, 60, 120

4.

The next two terms of the sequence 4,7,10,13 are

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

5.

The next two terms of the sequence 4,7,10,13 are ....

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

6.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

7.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

8.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

9.

Simplify the algebraic fraction.

a)

1/a

b)

8a/9

c)

9/8a

d)

9a/8

10.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

11.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

12.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

13.

a)

x²+11x+16

b)

x²+5x+24

c)

x²+11x+24

d)

2x²+11x+24

14.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

15.

a)

x²+6x-16

b)

x²+10x-16

c)

x²+6x+16

d)

x²-6x-16

16.

a)

7x²+41x+24

b)

12x²+32x+24

c)

12x²+41x+24

d)

12x²+41x+16

17.

a)

20x²-20x-20

b)

20x²-20

c)

20x²+20x-20

d)

20x²+20

18.

a)

9x²-9x-28

b)

9x²+9x-28

c)

6x²-9x-28

d)

9x²-9x-21

19.

a)

25x²+25

b)

25x²+10x-25

c)

25x²-25

d)

25x²-10x-25

20.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

solutions

d)

x-intercepts

21.

What is the corresponding factor of the solution $x=2$ ?

a)

$\left(x+2\right)$

b)

$\left(x-2\right)$

22.

What is the corresponding factor of the solution $x=-3$ ?

a)

$\left(x+3\right)$

b)

$\left(x-3\right)$

23.

What is the corresponding factor of the zero $\left(\frac{1}{2},\ 0\right)$ ?

a)

$\left(2x+1\right)$

b)

$\left(2x-1\right)$

24.

What is the corresponding factor of the root $x=-7$ ?

a)

$\left(x+7\right)$

b)

$\left(x-7\right)$

25.

What is the corresponding solution of the factor $\left(x-1\right)$ ?

a)

$x=1$

b)

$x=-1$

26.

What is the corresponding solution of the factor $\left(x+8\right)$ ?

a)

$x=8$

b)

$x=-8$

27.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

28.

What is the factored quadratic equation in the following graph?

a)

( x+ 2)(x + 6) = y

b)

x² - 8x + 12 = y

c)

(x - 2)(x - 6) = y

d)

(x - 4)(x + 4) = y

29.

Which equation matches the x-intercepts x=5,-7 ?

a)

(x+5)(x-7)=0

b)

(x-5)(x+7)=0

c)

(x+5)(x+7)=0

d)

(x-5)(x-7)=0

30.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

31.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

32.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

33.

Factor
d² - 10d + 25

a)

(d + 5) (d - 5)

b)

(d - 15) (d + 10)

c)

(d + 5) (d - 20)

d)

(d - 5) (d - 5)

34.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

35.

Factor
x² + 5x + 4

a)

(x + 4)(x + 1)

b)

(x + 2)(x + 2)

c)

(x + 4)(x - 1)

d)

(x + 5)(x + 1)

36.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

37.

Simplify:

a)

2

b)

8

c)

16

d)

32

38.

Simplify:

a)

6

b)

12

c)

36

d)

432

39.

Simplify the expression:
3^1/2 * 27^1/2

a)

9

b)

81

c)

3

d)

1/3

40.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

41.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

42.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

43.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

44.

What two colors are the cat's hat in "The Cat in the Hat"?

a)

Red and White

b)

Red and Blue

c)

Blue and White

d)

White and Black

45.

How's life?

4 lines

46.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

47.

Simplify:

a)

2

b)

8

c)

16

d)

32

48.

Simplify:

a)

6

b)

12

c)

36

d)

432

49.

Simplify the expression:
3^1/2 * 27^1/2

a)

9

b)

81

c)

3

d)

1/3

50.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

51.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

52.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

53.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

54.

What two colors are the cat's hat in "The Cat in the Hat"?

a)

Red and White

b)

Red and Blue

c)

Blue and White

d)

White and Black

55.

How's life?

4 lines

56.

What is the 100th term in the sequence a_n = 4n-12

a)

388

b)

40012

c)

-388

d)

100

57.

What 3 terms come next in the sequence?
4, 8, 12, 16

a)

20, 24, 28

b)

12, 8, 4

c)

24, 28, 20

d)

20, 22, 24

58.

What 3 terms come next in the sequence?
2, 4, 8, 16

a)

32, 64, 128

b)

18, 20, 22

c)

24, 28, 32

d)

32, 60, 120

59.

What 2 terms come next in the sequence?
15, 12, 9, 6

a)

6. 3, 0

b)

3, 6

c)

6, 3

d)

3, 0

60.

The next two terms of the sequence 4,7,10,13 are

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

61.

The next two terms of the sequence 12,17,22,27 are

a)

28 and 33

b)

29 and 34

c)

27 and 32

d)

30 and 35

62.

The next two terms of the sequence 4,7,10,13 are ....

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

63.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

64.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

65.

Simplify the algebraic fraction.

a)

-3/b

b)

-b/3

c)

3b

d)

-3b

66.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

67.

Simplify the algebraic fraction.

a)

16/p²q

b)

16p²q

c)

p²q/16

d)

16q/p²

68.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

69.

Simplify the algebraic fraction.

a)

5cd/(3d-5c)

b)

5cd/(3c-5d)

c)

(3c-5d)/5cd

d)

(3d-5c)/5cd

70.

Simplify the algebraic fraction.

a)

1/a

b)

8a/9

c)

9/8a

d)

9a/8

71.

Simplify the algebraic fraction.

a)

10/pq

b)

q/10p

c)

10q/p

d)

p/10q

72.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

73.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

74.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

75.

Which expression represents: "the product of 3 and x increased by 5"?

a)

5x - 3

b)

3 - 5x

c)

3x + 5

d)

3x(5)

76.

a)

x²+4x+8

b)

x²+8x+8

c)

x²+8x+6

d)

x²+6x+8

77.

a)

x²+11x+16

b)

x²+5x+24

c)

x²+11x+24

d)

2x²+11x+24

78.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

79.

a)

x²+6x-16

b)

x²+10x-16

c)

x²+6x+16

d)

x²-6x-16

80.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

81.

a)

7x²+41x+24

b)

12x²+32x+24

c)

12x²+41x+24

d)

12x²+41x+16

82.

a)

20x²-20x-20

b)

20x²-20

c)

20x²+20x-20

d)

20x²+20

83.

a)

30x²-38x-16

b)

30x²+38x-16

c)

35x²+38x-16

d)

30x²+38x+16

84.

a)

9x²-9x-28

b)

9x²+9x-28

c)

6x²-9x-28

d)

9x²-9x-21

85.

a)

5x²-37x+40

b)

4x²-37x-40

c)

4x²+37x+40

d)

4x²-37x+40

86.

a)

25x²+25

b)

25x²+10x-25

c)

25x²-25

d)

25x²-10x-25

87.

a)

45x²-26x-8

b)

45x²-26x+8

c)

45x²+26x-8

d)

45x²-46x-8

88.

a)

x²+4x+8

b)

x²+8x+8

c)

x²+8x+6

d)

x²+6x+8

89.

a)

x²+11x+16

b)

x²+5x+24

c)

x²+11x+24

d)

2x²+11x+24

90.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

91.

a)

x²+6x-16

b)

x²+10x-16

c)

x²+6x+16

d)

x²-6x-16

92.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

93.

a)

7x²+41x+24

b)

12x²+32x+24

c)

12x²+41x+24

d)

12x²+41x+16

94.

a)

20x²-20x-20

b)

20x²-20

c)

20x²+20x-20

d)

20x²+20

95.

a)

30x²-38x-16

b)

30x²+38x-16

c)

35x²+38x-16

d)

30x²+38x+16

96.

a)

9x²-9x-28

b)

9x²+9x-28

c)

6x²-9x-28

d)

9x²-9x-21

97.

a)

5x²-37x+40

b)

4x²-37x-40

c)

4x²+37x+40

d)

4x²-37x+40

98.

a)

25x²+25

b)

25x²+10x-25

c)

25x²-25

d)

25x²-10x-25

99.

a)

45x²-26x-8

b)

45x²-26x+8

c)

45x²+26x-8

d)

45x²-46x-8

100.

a)

x²+4x+8

b)

x²+8x+8

c)

x²+8x+6

d)

x²+6x+8

101.

a)

x²+11x+16

b)

x²+5x+24

c)

x²+11x+24

d)

2x²+11x+24

102.

a)

x²+x-20

b)

x²-x-20

c)

x²-9x-20

d)

x²-x+20

103.

a)

x²+6x-16

b)

x²+10x-16

c)

x²+6x+16

d)

x²-6x-16

104.

a)

5x²+16x+8

b)

6x²+12x+8

c)

6x²+16x+6

d)

6x²+16x+8

105.

a)

7x²+41x+24

b)

12x²+32x+24

c)

12x²+41x+24

d)

12x²+41x+16

106.

a)

20x²-20x-20

b)

20x²-20

c)

20x²+20x-20

d)

20x²+20

107.

a)

30x²-38x-16

b)

30x²+38x-16

c)

35x²+38x-16

d)

30x²+38x+16

108.

a)

9x²-9x-28

b)

9x²+9x-28

c)

6x²-9x-28

d)

9x²-9x-21

109.

a)

5x²-37x+40

b)

4x²-37x-40

c)

4x²+37x+40

d)

4x²-37x+40

110.

a)

25x²+25

b)

25x²+10x-25

c)

25x²-25

d)

25x²-10x-25

111.

a)

45x²-26x-8

b)

45x²-26x+8

c)

45x²+26x-8

d)

45x²-46x-8

Algebra II semester test 2025

Total questions: 111

Worksheet time: 4hrs 56mins

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