Free Printable Algebra 2: Semester 1 Midterm Review

1.

a)

2x - 4

b)

2x + 4

c)

2x - 1 + -16/4x-5

d)

2x - 4 + -40/4x-5

2.

(27x³+ 9x²- 3x - 10) ÷ (3x - 2)

a)

9x⁴+5

b)

9x²+9x+5

c)

9x²-9x+5

d)

9x²-9x

3.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

4.

a)

A

b)

B

c)

C

d)

D

5.

What is the simplified form of (-9 + 5i) + (3 -2i)

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

6.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

7.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

8.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

9.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

18.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

19.

What is the standard form for a complex number?

a)

-8i

b)

a + bi

c)

bi + a

d)

-8i + 8

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Expand

a)

A

b)

B

c)

C

d)

D

24.

Expand

a)

A

b)

B

c)

C

d)

D

25.

Expand

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

4x² + 8x - 7 is classified as a...

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Cubic

28.

What is the degree of this polynomial? 7x - 4x⁵ + 3x⁴ - 6x²

a)

1

b)

2

c)

4

d)

5

29.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

30.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t²+ 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

31.

a)

9 - √17

b)

4

c)

2

d)

√8

32.

a)

-1

b)

1

c)

-1/3

d)

-5/3

33.

a)

9 - √5

b)

√14

c)

16

d)

4

34.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

35.

a)

b)

c)

d)

36.

find h(f(-1))

a)

-5

b)

4

c)

-4

d)

12

37.

Find g(f(-2))

a)

-18

b)

-2

c)

1

d)

9

38.

a)

b)

c)

d)

39.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

40.

a)

Inverse Functions

b)

Not Inverse Functions

41.

a)

Inverse Functions

b)

Not Inverse Functions

42.

What operation allows us to verify if functions are inverses?

a)

Multiplying

b)

Dividing

c)

Adding

d)

Composing

43.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

44.

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p -10

d)

4p³ +3p² + 16p + 10

45.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

46.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

47.

Find the product.

a)

5x² - 6x +9

b)

-10x³ + 23x² -24x + 18

c)

5x³ + 7x² -24x + 18

d)

-10x³ + 23x² + 18

48.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

49.

Name the polynomial by degree and number of terms:
8k³ + 6k² - 10k + 10

a)

Linear monomial

b)

cubic binomial

c)

cubic polynomial

d)

quartic trinomial

50.

Identify the leading coefficient in the polynomial.
7x²+4x-5x⁶-15

a)

7

b)

4

c)

-15

d)

-5

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

Simplify.

a)

b)

c)

d)

55.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

56.

a)

b)

16c³d³

c)

d)

57.

a)

b)

c)

3x⁴y

d)

58.

a)

b)

c)

1

d)

0

59.

a)

3ab⁸c³

b)

c)

d)

2ab⁸c¹¹

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

Algebra 2: Semester 1 Midterm Review

Total questions: 63

Worksheet time: 8hrs 35mins

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