Free Printable Semester 1 Final Review

1.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

2.

Factor: x²+16x+64
WHAT TWO NUMBERS MULTIPLY TO 64
AND ADD UP TO 16?

a)

(x+8)(x+8)

b)

(x+2)(x+32)

3.

Factor x² + 12x + 20
WHAT TWO NUMBERS MULTIPLY TO 20
AND ADD UP TO 12?

a)

(x + 2)(x + 10)

b)

(x + 7)(x + 5)

c)

(x + 6)(x + 6)

4.

Factor x² + 7x + 12
What two numbers ADD UP TO 7
and MULTIPLY to 12.

a)

(x + 2)(x + 5)

b)

(x + 3)(x + 4)

c)

(x + 1)(x + 6)

5.

Factor completely
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

6.

Factor completely
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

(6 − i) − (2 − 8i)

b)

(6 + i) − (2 + 8i)

c)

(6 + i) + (2 + 8i)

d)

(6 − i) + (2 − 8i)

10.

a)

x² + 4ix + 4

b)

x² + 4ix − 4

c)

x² + 4

d)

x² − 4

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.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

8 cm

b)

6 cm

c)

20 cm

d)

4 cm

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

24.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

25.

If the discriminant is zero you will have

a)

no real solutions

b)

two real solutions

c)

1 real solution

d)

1 imaginary solution

26.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

27.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

28.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

29.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

30.

What are the solutions to x² - 3x = 5?

a)

b)

c)

d)

31.

a)

A

b)

B

c)

C

d)

D

32.

a)

A

b)

B

c)

C

d)

D

33.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

34.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

What is row 5 of Pascal's Triangle?

a)

1, 2, 1

b)

1, 3, 3, 1

c)

1, 4, 9, 4, 1

d)

1, 5, 10, 10, 5, 1

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

4x² + 8x - 7 is classified as a...

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Cubic

51.

The binomial 3x² - 4 has degree...

a)

1

b)

2

c)

3

d)

4

52.

This polynomial: 3x²- 4x⁴ + 7x³ - 1 + 5x ,written in standard form would be

a)

3x²- 4x⁴ + 7x³ - 1 + 5x

b)

- 4x⁴ + 7x³ + 3x²+ 5x - 1

c)

- 1 + 5x + 3x²+ 7x³- 4x⁴

d)

7x³+ 5x- 4x⁴+ 3x² - 1

53.

The leading coefficient of this polynomial - 4x⁴ + 7x³ + 3x²+ 5x - 1 is...

a)

-4

b)

-1

c)

4

d)

7

54.

4x² - 3x + 5 is classified as a...

a)

Cubic Monomial

b)

Cubic Trinomial

c)

Quadratic Trinomial

d)

Quadratic Binomial

55.

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

a)

1

b)

2

c)

4

d)

5

56.

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

57.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

58.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

59.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

60.

Factor to the polynomial to find the solutions:

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

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

a)

5

b)

4

c)

3

d)

2

67.

a)

x = 1, x = 0, x = -2

b)

x = −1, x = 0, x = 1, x = 2

c)

x = −1, x = 1, x = 2

d)

x = −1, x = 2

68.

a)

x = 1, x = 0, x = -2

b)

x = −1, x = 0, x = 2

c)

x = 1, x = -2

d)

x = −1, x = 2

69.

a)

2

b)

1

c)

3

d)

None

70.

a)

2

b)

1

c)

4

d)

None

71.

a)

The function has 5 real roots

b)

The function has 4 complex roots

c)

The function has 3 complex roots

d)

The function has no complex roots

72.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

73.

When creating an inverse you must...

a)

Switch the x and y

b)

Solve for x

c)

Draw a graph

d)

Potato

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

77.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

78.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

79.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

a)

-42

b)

-26

c)

-18

d)

None of these.

80.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

a)

3x² - 2

b)

3x + 8

c)

3x + 4

d)

None of these.

81.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

82.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

83.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

a)

3x² - 2

b)

3x + 8

c)

3x + 4

d)

None of these.

84.

Simplify:

a)

$2x\sqrt{14x}$

b)

$4x\sqrt{14x}$

c)

$2x\sqrt{14x^3}$

d)

$4x\sqrt{14x^3}$

85.

(10+3i) - (2-9i)

a)

20-27i

b)

12-7i

c)

8+12i

d)

20-27i²

86.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

87.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

88.

Divide: $\frac{3-5i}{8+2i}$

a)

$\frac{3-5i}{8}$

b)

$\frac{3+5i}{8}$

c)

$\frac{7-23i}{34}$

d)

$\frac{7+23i}{34}$

89.

a)

b)

c)

d)

90.

a)

b)

c)

d)

91.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

92.

Write in exponential form

∛x⁷

a)

$x^{\frac{7}{3}}$

b)

$x^{\frac{3}{7}}$

c)

$3x^7$

d)

$7x^3$

93.

Write as a radical expression
$y^{\frac{3}{2}}$

a)

$2y^3$

b)

$\sqrt{y^3}$

c)

$3\sqrt{y^2}$

d)

$3y^2$

94.

a)

A

b)

B

c)

C

d)

D

95.

a)

A

b)

B

c)

C

d)

D

96.

a)

A

b)

B

c)

C

d)

D

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

(6 − i) − (2 − 8i)

b)

(6 + i) − (2 + 8i)

c)

(6 + i) + (2 + 8i)

d)

(6 − i) + (2 − 8i)

99.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

100.

Solve for x

a)

6

b)

17/5

c)

19/2

d)

- 6

101.

Solve for v

a)

- 7/6

b)

- 9/5

c)

9/5

d)

-3

102.

Solve for x

a)

5

b)

4/5

c)

1

d)

- 4

103.

Solve for r

a)

5

b)

- 5, 4

c)

- 5

d)

5, 4

104.

Solve for x

a)

5/3, 1

b)

- 5, 1

c)

5, 2/3

d)

5, 1

105.

Solve for n

a)

- 2, - 1

b)

- 5, - 1

c)

- 2

d)

- 2, - 2/3

106.

Solve for x

a)

11

b)

5

c)

8

d)

7

107.

Solve for c

a)

-3

b)

3

c)

4

d)

-4

108.

a)

A

b)

B

c)

C

d)

D

109.

a)

A

b)

B

c)

C

d)

D

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

a

b)

b

c)

c

d)

d

113.

a)

a

b)

b

c)

c

d)

d

114.

a)

a

b)

b

c)

c

d)

d

115.

a)

a

b)

b

c)

c

d)

d

116.

a)

a

b)

b

c)

c

d)

d

117.

What are the asymptotes?

a)

x = -3 y = 1

b)

x = 3 y = 1

c)

x = -3 y = -1

d)

x = 3 y = -1

118.

what is the equation that best matches the graph?

a)

A

b)

B

c)

C

d)

D

119.

What are the Vertical Asymptotes of...

a)

x = 0, -5

b)

x=0, 5

c)

x = 2, -7

d)

x = -2, 7

120.

What is the domain and range?

a)

D : All real number x ≠ -3
R: All real number y≠ 1

b)

D : All real number x ≠ 1
R: All real number y≠ -3

c)

D : All real number x ≠ 3
R: All real number y≠ 1

d)

D : All real number x ≠ -1
R: All real number y≠ 3

121.

What is the horizontal asymptote?

a)

x = 2

b)

x = 7

c)

y = 2

d)

y = 7

122.

What is the domain?

a)

D: x ≠ 0

b)

D: x ≠ 3

c)

D: x ≠ 1

123.

What is the vertical asymptote?

a)

x = 2

b)

x = 7

c)

x = -2

d)

x = 5

124.

What is the horizontal asymptote?

a)

x = 2

b)

x = 7

c)

y = 2

d)

y = 7

125.

What are the asymptotes?

a)

x=-3, y=1

b)

x=3, y =1

c)

x=-3, y =-1

d)

x=3 y=-1

Semester 1 Final Review

Total questions: 125

Worksheet time: 19hrs 34mins

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