Free Printable Semester 2 FINAL Review

1.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

2.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

3.

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

4.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

5.

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

6.

What is the degree of the polynomial:
7x³ – 8x² + 9

a)

5

b)

2

c)

6

d)

3

7.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Quadranomial

8.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

9.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

10.

(6y - 5)(9y + 4)

a)

27y² - 21y - 20

b)

36y² - 21y - 20

c)

45y² - 21y - 20

d)

54y² - 21y - 20

11.

Multiply.
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

12.

Multiply.
(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

13.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

14.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

15.

Classify:
x³ + 3x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

16.

What is the value of the coefficient?
−3x+6

a)

3

b)

6

c)

−3

d)

x

17.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

18.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

19.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x³+ x

a)

1

b)

2

c)

3

d)

4

20.

Classify by the DEGREE:
2x² - 5

a)

1

b)

2

c)

3

d)

4

21.

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

a)

4

b)

2

c)

8

d)

20

22.

Complete the Square
x² + 6x = 5

a)

(x + 3)² = 5

b)

(x + 6)² = 9

c)

(x + 3)² = 14

d)

(x + 6)² = 14

23.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

24.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

25.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

26.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

27.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

28.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

29.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

30.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

31.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

32.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(0, 7)

d)

(0, -7)

33.

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

34.

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

35.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

36.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

37.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

38.

What is the equation for the axis of symmetry of
f(x)= (x +1)² + 5

a)

x = 1

b)

x = -1

c)

x = -5

d)

x = 5

39.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

40.

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

a)

horizontal shift down and vertical shift left

b)

horizontal shift left and vertical shift down

c)

horizontal shift right and vertical shift up

d)

horizontal shift up and vertical shift right

41.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

42.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

43.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

44.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

45.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

46.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

47.

Given the equation above, find h(-3).

a)

-13

b)

5

c)

-23

d)

23

48.

Find the vertex of

y=3\left(x-2\right)^2+3

a)

$\left(2,3\right)$

b)

$\left(-2,3\right)$

c)

$\left(2,-3\right)$

d)

$\left(-2,-3\right)$

49.

Find the axis of symmetry of

y=3\left(x-2\right)^2+3

a)

$x=2$

b)

$x=-2$

c)

$x=3$

d)

$x=-3$

50.

Find the vertex of

y=-\frac{1}{2}\left(x+11\right)^2-4

a)

$\left(-11,-4\right)$

b)

$\left(11,-4\right)$

c)

$\left(11,4\right)$

d)

$\left(-11,4\right)$

51.

Find the x-intercepts of

f\left(x\right)=x^2-11x+30

a)

$x=5,6$

b)

$x=-6,-5$

c)

$x=-15,2$

d)

$x=-2,15$

52.

Find the x-intercepts of

g\left(x\right)=x^2+5x-14

a)

$x=-7,2$

b)

$x=-7,-2$

c)

$x=7,2$

d)

$x=7,-2$

53.

Find the x-intercepts of

h\left(x\right)=x^2-8x+12

a)

$x=2,6$

b)

$x=-6,-2$

c)

$x=-6,2$

d)

$x=-2,6$

54.

Find the y-intercept of

f\left(x\right)=x^2-11x+30

a)

30

b)

-30

c)

11

d)

-11

55.

Find the y-intercept of

h\left(x\right)=x^2-8x+12

a)

12

b)

-12

c)

-8

d)

8

56.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

57.

x²- 225

a)

( x + 15) ( x + 15)

b)

Unfactorable

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

58.

x² - 9

a)

(x + 3) (x - 3)

b)

(x - 3) (x - 3)

c)

(x + 3) (x - 6)

d)

Can't factor using Diff. of Squares

59.

4a² - 25

a)

(2a + 5) (2a - 5)

b)

(2a - 5) (2a - 5)

c)

(x + 5) (x - 5)

d)

Can't factor using Diff. of Squares

60.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

61.

Simplify -√-8

a)

-i√8

b)

-2i√2

c)

2i√2

d)

-8i

62.

What does i²= ?

a)

1

b)

-1

c)

√-1

d)

√1

63.

$\sqrt{-1}=$

a)

$i$

b)

$-1$

c)

$-i$

d)

$1$

64.

$\sqrt{-64}$

a)

$8i$

b)

$-8$

c)

$8$

d)

$\pm8i$

65.

$\sqrt{-12}$

a)

$\pm2i\sqrt{3}$

b)

$\pm4i\sqrt{3}$

c)

$-2\sqrt{3}$

d)

$-4i\sqrt{3}$

66.

$\sqrt{-18}$

a)

$\pm3i\sqrt{2}$

b)

$\pm9i\sqrt{2}$

c)

$-3\sqrt{2}$

d)

$-9i\sqrt{2}$

67.

Which of the following is Standard Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-r_1\right)\left(x-r_2\right)$

c)

$y=a\left(x-h\right)^2+k$

68.

Which of the following is Vertex Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-r_1\right)\left(x-r_2\right)$

c)

$y=a\left(x-h\right)^2+k$

69.

Which of the following is Factored Form?

a)

$y=ax^2+bx+c$

b)

$y=a\left(x-r_1\right)\left(x-r_2\right)$

c)

$y=a\left(x-h\right)^2+k$

70.

Is this exponential growth or decay?

a)

Growth

b)

Decay

71.

Is this exponential growth or decay?

a)

Growth

b)

Decay

72.

Pick the equation that is exponential decay

a)

y=2000(0.88)

b)

y=0.5(1.88)

73.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

74.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

75.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

76.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

77.

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year. Write and evaluate an expression to estimate the paintings value in 2005.

a)

1.08(12,000)^t = $36,000

b)

12,000(1.08)^t = $38, 066

c)

12,000(0.5)^t = $10,000

d)

12,000(0.92)^t= $40,000

78.

Give the rate of decay:
y = 35(0.65)^x

a)

35%

b)

65%

c)

.35%

d)

165%

79.

Give the rate of growth:
y = 5(1.27)^x

a)

127%

b)

27%

c)

5

80.

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

a)

800

b)

0.85

c)

0.15

d)

x

81.

The graph

g\left(x\right)=2^{\left(x-3\right)}

is shown, which statement best describes the transformation from the parent graph

f\left(x\right)=2^x

.

a)

Vertically shift up 3

b)

Vertically shift down 3

c)

Horizontally shift right 3

d)

Horizontally shift left 3

82.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

83.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

84.

If g(x) is a transformation of f(x), describe the transformation.

$g\left(x\right)=0.5^{x-3}$
$f\left(x\right)=0.5^x$

a)

Left 3 units

b)

Right 3 units

c)

Up 3 units

d)

Down 3 units

85.

Describe the transformation:

f\left(x\right)=4^{x+2}-3

a)

Translate Up 2 and Right 3

b)

Translate Right 2 and Down 3

c)

Translate Left 2 and Down 3

d)

Translate Down 2 and Right 3

86.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

87.

What is the range of the function shown below?

a)

0 < y < 12

b)

-2 < y < 5

c)

y > 0

d)

All Real Numbers

88.

Which best represents the Interquartile Range

a)

15

b)

93

c)

85

d)

78

89.

Find the Maximum

a)

68

b)

98

c)

85

d)

93

90.

Find the Minimum

a)

98

b)

85

c)

68

d)

93

91.

Find the Median

a)

98

b)

93

c)

78

d)

85

92.

Which has a larger IQR?

a)

Zach

b)

Steven

c)

They have the same IQR

93.

Which best represents the Interquartile Range

a)

12

b)

5

c)

5.5

d)

8.5

94.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

95.

What value is the lower quartile?

a)

66

b)

58

c)

60

d)

64

96.

What percent of students have heights between 60 inches and 66 inches?

a)

75%

b)

50%

c)

100%

d)

25%

97.

What percent of the data is between 25 and 30 on the number line?

a)

25%

b)

`50%

c)

75%

d)

100%

98.

What is the overall shape of the graph?

a)

Approximately Symmetrical

b)

Skewed left

c)

Skewed right

99.

What do you do if there are two numbers in "the middle" when you are finding the median?

a)

Pick your favorite number

b)

Add the two numbers in the middle & then divide by two.

c)

They are both the median

d)

None of the above

100.

What percentage of the data is between 90 and 140?

a)

25 %

b)

50%

c)

75%

d)

100%

101.

Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23

a)

14

b)

5

c)

17.5

d)

19

102.

What does a quartile mean?

a)

One fourth of the data.

b)

One half of the data.

c)

Some data only.

d)

All of the data.

103.

How many students sent between 10 and 19 text?

a)

25

b)

22

c)

15

d)

45

104.

How many students sent more than 29 text messages?

a)

45

b)

25

c)

95

d)

199

105.

How many vehicles get less than 17 miles per gallon?

a)

20

b)

15

c)

14

d)

25

106.

What is the MEDIAN of this data

a)

95

b)

90

c)

100

d)

40

107.

What is the RANGE of this data

a)

40

b)

95

c)

90

d)

100

108.

What is the MODE of this data?

a)

100

b)

20

c)

80, 85, and 90

d)

none

109.

What is the MEAN for this data?

a)

80

b)

1040

c)

13

d)

81

110.

Shape?

a)

Skewed right

b)

Skewed left

c)

Symmetric

d)

Unimodal

111.

What is the shape of this bar graph?

a)

Skew right

b)

Skew left

c)

Symmetrical

d)

uniform

112.

a)

skewed left

b)

skewed right

c)

symmetrical

113.

What is the shape of the data for Lucy's Steakhouse?

a)

skewed left

b)

skewed right

c)

symmetrical

114.

The following dot plot is

a)

skewed left

b)

skewed right

c)

symmetrical

115.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

116.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

117.

Describe the shape of the data.

a)

Symmetrical

b)

Skewed Left

c)

Skewed Right

118.

Find the Minimum of the following numbers:
84, 88, 72, 74, 98, 16, 94

a)

16

b)

98

c)

94

d)

There is no minimum.

119.

Find the Maximum of the following numbers:
84, 88, 72, 74, 98, 16, 94

a)

16

b)

98

c)

84

d)

There is no maximum.

120.

Find the Median of the following numbers:
84, 88, 72, 74, 98, 16, 94

a)

16

b)

98

c)

84

d)

There is no median.

121.

Find the Lower Quartile of the following numbers:
84, 88, 72, 74, 98, 16, 94

a)

72

b)

88

c)

94

d)

There is no Lower Quartile.

122.

Find the Upper Quartile of the following numbers:
84, 88, 72, 74, 98, 16, 94

a)

72

b)

88

c)

94

d)

There is no Upper Quartile.

123.

Find the IQR of the following numbers:

84, 88, 72, 74, 98, 16, 94

a)

78

b)

22

c)

16

d)

There is no IQR.

124.

Which of the following lists all parts of the five number summary?

a)

Mean, Median, Mode, Range, and Total

b)

Minimum, Quartile 1, Median, Quartile 3, and Maximum

c)

Smallest, Q1, Q2, Q3, and Q4

d)

Minimum, Maximum, Range, Mean, and Median

125.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

126.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

127.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

128.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

129.

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

a)

4%

b)

14%

c)

13%

d)

29%

130.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

131.

What was the most popular party type?

a)

Bowling

b)

Skating

c)

Dancing

d)

Total

132.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

133.

√24

a)

$\pm$ 4√6

b)

$\pm$ 2√6

c)

$\pm$ 6√2

d)

$\pm$ 2√12

134.

√28

a)

$\pm$ 7√2

b)

$\pm$ 7√4

c)

$\pm$ 4√7

d)

$\pm$ 2√7

135.

√45

a)

$\pm$ 3√5

b)

$\pm$ 5√3

c)

$\pm$ 9√5

d)

$\pm$ 5√9

136.

In simplest radical form,
√75 is equivalent to

a)

$\pm$ 25√3

b)

$\pm$ 25√3

c)

$\pm$ 5√3

d)

$\pm$ 3√5

137.

Simplify √72

a)

$\pm$ 8√3

b)

$\pm$ 6√2

c)

$\pm$ 3√8

d)

$\pm$ 4√8

138.

√16

a)

$\pm$ 4

b)

$\pm$ 8

c)

$\pm$ 16

d)

$\pm$ 64

Semester 2 FINAL Review

Total questions: 138

Worksheet time: 23hrs 0mins

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