Free Printable 23-24 Sem2 Final Exam Review

1.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

2.

a)

A

b)

B

c)

C

d)

D

3.

Is the function linear or nonlinear?

a)

Linear Function

b)

Nonlinear Function

4.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

5.

The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?

a)

{-7, -1, -8}

b)

{-3, 6}

c)

{-3, 3, 6}

d)

All real numbers

6.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

7.

Given $f\left(x\right)=3x+9$ , find $f\left(-4\right)$ .

a)

$-3$

b)

$21$

c)

$8$

d)

$-12$

8.

g(x) = 5 - 6x
Find g(-5)

a)

g(-5) = -25

b)

g(-5) = 6

c)

g(-5) = 4

d)

g(-5) = 35

9.

g(x) = 11 - x
Find g(x) = -7

a)

4

b)

17

c)

18

d)

-77

10.

f(x)=-x+3
f(x) = 7

a)

-4

b)

-6

c)

3

d)

13

11.

What is the y-intercept (b) of the table?

a)

5

b)

2

c)

0

d)

1

12.

Write the equation of the line for the table.

a)

y = 5x + 2

b)

y = 2x + 5

c)

y = 2/5x

d)

y = 5/2x

13.

What is the slope of the table?

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

14.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

15.

Write the equation that created this table.

a)

y = 3x

b)

y = 4x + 3

c)

y = 3x + 4

d)

y = 8x + 3

16.

Write the equation that created this table.

a)

y = 3x + 4

b)

y = 4x + 3

c)

y = 3x + 1

d)

y = x + 1

17.

Write the equation that created this table.

a)

y = -2x - 1

b)

y = 2x + 1

c)

y = 4x - 3

d)

y = -2x + 5

18.

What is the degree classification of this polynomial?
x²+4x-8

a)

binomial

b)

trinomial

c)

quadratic

d)

cubic

19.

Which is an example of a cubic binomial?

a)

x³+5

b)

x²+3

c)

x²+5x-6

d)

5x³

20.

What is the leading coefficient of the following polynomial?
5x²-3x+6

a)

2

b)

-3

c)

5

d)

6

21.

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

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

22.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

23.

What is the GCF in this polynomial?
3x²+6x-18

a)

2

b)

3

c)

6

d)

18

24.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

25.

Classify the polynomial:

4x² + 2x - 1

a)

Polynomial

b)

Binomial

c)

Trinomial

d)

Monomial

26.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

27.

(4x²+ x) - (x²+ 2x)

a)

3x² - x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

28.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

29.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

30.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

31.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

32.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

33.

Which of the following is equivalent to:
$3x^2+4x+1$

a)

$\left(7x-10\right)\left(x-8\right)$

b)

Not factorable

c)

$\left(3x+1\right)\left(x+1\right)$

d)

$\left(3x-1\right)\left(x-1\right)$

34.

Which of the following is equivalent to:
$2x^2-13x-70$

a)

$\left(2x-7\right)\left(x+10\right)$

b)

$\left(7x+5\right)\left(x+2\right)$

c)

$\left(2x+7\right)\left(x-10\right)$

d)

$2\left(x-7\right)\left(x+10\right)$

35.

Which of the following is equivalent to:
$9x^2-6x-8$

a)

$\left(3x+2\right)\left(3x-4\right)$

b)

$\left(3x+2\right)\left(3x+4\right)$

c)

$\left(3x-2\right)\left(3x-4\right)$

d)

$\left(x-1\right)\left(9x+8\right)$

36.

Which of the following is equivalent to:
$x^2-49$

a)

$\left(x+7\right)\left(x-7\right)$

b)

$\left(x+7\right)^2$

c)

$\left(x-7\right)^2$

d)

$\left(x+7\right)\left(x-1\right)$

37.

What is the direction of this function?

$f\left(x\right)=x^2-2x+4$

a)

Upward

b)

Downward

38.

What is the direction of this function?

$f\left(x\right)=-2x^2+8$

a)

Upward

b)

Downward

39.

What is the vertex of this function?

$f\left(x\right)=3\left(x-1\right)^2+4$

Write as a coordinate, with parentheses, separated by a comma.

(a)

40.

Change this quadratic from vertex form to standard form.

$f\left(x\right)=-3\left(x-1\right)^2+2$

a)

$f\left(x\right)=-3x^2+6x-5$

b)

$f\left(x\right)=3x^2-6x+5$

c)

$f\left(x\right)=-3x^2+6x-1$

d)

$f\left(x\right)=-3x^2-6x-1$

41.

What is the axis of symmetry of this function?

$f\left(x\right)=-2\left(x+5\right)^2-8$

a)

x = -2

b)

x = 5

c)

x = -8

d)

x = -5

42.

What is the y-intercept?

$f\left(x\right)=x^2+4x-7$

a)

(0, -7)

b)

(0, 4)

c)

(0, -2)

d)

(0, 2)

43.

What is the vertex of this function?

$f\left(x\right)=3x^2-6x-2$

Remember, x = -b/2a

a)

(-1, 7)

b)

(1, -5)

c)

(2, -2)

d)

(-2, 22)

44.

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116ft/s.

Write an equation for this situation.

a)

$h\left(t\right)=-16t^2+101t+116$

b)

$h\left(t\right)=-16t^2+116t+101$

45.

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116ft/s.

$h\left(t\right)=-16t^2+116t+101$

How many seconds does it take to reach its maximum height?

Write your answer without units.

(a)

46.

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116ft/s.

$h\left(t\right)=-16t^2+116t+101$

It took 3.625 seconds to reach its maximum height.

What is the maximum height of the rocket?

Write your answer without units.

(a)

47.

How does the following function differ from the parent function $f\left(x\right)=x^2$ ?

$g\left(x\right)=-\frac{1}{2}\left(x-3\right)^2$

a)

Reflection

b)

Vertical Stretch

c)

Vertical Compression

d)

Shift right

e)

Shift left

48.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

The graph opens __

a)

Up

b)

Down

49.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

Does the graph have a minimum or maximum?

a)

Minimum

b)

Maximum

50.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

The axis of symmetry equation is (a)

51.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

The vertex is

a)

(-2, -3)

b)

(2, -3)

c)

(-3, 2)

d)

(-3, -2)

52.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

The domain is __

a)

All Real Numbers

b)

x < 2

c)

x < -2

d)

x > 2

e)

x > -2

53.

Identify the key features of the graph of the equation

$f\left(x\right)=5\left(x+2\right)^2-3$

The range is __

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,\ 3\right]$

c)

$\left[-3,\infty\right)$

d)

$\left[3,\ -3\right]$

54.

What equation in Vertex Form BEST represents the graph shown?

a)

y = -(x - 5)² + 2

b)

y = -0.5(x - 5)² + 2

c)

y = -2(x - 5)² + 2

d)

y = (x - 5)² + 2

e)

y = -(x + 5)² + 2

55.

Select all eqations that could represent $g\left(x\right)=ax^2$ if it opens upwards and is wider than the parent function $f\left(x\right)=x^2$ .

a)

$g\left(x\right)=1.5x^2$

b)

$g\left(x\right)=2x^2$

c)

$g\left(x\right)=-\frac{1}{5}x^2$

d)

$g\left(x\right)=\frac{1}{3}x^2$

e)

$g\left(x\right)=0.2\left(x-2\right)^2$

56.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

57.

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

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

58.

Describe the transformation of y = (x - 4)²

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

59.

Describe the transformation of y = x² + 4

a)

Shift UP

b)

Shift DOWN

c)

Shift LEFT

d)

Shift RIGHT

60.

Compare the function y = 0.3x² to the parent function y = x²

a)

Wider

b)

Narrower

61.

Match the equation to its description.

a)

Reflected over x, right 2 and up 1

b)

Reflected over x, left 2 and up 1

c)

Reflected over x, right 2 and down 1

d)

Reflected over x, left 2 and down 1

62.

Which letter on the graph above represents the Vertex?

a)

A

b)

B

c)

C

d)

D

63.

Which letter on the graph above represents the Axis of Symmetry?

a)

A

b)

B

c)

C

d)

D

64.

Which letter on the graph above represents the minimum value?

a)

B

b)

D

c)

E

d)

C

65.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

66.

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

67.

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

a)

20

b)

18

c)

11

d)

19

68.

Find the median:
3, 5, 7, 4, 3, 1

a)

3 and 4

b)

There isn't one

c)

3.5

d)

3

69.

How many people watched more than 25 hours of TV last week?

a)

0

b)

10

c)

38

d)

42

70.

How many total people took the survey?

a)

50

b)

150

c)

100

d)

200

71.

What is the highest score in the class?

a)

88%

b)

100%

c)

13

d)

98%

72.

How many students were greater than 55 inches tall but less than 70 inches tall?

a)

13

b)

15

c)

16

d)

17

73.

Check all methods that you could use to SOLVE the following equation.
$x^2-7x-18=0$

a)

Factoring (Diamond Method)

b)

Factoring (Grouping)

c)

Quadratic Formula

d)

Finding square roots

74.

Solve by finding square roots and simplify completely:
$2x^2=20$

a)

$x=\pm10$

b)

$x=\sqrt{10}$

c)

$x=\pm\sqrt{10}$

d)

No real solutions

75.

Solve by finding square roots and simplify completely:
$x^2-16=0$

a)

$x=\pm16$

b)

$x=4$

c)

$x=\pm4$

d)

No real solutions

76.

Solve by factoring:
$x^2-36=0$

a)

$x=\pm6$

b)

$x=\pm36$

c)

$x=\pm18$

d)

No real solutions

77.

Solve by factoring:
$x^2+10x+24=0$

a)

$x=6\ or\ x=4$

b)

$x=\pm\sqrt{14}$

c)

$x=-6\ or\ x=-4$

d)

No real solutions

78.

Solve by factoring:
$x^2+2x-15=0$

a)

$x=3\ or\ x=-5$

b)

$x=\pm\sqrt{13}$

c)

$x=-3\ or\ x=5$

d)

No real solutions

79.

Solve using the Quadratic Formula:
$x^2+10x+9=0$

a)

$x=1\ or\ x=9$

b)

$x=-1\ or\ x=-9$

c)

$x=-2\ or\ x=-18$

d)

No real solutions

80.

Solve using the Quadratic Formula:
$5x^2+3x-1=0$

a)

$x=\frac{3\pm\sqrt{29}}{5}$

b)

$x=\frac{8}{5}\ or\ x=-\frac{2}{5}$

c)

$x=\frac{-3\pm\sqrt{29}}{10}$

d)

No real solutions

81.

When does a quadratic equation have no real solutions?

a)

When you cannot factor it

b)

When it begins with a negative leading coefficient

c)

When there is a square root of a negative number

d)

When it only has two terms

82.

Which answer choice correctly shows the quadratic equation above in factored form?

a)

(x + 7)(x - 2) = 0

b)

(x - 7)(x + 2) = 0

c)

(x - 7)(x - 2) = 0

d)

(x + 7)(x + 2) = 0

83.

Solve by taking the square root:

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

84.

Solve using the quadratic formula.

$2p^2-4p-16=0$

a)

p = 2 or p = -1

b)

p = 1 or p = -2

c)

p = 4 or p = -2

d)

No solution

85.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

86.

Find the zeros.

a)

0 and 4

b)

0 and -4

c)

0

d)

-4

87.

How many solutions does this graph have?

a)

one

b)

two

c)

no real solutions

d)

cannot be determined

88.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

89.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

90.

What property would you use to solve the following?
(x-3)(x+2)=0

a)

Commutative Property

b)

Associative Property

c)

Zero Product Property

d)

Inverse Property

91.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

92.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

93.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

94.

True or False: This is an exponential function.

a)

True

b)

False

95.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

96.

Consider the given function that represents the balance in a bank account.

$b\left(x\right)=850\left(1.025\right)^x$

What is the initial balance in the account?

(a)

97.

A small private school with a graduating class of 40 students in the year 2019 predicts that its graduating class will increase by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

98.

The value of a new video game is $40. The value is expected to decrease by 5% each year.

What function best represents this situation?

a)

$f\left(x\right)=40\left(0.95\right)^x$

b)

$f\left(x\right)=40\left(1.05\right)^x$

c)

$f\left(x\right)=5\left(0.60\right)^x$

d)

$f\left(x\right)=5\left(1.40\right)^x$

23-24 Sem2 Final Exam Review

Total questions: 98

Worksheet time: 6hrs 39mins

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