Free Printable Hoang's Algebra 2 Midterm Exam

1.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

2.

Is this table a function or not a function?

a)

Function

b)

Not a Function

3.

Is this set of ordered pairs a function or not a function?

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

a)

Function

b)

Not a Function

4.

Which graph shows a relation that is a function?

a)

b)

c)

d)

5.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

6.

a)

Function

b)

Not a Function

7.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

8.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

9.

A visual- representation of a relation in which an arrow associates each input with its output

a)

Function

b)

Ordered Pair

c)

Mapping

d)

Relation

10.

What is a test that is used to check if the graph is function or not?

a)

Multiple Choice

b)

Vertical Line Test

c)

Horizontal Line Test

d)

None of the above

11.

Is this graph a function or not a function?

a)

Function

b)

Non Function

12.

.

Is this graph a function or not a function?

a)

Non Function

b)

Function

13.

Is this relation, represented by a mapping diagram, a function?

a)

Yes, function

b)

No, not a function

14.

Determine the domain and range.

(Choose 2)

a)

Domain:

{16, 1, 0, 1, 16}

b)

Domain:

{0, 1, 16}

c)

Range:

(-2, -1, 0, 1, 2}

d)

Range:

{0, 1, 2}

15.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

16.

What is the range?

a)

\left(0,\ \infty\right)

b)

$\left[0,\ \infty\right)$

c)

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

d)

None of the answer choices

17.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

18.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

19.

What is the domain?

a)

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

b)

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

c)

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

d)

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

e)

None of the answer choices

20.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

21.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

22.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

23.

What is the DOMAIN of this graph?
Remember DOMAIN is "x" values that go left to right.

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

24.

What is the domain of the function?

a)

$1\le y\le5$

b)

$1<x\le4$

c)

$1\le x\le4$

d)

$1<y<5$

25.

To determine the domain from a graph, you must

a)

read the graph from bottom to top

b)

read the graph from top to bottom

c)

read the graph from left to right

d)

read the graph right to left

26.

Determine the domain and range of the linear graph.

a)

$D:\ -6<x<\ 3$

$R:\ -8\ <\ y\ <\ -2$

b)

$D:-3\ <\ x\ <\ -6$

$R:\ -2\ <\ y\ <-8$

c)

$D:-8\ <\ x\ <\ -2$ $R:\ -6\ <y<3$

d)

$D:\ 6<\ x\ <\ 3$ $R:\ 8\ <\ y\ <\ 2$

27.

What is the y - intercept?

a)

(0,0)

b)

(-5, 0)

c)

(5, 0)

28.

What is the range of the function?

a)

(-5, 5)

b)

(-5, 5]

c)

[-4,4]

d)

(-4, 4)

29.

What is the domain of the function?

a)

(-5, 5)

b)

(-5, 5]

c)

[-4, 4]

d)

(-4, 4)

30.

Are the x intercept(s) of the function?

a)

(0,0)

b)

(-5,0) and (5,0)

c)

(0,0) and (-5, 0)

d)

(0,0) and (5,0)

31.

What is the minimum?

a)

4

b)

-4

c)

5

d)

-5

32.

End Behavior: as $x\rightarrow-\infty,\ f\left(x\right)\ \rightarrow$

a)

0

b)

4

c)

5

d)

-5

33.

End Behavior: $as\ x\rightarrow\infty,\ f\left(x\right)\ \rightarrow$

a)

4

b)

0

c)

5

d)

-5

34.

Interval(s) of increase

a)

(-5, -2.5)

b)

(-2.5, 2.5)

c)

(2.5, 5)

d)

(-5, -2.5) and (2.5, 5)

35.

Interval(s) of Decrease

a)

(-5, -2.5)

b)

(-2.5, 2.5)

c)

(2.5, 5)

d)

(-5, -2.5) and (2.5, 5)

36.

What is the name of this form for a quadratic equation? $y=a\left(x-h\right)^2+k$

a)

Intercept Form

b)

Point-Slope Form

c)

Standard Form

d)

Vertex Form

37.

What is the name of this form for a quadratic equation? $y=ax^2+bx+c$

a)

Intercept Form

b)

Point-Slope Form

c)

Standard Form

d)

Vertex Form

38.

Choose the equation in vertex form below that matches the graph.

a)

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

b)

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

c)

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

d)

$y=\frac{1}{2}\left(x-3\right)^2-4$

39.

Choose the equation in standard form below that matches the graph.

a)

$y=x^2-4x+8$

b)

$y=-x^2-8x+16$

c)

$y=2x^2-5x+2$

d)

$y=x^2-8x-20$

40.

Choose the equation in intercept form below that matches the graph.

a)

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

b)

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

c)

$y=\left(x-3\right)\left(x-7\right)$

d)

$y=-5\left(x+9\right)\left(x-4\right)$

41.

Which of the following is the equation of the axis of symmetry?

a)

$y=5$

b)

$x=-2$

c)

$y=-2x+5$

d)

$y=-2x^2+5x+4$

42.

Does this graph have a minimum or a maximum?

a)

Minimum

b)

Maximum

c)

Neither

43.

Factor the expression. $x^2-11x+30$

a)

$\left(x-6\right)\left(x+5\right)$

b)

$\left(x-3\right)\left(x-10\right)$

c)

$\left(x-6\right)\left(x-5\right)$

d)

$\left(x-10\right)\left(x+3\right)$

44.

Factor the expression. $x^2+14x+49$

a)

Cannot be factored

b)

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

c)

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

d)

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

45.

Factor the expression. $x^2-64$

a)

$\left(x-8\right)^2$

b)

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

c)

$\left(x+8\right)^2$

d)

$\left(x+2\right)\left(x-32\right)$

46.

Factor the expression. $6x^2+23x+20$

a)

$\left(6x-2\right)\left(x+10\right)$

b)

$\left(2x+10\right)\left(3x+2\right)$

c)

$\left(6x+4\right)\left(x+5\right)$

d)

$\left(3x+4\right)\left(2x+5\right)$

47.

Solve the equation. $x^2-3x-40=0$

a)

$x=-5\ and\ x=8$

b)

$x=10\ and\ x=-4$

c)

$x=3\ and\ x=-1$

d)

No Solution

48.

Solve the equation. $4x^2-19x-5=0$

a)

$x=-\frac{1}{4}\ and\ x=5$

b)

$x=4\ and\ x=-\frac{1}{5}$

c)

$x=-4\ and\ x=-5$

d)

$x=\frac{1}{4}\ and\ x=\frac{1}{5}$

49.

Which function is this?

a)

constant

b)

quadratic

c)

absolute value

d)

cubic

50.

Which equation graphs a linear function?

a)

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

b)

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

c)

$f\left(x\right)=\left|x\right|$

d)

$f\left(x\right)=c$

51.

Which equation is graphed?

a)

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

b)

$f\left(x\right)=\sqrt[]{x}$

c)

$f\left(x\right)=\left|x\right|$

d)

$f\left(x\right)=x^3$

52.

Which equation is the constant function?

a)

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

b)

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

c)

$f\left(x\right)=c$

d)

$f\left(x\right)=\sqrt[]{x}$

53.

Which equation is graphed?

a)

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

b)

$f\left(x\right)=\sqrt[]{x}$

c)

$f\left(x\right)=\left|x\right|$

d)

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

54.

What equation is graphed?

a)

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

b)

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

c)

$f\left(x\right)=\sqrt[3]{x}$

d)

$f\left(x\right)=x^3$

55.

What equation is graphed?

a)

$f\left(x\right)=x^3$

b)

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

c)

$f\left(x\right)=\sqrt[3]{x}$

d)

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

56.

What equation is graphed?

a)

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

b)

$f\left(x\right)=\frac{1}{x}$

c)

$f\left(x\right)=x^3$

d)

$f\left(x\right)=\sqrt[3]{x}$

57.

a)

A

b)

B

c)

C

d)

D

58.

Solve and Graph

a)

A

b)

B

c)

C

d)

D

59.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

60.

What are the x-intercept?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

61.

Name the y-intercept.

a)

(-4,4)

b)

(0,4)

c)

(-2,0)

d)

(0,0)

62.

What are the x-intercepts of the following equation?
y=(x-6)(x-2)

a)

x=-6 and x=-2

b)

x=2 and x=6

c)

x=12 and x=-12

d)

x=-2 and x=6

63.

Solve by completing the square.
$x^2-4x-5=0$

a)

$x=\left\{-5,\ 1\right\}$

b)

$x=\left\{-1,\ 5\right\}$

c)

$x=\left\{-5,\ -1\right\}$

d)

$x=\left\{1,\ 5\right\}$

64.

Find the product.

(m - 8)(m - 9)

a)

m²-17m+72

b)

m²-17m-72

65.

Multiply

a)

A

b)

B

c)

C

d)

D

66.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

67.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

d)

Shifted right 5, shifted down 2

68.

Which of these equations shifts a radical equation right 5 times and down once?

a)

y = √(x - 5) - 1

b)

y = √(x + 5) - 1

c)

y = √(x - 5) + 1

d)

y = √(x + 5) + 1

69.

Which equation matches the transformation described?

a)

b)

c)

d)

70.

Describe the transformation of the equation below from the absolute value parent function
$y=-2\left|x-3\right|+3$

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

71.

Write the equation for a graph that is vertically compressed by a factor of $\frac{2}{5}$ and shifted right 6.

a)

$y=6\left|x\right|-\frac{2}{5}$

b)

$y=\frac{2}{5}\left|x\right|+\ 6$

c)

$y=\frac{2}{5}\left|x+6\right|$

d)

$y=\frac{2}{5}\left|x-6\right|$

72.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

73.

What are the missing values if g(x)=f^-1(x)?

a)

(9,-5)

b)

(-9,-5)

c)

(5,9)

d)

(-9,5)

74.

f(x) = -4x - 12

What is f^-1(x)?

a)

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

b)

$f^{-1}\left(x\right)=-\frac{1}{4}x-3$

c)

$f^{-1}\left(x\right)=\frac{1}{4}x+3$

d)

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

75.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

76.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

77.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

78.

Solve for x
l 3x + 2 l = 5

a)

x = -2.333... and x = 1

b)

x = 4 and x = 8

c)

x = 0

d)

No Solution

79.

What is the absolute value of | 8 |?

a)

8

b)

-8

c)

0

d)

16

80.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

81.

y=|x+2|+1

a)

A

b)

B

c)

C

d)

D

82.

y=|x|−4

a)

A

b)

B

c)

C

d)

D

83.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

84.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

85.

What is the solution to the equation -4 = 1 + 7b - 2b?

a)

b = 2

b)

b = 3

c)

b = 4

d)

b = -1

86.

What is the solution to the equation 1 - 8x = -2x − 6x + 1-?

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 5

87.

What is the solution to the inequality 15 < 7 + 8n?

a)

n > 4

b)

n > 1

c)

n > 2

d)

n > 3

88.

What is the factorization of the expression v² + 11v + 10?

a)

(v + 4)(v + 7)

b)

(v + 3)(v + 8)

c)

(v + 2)(v + 9)

d)

(v + 1)(v + 10)

89.

What is the solution to the equation 3x - 9 = 0?

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

90.

What is the value of 'n' in the equation 2n + 6 = 10?

a)

n = 1

b)

n = 2

c)

n = 3

d)

n = 4

91.

Factor

a)

A

b)

B

c)

C

d)

D

92.

a)

A

b)

B

c)

C

d)

D

93.

Simplify the expression

a)

10x + 65

b)

5x + 13

c)

10x + 13

d)

2x + 65

94.

a)

6x+6

b)

5x+18

c)

6x+12

d)

6x+18

95.

Identify the error:

1) 2(x - 4)

2) 2x - 4

a)

They did not add 2 and -4.

b)

They did not subtract 2 and -4.

c)

They did not divide 2 and -4.

d)

They did not multiply 2 and -4.

96.

Complete the box.

a)-6x

b)2x

c)

x^2

d)6x

e)-2x

f)-12

1

2

3

4

1)

2)

3)

4)

97.

Complete the box.

a)7

b)-3

c)

x^2

d)10x

e)-3x

f)-30

1

2

3

4

1)

2)

3)

4)

98.

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

(Put the first binomial on top.)

(Pon el primer binomio arriba).

a)x

b)-3

c)2x

d)+2

1

2

3

4

1)

2)

3)

4)

99.

Multiply binomials using box method (2x +1) (x - 3).

a)

2x³ -4x +3

b)

2x + 5x -3

c)

2x² -5x -3

d)

2x -6x + 2

100.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

Hoang's Algebra 2 Midterm Exam

Total questions: 100

Worksheet time: 4hrs 35mins

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