Free Printable Algebra II Midterm Exam Review

1.

On which interval(s) is the given function increasing?

a)

(-∞, 2) , (-2, ∞)

b)

(-2, 2) , (-2, ∞)

c)

(-∞, -2) , (0.5, ∞)

d)

(0, 2) , (0.5, ∞)

2.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

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

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

3.

The blue dot on this graph represents a(n)...

a)

Absolute Maximum

b)

Absolute Minimum

c)

Relative Maximum

d)

Relative Minimum

4.

Where are the relative maximums on the graph? Choose all correct answers.

a)

(-1.184, 8.2)

b)

(2.037, 20.019)

c)

(-2, 0)

d)

(3, 0)

e)

(-0.104, 5.949

5.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

6.

Find the root(s) of the function.

a)

x = 3

b)

x = {-3, -1, 2}

c)

x = {-3, 2}

d)

x = -1

7.

Name the x-intercept(s)?

a)

(0, 0)

b)

(2, 4)

c)

(0, 0) and (0, 4)

d)

(0, 0) and (4, 0)

8.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

9.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

10.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

11.

What is an example of an irrational number?

a)

-2/3

b)

.75575557654..

c)

23

d)

0

12.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

13.

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

14.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

15.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

16.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

17.

$\sqrt{-4}$

a)

2i

b)

-2i

c)

2

d)

4i

18.

Solve:
$x^2-8x-20=0$

a)

$x=\left\{10,-2\right\}$

b)

$x=\left\{-10,\ 2\right\}$

c)

$x=\left\{\frac{8\pm\sqrt{12}}{2}\right\}$

d)

$x=\left\{6,1\right\}$

19.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

20.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

21.

A function has a discriminant of 25.
______________
How many solutions does it have?

a)

0

b)

1

c)

2

d)

5

22.

Complete the quadratic formula

Black question mark (a)

Blue question mark (b)

Red question mark (c)

Choose from the below words

$-b$

$b^2-4ac$

$2a$

$b$

$2b-4ac$

$b^2-4c$

$2$

$a^2$

$b^2-ac$

$2b$

23.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

24.

Match each discriminant with its number of solutions

a)

d = 0

1.

1 rational solution

b)

d = 36

2.

2 rational solutions

c)

d = 42

3.

2 irrational solutions

d)

d = -17

4.

2 imaginary numbers

25.

The point (0, 0) is a relative _____.

a)

maximum

b)

minimum

c)

neither

26.

Solve:

$x^2+25=0$

a)

$x=\left\{\pm\ 5\right\}$

b)

$x=\left\{\pm\ 5i\right\}$

c)

$x=\left\{\pm\ \sqrt[]{5}\right\}$

d)

$x=\left\{\pm\ i\ \sqrt[]{5}\right\}$

27.

What correctly fills in the blanks for the end behavior of the graph?

On the left, the graph is ______.

On the right, the graph is _____.

a)

rising

falling

b)

falling

rising

c)

rising

d)

falling

28.

What correctly fills in the blanks for the end behavior of the graph?

On the left, the graph is ______.

On the right, the graph is _____.

a)

rising

falling

b)

rising

c)

falling

d)

falling

rising

29.

Which of these points appears to be a relative maximum?

a)

(0, 0)

b)

(2, -4)

c)

(3, 0)

d)

$\infty$

30.

Factor by grouping.

x³- 5x²+ 8x - 40

a)

(x²+8)(x-5)

b)

(x²-5)(x+8)

c)

(x²+5)(x-8)

d)

(x²-8)(x+5)

31.

Which of the following graphs are functions? Choose ALL correct answers.

a)

b)

c)

d)

32.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

33.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

34.

What are the relative maximums and minimums of the graph?

a)

Max = (2, -3), (1, 2)

Min = (-3, -1), (-1, 4)

b)

Max = (-3, -1), (-1, 4)

Min = (2, -3), (1, 2)

c)

Max = (-1, -3), (4, -1)

Min = (-3, 2), (2, 1)

d)

Max = (-3, 2), (2, 1)

Min = (-1, -3), (4, -1)

35.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

36.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

37.

Factor completely: x²+16x+64

a)

$(x+4)(x+16)$

b)

$(x-8)(x-8)$

c)

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

d)

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

38.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

39.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

40.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

41.

The graph shows the parent function of what type of function?

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

42.

f(x) = IxI

is the parent function of what type of function?

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

43.

Which parent function is shown on the graph?

a)

Constant

b)

Linear

c)

Quadratic

d)

Absolute Value

44.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

45.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

1/6

c)

5/7

d)

25/26

46.

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

a)

9/182

b)

5/182

c)

2/91

d)

10/91

47.

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate and then a caramel?

a)

12/35 x 12/34

b)

16/35 x 12/34

c)

16/35 x 12/35

d)

12/35 x 16/34

48.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

49.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

50.

Which age group liked Action movies the least?

a)

18-25

b)

25-49

c)

50+

d)

238

Algebra II Midterm Exam Review

Total questions: 50

Worksheet time: 3hrs 11mins

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