Free Printable Algebra 2 MidTerm Review + Random Trivia

1.

A convergent sequence is.......

a)

A vertical asymptote

b)

A set of numbers that don't approach a specific value

c)

A set of numbers that stay constant

d)

A set of numbers that approach a specific value

2.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

3.

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

a)

160, 175, 190

b)

165, 185, 195

c)

155, 165, 175

d)

190, 175, 160

4.

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

a)

59048

b)

-29524

c)

524288

d)

3069

5.

Find the sum if possible

a)

16

b)

48

c)

36

d)

not possible

6.

Find the sum for the following series.

a)

44

b)

-162

c)

-682

d)

324

7.

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

a)

a_n = (3)^n-1 ; a₁=5

b)

a_n = (5)^n-1 ; a₁=3

c)

a_n = a_n-1+3 ; a₁=5

d)

a_n = a_n-1+5 ; a₁=3

8.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

9.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

10.

Find the common difference: a₂ = 6 and a₆ = -14

a)

-1

b)

-5

c)

-2

d)

2

11.

Find the common ratio (multiplier): a₁ = 4 and a₄ = 256

a)

84

b)

64

c)

4

d)

8

12.

Add the following polynomials:
(6n²- 7n⁴+8) + (6 + 8n + 4n⁴)

a)

-3n⁴+ 6n²+8n+14

b)

-n⁴-2n²+8n+7

c)

-n⁴ + 6n²+8n+7

d)

-3n⁴+ 6n²+8n+7

13.

Subtract the following polynomials:
(a³ - 2a²) - (-4a³ + 4a²)

a)

-5a⁶- 5a⁴

b)

5a³ - 2a²

c)

-2a³ - 6a²

d)

5a³ - 6a²

14.

(4a + 2)(6a² − a + 2)

a)

24a³ + 16a² + 6a + 4

b)

24a³ + 8a² + 10a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ - 8a² - 6a + 4

15.

Polynomial or not?

a)

polynomial

b)

not a polynomial

16.

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

a)

2

b)

-3

c)

5

d)

6

17.

a)

y = ^_(x + 2)(x - 1)²

b)

y = -(x - 2)(x + 1)²

c)

y = (x - 2)(x + 1)²

d)

y = -x³

18.

a)

y = x(x - 3)(x - 2)

b)

y = x(x - 3)²(x+2)

c)

y = x(x + 3)²(x - 2)

d)

y = -x(x + 3)²(x - 2)

19.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

20.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

21.

Is the leading coefficient positive or negative

a)

positive

b)

negative

22.

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

a)

-2, 3 (multiplicity 2), 4

b)

-2 (multiplicity 2), 3, 4

c)

2, -3 (multiplicity 2), -4

d)

2 (multiplicity 2), -3, -4

23.

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

a)

There is a zero at 2

b)

The graph will "bounce" off the x-axis at that zero

c)

The graph will "cross" the x-axis at that zero

d)

Double zeros don't exist

24.

Which root has a multiplicity of 2?

a)

-1

b)

2

c)

4

d)

-4

25.

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

a)

Left up Right up

b)

Left up Right down

c)

Left down Right up

d)

Left down Right down

26.

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

a)

UP-UP

b)

UP-DOWN

c)

DOWN-UP

d)

DOWN-DOWN

27.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

28.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

29.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient

a)

Leading Coefficient Positive
Degree - Even

b)

Leading Coefficient Positive
Degree - Odd

c)

Leading Coefficient Negative
Degree - Even

d)

Leading Coefficient Negative
Degree - Odd

30.

Divide: $\frac{2x^4-9x^3+21x^2-26x+12}{2x-3}$

a)

$x^3-3x^2+6x-4$

b)

$2x^3-6x^2+12x-8$

c)

$x^4-3x^3+6x^2-4x$

d)

$2x^4-6x^3+12x^2-8x^{ }$

31.

Divide: $\frac{x^4+2x^3+2x+4}{x+2}$

a)

$x^3+2x^2$

b)

$x^3+2$

c)

$x^3+4x^2+8x+18+\frac{42}{x+2}$

d)

$x^3+4x^2+10x+24$

32.

Divide: $\frac{5x^3-x^2+6}{x-4}$

a)

$5x^2-21x+84-\frac{330}{x-4}$

b)

$5x^2+19x+82$

c)

$5x^2+19x+76+\frac{310}{x-4}$

d)

$5x^2+19x+\frac{82}{x-4}$

33.

Divide: $\frac{3x^3-4x^2-9x+10}{x-2}$

a)

$3x^2+2x-5$

b)

$3x^3+2x^2-5x$

c)

$3x^2-10x^{ }-29-\frac{48}{x-2}$

d)

$3x^2-10x-29+\frac{48}{x-2}$

34.

Divide: $\frac{9x^3+12x^2+15x+4}{3x+1}$

a)

$9x^2+9x+12-\frac{8}{3x+1}$

b)

$3x^2+3x+12-\frac{8}{3x+1}$

c)

$9x^2+9x+12$

d)

$3x^2+3x+4$

35.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

36.

Use synthetic division:
(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

37.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

38.

What is the equation of the horizontal asymptote?

a)

y = 0

b)

y = -2

c)

y = 2

d)

There isn't one

39.

Find the x-intercept(s), if one exists.

a)

(1, 0)

b)

(-1, 0)

c)

(1, 0), (-1, 0)

d)

(0, 0), (1, 0)

40.

What is the equation of the slant asymptote?

a)

y = x + 1

b)

y = x + 2

c)

y = x + 3

d)

y = x

41.

What is the equation of the vertical asymptote?

a)

x = 3

b)

x = -3

c)

x = 0

d)

x = -2

42.

Find the y-intercept.

a)

(0, -2)

b)

(0, 2)

c)

(0, 4)

d)

it is undefined

43.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

44.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

45.

A vertical asymptote is found by setting the _________= to zero and solving for x

a)

Numerator

b)

Denominator

c)

Right side

d)

Left side

46.

How do you find the y-intercept?

a)

replace all x-values with 0

b)

replace all y-values with 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

47.

How do you determine the Horizontal Asymptote?

a)

replace all x-values with 0

b)

replace the y-value with 0 or make the numerator equal 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

48.

When finding the H.A., if the numerator degree is greater than the denominator degree, the answer is...

a)

y = 0

b)

none

c)

y =a / b

d)

What's an H.A.?

49.

$f\left(x\right)=\frac{\left(x-2\right)}{\left(x-3\right)\left(x-2\right)}$ Which of the following are true? (there can be more than one answer)

a)

There is a hole at x=3

b)

There is a hole at x= -2

c)

The horizontal asymptote is at y=0

d)

The domain is {x|x≠2,3}

50.

Solve for r

a)

5

b)

- 5, 4

c)

- 5

d)

5, 4

51.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

52.

Solve the equation for x.

a)

7

b)

6

c)

14

d)

0

53.

Solve!

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

54.

a)

36

b)

18

c)

-18

d)

27

55.

Solve.

a)

no solution

b)

6

c)

3

d)

4

56.

a)

5

b)

33

c)

85

d)

21

57.

Solve

a)

x= -9

b)

x= -2 and 3

c)

x= 5

d)

x= 0

58.

a)

x=7

b)

x=49

c)

No Solution

d)

x=16

59.

a)

x=19

b)

x= -30

c)

x= -9

d)

No Solution

60.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

61.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

62.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

63.

a)

b)

c)

d)

64.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

65.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

66.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

67.

Simplify:

a)

2

b)

8

c)

16

d)

32

68.

Simplify the following expression:

a)

2

b)

4

c)

16

d)

64

69.

a)

A

b)

B

c)

C

d)

D

70.

Rewrite in radical form.

a)

A

b)

B

c)

C

d)

D

71.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

72.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

73.

Factor:

5x³- 7x²

a)

x²(5x - 7)

b)

x(5x²- 7x)

c)

x³(5 - 7x)

d)

Prime

74.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

75.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

76.

Factor:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

77.

What are the factors of 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

78.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

79.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

80.

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

81.

How is the life cycle of a sea turtle similar to that of a bird?

a)

both go through metamorphosis

b)

both lay eggs

c)

both can fly

d)

both have parents that care for their young

82.

What is the function of a green sea turtle's serrated jaw?

a)

the blade-like jaw helps a green sea turtle rip into a fish's flesh

b)

the blade-like jaw helps steer a green sea turtle through the water

c)

the blade-like jaw helps protect a green sea turtle's internal organs

d)

the blade-like jaw helps a green sea turtle tear vegetation for food

83.

Some facts about sea turtles are listed below:

Fact 1: Sea turtles have four flippers.

Fact 2: Sea turtles return to the beaches where they hatched to reproduce.

Fact 3: Sea turtle bodies are covered with an upper and lower shell.

Which of the facts describe an inherited physical characteristic of a sea turtle?

a)

Fact 1 only

b)

Fact 2 only

c)

Facts 1 and 3 only

d)

Facts 1,2 and 3

84.

More than 400 species of sharks exist.

a)

Fact

b)

Opinion

85.

Sharks are the best animal.

a)

Fact

b)

Opinion

86.

Mako sharks can reach speeds of up to 65 mph. They can go as fast as a car.

a)

Fact

b)

Opinion

87.

What are the skeletons of sharks and rays made of?

a)

Chitin

b)

Calcium carbonate

c)

Cartilage

d)

Coldness

88.

What is the largest shark species?

a)

Basking shark

b)

Dogfish shark

c)

Whale shark

d)

Greenland shark

89.

A fin located on the back of most marine and freshwater vertebrates. It is used to help stabilize an animal as it swims through water. It is usually the fin that shows above the water when the animal is near the surface.

a)

caudal fin

b)

pectoral fin

c)

dorsal fin

d)

pelvic fin

90.

Whats the smallest shark

a)

cookie cutter shark

b)

dwarf lantern shark

c)

spiny dog fish

d)

leapord shark

91.

If you turn a shark over on its dorsal side, it will often “pass out.” This is called

a)

paralyzation

b)

stationary convergence

c)

sinus venosus

d)

tonic immobility

92.

What is the most common type of LEGO brick?

a)

2x6 brick

b)

2x2 brick

c)

2x4 brick

d)

1x1 brick

93.

When were LEGO Minifigures first introduced?

a)

1998

b)

1985

c)

1965

d)

1978

94.

What is the plural form of LEGO?

a)

LEGOS

b)

LEGO

c)

LEGOES

d)

LEGENT

95.

What was LEGO's first licensed "theme set"?

a)

Disney

b)

DC Comic Superheroes

c)

Star Wars

d)

NASA

96.

What's the 11th letter in the alphabet?

a)

M

b)

L

c)

K

d)

P

97.

There are ten years in a century.

a)

True

b)

False

98.

What color do you get when you mix red and blue?

a)

Green

b)

Purple

c)

Blue

d)

Brown

99.

How many rings make up the symbol of the Olympic Games?

a)

3

b)

5

c)

6

d)

7

100.

Arachnophobia is the fear of...

a)

confined spaces

b)

spiders

c)

water

d)

heights

Algebra 2 MidTerm Review + Random Trivia

Total questions: 100

Worksheet time: 5hrs 38mins

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