Quiz about Algebra 2 MidTerm Review + Random Trivia

Question 1

A convergent sequence is.......

Accepted Answer

A set of numbers that approach a specific value

Answer

A vertical asymptote

Answer

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

Answer

A set of numbers that stay constant

Question 2

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 3

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

Accepted Answer

160, 175, 190

Answer

165, 185, 195

Answer

155, 165, 175

Answer

190, 175, 160

Question 4

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

Accepted Answer

-29524

Answer

59048

Answer

524288

Answer

3069

Question 5

Find the sum if possible

Accepted Answer

48

Answer

16

Answer

36

Answer

not possible

Question 6

Find the sum for the following series.

Accepted Answer

-682

Answer

44

Answer

-162

Answer

324

Question 7

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

Accepted Answer

a_n = a_n-1+5 ; a₁=3

Answer

a_n = (3)^n-1 ; a₁=5

Answer

a_n = (5)^n-1 ; a₁=3

Answer

a_n = a_n-1+3 ; a₁=5

Question 8

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 9

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

Accepted Answer

$320

Answer

$50

Answer

$35

Answer

$250

Question 10

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

Accepted Answer

-5

Answer

-1

Answer

-2

Answer

2

Question 11

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

Accepted Answer

4

Answer

84

Answer

64

Answer

8

Question 12

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

Accepted Answer

-3n⁴+ 6n²+8n+14

Answer

-n⁴-2n²+8n+7

Answer

-n⁴ + 6n²+8n+7

Answer

-3n⁴+ 6n²+8n+7

Question 13

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

Accepted Answer

5a³ - 6a²

Answer

-5a⁶- 5a⁴

Answer

5a³ - 2a²

Answer

-2a³ - 6a²

Question 14

Polynomial or not?

Accepted Answer

not a polynomial

Answer

polynomial

Question 15

Question 15.

Accepted Answer

y = -(x - 2)(x + 1)²

Answer

y = ^_(x + 2)(x - 1)²

Answer

y = (x - 2)(x + 1)²

Answer

y = -x3

Question 16

Question 16.

Accepted Answer

y = x(x + 3)²(x - 2)

Answer

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

Answer

y = x(x - 3)²(x+2)

Answer

y = -x(x + 3)²(x - 2)

Question 17

Which of the following correctly identifies the End Behavior?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 18

Which of the following correctly identifies the End Behavior?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 19

Is the leading coefficient positive or negative

Accepted Answer

positive

Answer

negative

Question 20

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

Accepted Answer

-2, 3 (multiplicity 2), 4

Answer

-2 (multiplicity 2), 3, 4

Answer

2, -3 (multiplicity 2), -4

Answer

2 (multiplicity 2), -3, -4

Question 21

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

Accepted Answer

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

Answer

There is a zero at 2

Answer

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

Answer

Double zeros don't exist

Question 22

Which root has a multiplicity of 2?

Accepted Answer

-1

Answer

2

Answer

4

Answer

-4

Question 23

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

Accepted Answer

Left down   Right up

Answer

Left up    Right up

Answer

Left up   Right down

Answer

Left down   Right down

Question 24

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

f(x) = 5x⁴ - x + 6

Accepted Answer

UP-UP

Answer

UP-DOWN

Answer

DOWN-UP

Answer

DOWN-DOWN

Question 25

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

Accepted Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Negative
Degree - Odd

Question 26

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

Accepted Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Answer

Leading Coefficient Negative
Degree - Odd

Question 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

Accepted Answer

Leading Coefficient Negative
Degree - Odd

Answer

Leading Coefficient Positive
Degree - Even

Answer

Leading Coefficient Positive
Degree - Odd

Answer

Leading Coefficient Negative
Degree - Even

Question 28

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 29

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

Accepted Answer

$$x^3+2$$

Answer

$$x^3+2x^2$$

Answer

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

Answer

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

Question 30

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

Accepted Answer

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

Answer

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

Answer

$$5x^2+19x+82$$

Answer

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

Question 31

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 32

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

Accepted Answer

$$3x^2+3x+4$$

Answer

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

Answer

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

Answer

$$9x^2+9x+12$$

Question 33

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

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 34

What is the equation of the horizontal asymptote?

Accepted Answer

y = -2

Answer

y = 0

Answer

y = 2

Answer

There isn't one

Question 35

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

Accepted Answer

(1, 0)

Answer

(-1, 0)

Answer

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

Answer

(0, 0), (1, 0)

Question 36

What is the equation of the slant asymptote?

Accepted Answer

y = x + 3

Answer

y = x + 1

Answer

y = x + 2

Answer

y = x

Question 37

What is the equation of the vertical asymptote?

Accepted Answer

x = -3

Answer

x = 3

Answer

x = 0

Answer

x = -2

Question 38

Find the y-intercept.

Accepted Answer

(0, 2)

Answer

(0, -2)

Answer

(0, 4)

Answer

it is undefined

Question 39

What's the horizontal asymptote of the function?

Accepted Answer

No horizontal asymptote

Answer

y = 0

Answer

y = 1

Answer

y = 9

Question 40

What's the vertical asymptote of the function?

Accepted Answer

x = -9

Answer

x = 9

Answer

x = 3 , x = -3

Answer

x = 3

Question 41

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

Accepted Answer

Denominator

Answer

Numerator

Answer

Right side

Answer

Left side

Question 42

How do you find the y-intercept?

Accepted Answer

replace all x-values with 0

Answer

replace all y-values with 0

Answer

set denominator equal to 0

Answer

compare the degrees of the numerator and denominator

Question 43

How do you determine the Horizontal Asymptote?

Accepted Answer

compare the degrees of the numerator and denominator

Answer

replace all x-values with 0

Answer

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

Answer

set denominator equal to 0

Question 44

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

Accepted Answer

none

Answer

y = 0

Answer

y =a / b

Answer

What's an H.A.?

Question 45

Solve for r

Accepted Answer

5

Answer

- 5, 4

Answer

- 5

Answer

5, 4

Question 46

Solve for x

Accepted Answer

5.5

Answer

1/3

Answer

-5.5

Answer

2.5

Question 47

Solve the equation for x.

Accepted Answer

0

Answer

7

Answer

6

Answer

14

Question 48

Solve!

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 8

Question 49

Question 49.

Accepted Answer

36

Answer

18

Answer

-18

Answer

27

Question 50

Solve.

Accepted Answer

6

Answer

no solution

Answer

3

Answer

4

Question 51

Question 51.

Accepted Answer

5

Answer

33

Answer

85

Answer

21

Question 52

Solve

Accepted Answer

x= 5

Answer

x= -9

Answer

x= -2 and 3

Answer

x= 0

Question 53

Question 53.

Accepted Answer

No Solution

Answer

x=7

Answer

x=49

Answer

x=16

Question 54

Question 54.

Accepted Answer

x= -9

Answer

x=19

Answer

x= -30

Answer

No Solution

Question 55

Simplify 4^-2=

Accepted Answer

1/16

Answer

-16

Answer

1/4

Answer

-42

Question 56

x6 / x2

Accepted Answer

x4

Answer

x12

Answer

x3

Answer

x8

Question 57

Question 57.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 58

-4x0

Accepted Answer

-4

Answer

-4x

Answer

1

Answer

-1

Question 59

Simplify:

Accepted Answer

8

Answer

2

Answer

16

Answer

32

Question 60

Simplify the following expression:

Accepted Answer

2

Answer

4

Answer

16

Answer

64

Question 61

Question 61.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 62

Rewrite in radical form.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 63

Factor
x²+ 9x - 36

Accepted Answer

(x + 12)(x - 3)

Answer

(x + 9)(x - 4)

Answer

(x - 12)(x + 3)

Answer

(x - 9)(x - 4)

Question 64

Factor:

5x³- 7x²

Accepted Answer

x²(5x - 7)

Answer

x(5x²- 7x)

Answer

x³(5 - 7x)

Answer

Prime

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