Free Printable Final Algebra 2 Benchmark REVIEW

1.

The quadratic formula can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

2.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

3.

Simplify √-48

a)

4i

b)

-4√3

c)

4i√3

d)

12i

4.

QUESTION 5

a)

A

b)

B

c)

C

d)

D

5.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

6.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

7.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

8.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

9.

Find the zero(s) of the function.

a)

x = {-4, 4}

b)

x = -4

c)

x = 4

d)

x = 0

10.

Simplify:
(3x - 5) ( 4x² - 2x - 3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

11.

Multiply: (6x² +x+1)(−6x² −6x−8)

a)

−6x⁴ −7x³−6x² −7x−8

b)

36x⁴ −42x³−60x² + 14x + 8

c)

−36x⁴ −42x³−60x² −14x−8

12.

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

a)

0

b)

1

c)

2

d)

3

13.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

14.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

15.

Divide using synthetic division

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

16.

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

a)

0

b)

10

c)

15

d)

-7

17.

What are the shifts of the graph

f\left(x\right)=\left(x-2\right)^3-8

from the parent graph of

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

?

a)

Left 2 and Up 8

b)

Right 2 and Up 8

c)

Left 2 and Down 8

d)

Right 2 and Down 8

18.

a)

1

b)

43

c)

8

d)

55

19.

Convert 4^x = 64 to a Log

a)

Log₆₄(x) = 4

b)

Log_x(64) = 4

c)

Log₄(64) = x

d)

Log₄(x) = 64

20.

Convert 16 = 2^x to a Log

a)

Log₂(x) = 16

b)

Log₂(16) = x

c)

Log₁₆(x) = 2

d)

Log_x(16) = 2

21.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

22.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

23.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

24.

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

25.

Find the Domain

a)

b)

c)

26.

Find the Domain

a)

b)

c)

27.

Find the range if domain is x > 4

a)

b)

c)

d)

28.

Find the range if domain is x > 4

a)

b)

c)

d)

29.

Which trigonometric ratio is correct?

a)

cosC= adj/hyp

b)

sinC= adj/hyp

c)

tanC= adj/hyp

d)

tanC=adj/opp

30.

Fill in the blank...
SOH ___ TOA

a)

COH

b)

CAH

c)

COA

d)

CHA

31.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

32.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

33.

What is the value of x?

a)

960

b)

30.98

c)

43.91

d)

14.24

34.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

35.

An airport randomly selects inspects every 8th suitcase that goes through security.

a)

Unbiased

b)

Biased

36.

To determine how many students plan to attend the school musical, Maria surveys 100 random people in the hallway.

a)

Biased

b)

Unbiased

37.

Which statement is true for the following function:

$f\left(x\right)=x^2+5x+4$

a)

The zeros are -4 and -1.

b)

The zeros are -3 and 5.

c)

The zeros are 1 and 4.

d)

The zeros are -5 and 3.

38.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

39.

Does the equation show an inverse variation?
y=10/x

a)

yes

b)

no

40.

What kind of variation does this equation show?
y = 6x

a)

Inverse Variation

b)

Direct Variation

c)

No Variation

d)

Joint Variation

41.

Evaluate $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$

a)

44

b)

$\frac{1}{3}$

c)

43

d)

49

42.

$Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}$

a)

-28,056

b)

-29,523

c)

-31,724

d)

-30,628

43.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

44.

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

a)

x²+x+9

b)

x²-x+9

c)

x²-x

d)

x²-x+18

45.

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

46.

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

47.

Which kind of sequence has a common difference?

a)

Arithmetic

b)

Geometric

48.

The individual numbers in a sequences are called...

a)

Common difference

b)

Successive term

c)

Term

d)

Geometric term

49.

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

a)

25

b)

20

c)

5

d)

4

50.

What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...

a)

5

b)

-5

c)

-6

d)

1/5

51.

Solve for x.

$\frac{2}{10}=\frac{10}{x}$

a)

$x=20$

b)

$x=50$

c)

$x=2$

d)

$x=5$

52.

Solve for x.

$\frac{6}{9}=\frac{2}{x-5}$

a)

$x=\frac{23}{6}$

b)

$x=\frac{11}{2}$

c)

x = 8

d)

x = -2

53.

Identify the extremes in the proportion below.

$\frac{2x-5}{9}=\frac{x+1}{4}$

Select all that apply.

a)

$2x-5$

b)

$9$

c)

$x+1$

d)

$4$

Final Algebra 2 Benchmark REVIEW

Total questions: 53

Worksheet time: 13hrs 15mins

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