Free Printable Honors Algebra II Final Exam Review

1.

Multiply $\frac{x^2-4}{16x^2}\cdot\frac{32x}{x+2}$

a)

$\frac{2\left(x-2\right)}{x}$

b)

$4$

c)

$\frac{x-2}{2x}$

d)

$\frac{\left(x+4\right)}{x}$

2.

What does the model P=A(1+r)^t best represent?

a)

Exponential growth

b)

Simple Interest

c)

Compound Interest

d)

Exponential Decay

3.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

4.

What is the pattern you see in this table?

a)

Common Ratio = 1/3

b)

Common Difference = 8

c)

Common Ratio = 3

d)

Common difference = 3

5.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

6.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

7.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

a)

$23,219.72

b)

$136.72

c)

$51,710.94

d)

$16,710.94

8.

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

a)

356

b)

265

c)

5825

d)

1329

9.

Write the explicit formula for the geometric sequence.

a)

a_n = 10(2)^n-1

b)

a_n = 2(10)^n-1

c)

a_n = 10(2)ⁿ

d)

a_n = 2(10)ⁿ

10.

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

a)

t(n) = (125)(5)⁽ⁿ⁾

b)

t(n) = 625(1/5)⁽ⁿ⁾

c)

t(n) = 625(5)⁽ⁿ⁾

d)

t(n) = 125 + 5n

11.

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

a)

a_n = a_n-1 x 3

b)

a_n = 5(3)^n-1

c)

a_n = 3(5)^n-1

d)

a_n = 5 + (n-1)3

12.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

13.

Which of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

a)

±1, ±7, ±1/3, ±7/3

b)

±1, 7

c)

±1, ±3, ±7, ±7/3

d)

±1, ±3, ±7, ±1/3, ±7/3

14.

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

15.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

16.

According to the Rational Root Theorem, what are the all possible rational roots?
2x³ - 11x² + 12x + 9 = 0

a)

±1,±2

b)

±1,±3,±9

c)

±1,±3±9,±1/2,±3/2,±9/2

d)

±1,±2,±1/3,±2/3,±1/9,±2/9

17.

Solve:

log (x - 1) - log (x - 2) = log 5

a)

7

b)

4/9

c)

9/4

d)

1/7

18.

log₅x - log₅(x+4)=log₅38

a)

-152/37, -8

b)

1/2

c)

-152/37

d)

No Solution

19.

Write as a single log: log 12 + 2 log x

a)

log (12 + 2x)

b)

log (14x)

c)

log (12 * 2x)

d)

log (12x²)

20.

Solve

log₂(x + 5) = 3

a)

3

b)

4

c)

5

d)

6

21.

Solve

log₂(x + 2) + log₂x = 3

a)

-4, 2

b)

-2, 4

c)

2

d)

1

22.

Solve

2³ⁿ = 4

a)

2

b)

3

c)

2/3

d)

4

23.

Solve

14^4-6x= 11

(round to the nearest tenth)

a)

5

b)

0.5

c)

0.1

d)

1

24.

Solve 8 = 2^5x+7

a)

x = ⅘

b)

x = ¼

c)

x = -⅘

d)

x = -¼

25.

Barium-122 has a half-life of 2 minutes. A fresh sample weighing 80 g was obtained. If it takes 10 minutes to set up an experiment using barium-122, how much barium-122 will be left when the experiment begins?

a)

0.25g

b)

2.5g

c)

25g

d)

80g

26.

Expand $\log_2\left(3y^2\right)$

a)

$\log_2\left(3\right)\ +\ \log_2\left(y\right)$

b)

$2\log_2\left(3\right)\ +\ 2\log_2\left(y\right)$

c)

$\log_2\left(3\right)\ +\ 2\log_2\left(y\right)$

d)

$\log_2\left(\frac{3}{y^2}\right)\$

27.

Expand.

a)

A

b)

B

c)

C

d)

D

28.

Solve for the constant of variation, k. (Use / for the fraction bar)

z varies jointly as x and y. x=3, when y=-8 and z=6.

(a)

29.

The price P of an aluminum tube is varies jointly to its radius r and the length l. If a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius? (Write your final answer without comma in the form: (a) pesos)

30.

If x varies inversely as the square root of y, and x = 9 when y = 121, find x when y = 81.

a)

7

b)

11

c)

13

d)

17

31.

The current in a simple electrical circuit is inversely proportional to the resistance. If the current is 80 amps when the resistance is 50 ohms, find the current when the resistance is 22 ohms.

a)

90 amps

b)

100 amps

c)

105 amps

d)

120 amps

32.

Write the given statement in a mathematical equation.

Interest (I) varies jointly as the principal (P) amount deposited, and the rate (r) and time (t) of the deposit.

a)

I = kPrt

b)

P = kIrt

c)

T = kPIt

d)

r = kPIt

33.

a)

A

b)

B

c)

C

d)

D

34.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

35.

Divide the Rational Expression. When you divide fractions you multiply by the reciprocal.

a)

A

b)

B

c)

C

d)

D

36.

Divide

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

37.

The number of bacteria on a piece of food on the floor doubles after 10 seconds. The piece of food starts with 45 bacteria on it.

Determine the number of seconds, to the nearest second, will pass until there are 475 cells of bacteria on the piece of food.

(a)

38.

A certain car loses half of its value every 5 years.

How many years will the computer be worth 12.5% of its initial value?

a)

3 years

b)

5 years

c)

10 years

d)

15 years

39.

A certain car loses half of its value every 5 years.

If the value of the car after 8 years is $12,450, what was the initial value of the car?

a)

$24,900

b)

$19,920

c)

$37,741

d)

$4,107

40.

Solve for p
$SA\ =hp\ +\ 2B$

a)

$\frac{SA-2B}{h}=p$

b)

$\frac{SA}{h}-2B=p$

c)

$\frac{SA-h}{2B}=p$

d)

$SA-2B-h=p$

41.

$3y\ =\ 2g\left(x+h\right)\ \ solve\ for\ x$

a)

$x\ =\ \frac{3y+h}{2g}$

b)

$x\ =\ \frac{3y-h}{2g}$

c)

$x\ =\ \frac{3y}{2g}+h$

d)

$x\ =\ \frac{3y}{2g}-h$

42.

Find the inverse of $f\left(x\right)=x^2+5$

a)

$f^{-1}\left(x\right)=x-25$

b)

$f^{-1}\left(x\right)=\pm\sqrt{5+x}$

c)

$f^{-1}\left(x\right)=\pm\sqrt{x-5}$

d)

$f^{-1}\left(x\right)=\pm\sqrt{x}-5$

43.

Will the inverse of this function, be a function?

a)

No

b)

Yes

c)

No way to tell

44.

What is the linear function that an inverse graph will reflect across?

a)

y = x

b)

y = 0

(the x-axis)

c)

x = 0

(the y-axis)

d)

y = 1

45.

Are these inverse functions

a)

no

b)

yes

c)

no way to tell

46.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

47.

Find the inverse of $f\left(x\right)=2\left(x+2\right)^2-10$

a)

$f^{-1}\left(x\right)=-2\pm\sqrt[]{\frac{x+10}{2}}$

b)

$f^{-1}\left(x\right)=-2\pm\frac{\sqrt{2x+20}}{2}$

c)

$f^{-1}\left(x\right)=-2\pm\frac{\sqrt{2x+20}}{2}$

d)

$f^{-1}\left(x\right)=-2\pm\frac{\sqrt{x+10}}{2}$

48.

Find the inverse of $j\left(x\right)=x^2+8x+5$

a)

$j^{-1}\left(x\right)=-4\pm\sqrt{x+11}$

b)

$j^{-1}\left(x\right)=-4\pm\sqrt{x+43}$

c)

$j^{-1}\left(x\right)=4\pm\sqrt{x+11}$

d)

$j^{-1}\left(x\right)=4\pm\sqrt{x+43}$

49.

f(x) = -3x⁵ + 5x⁴ - 7x³ + 2x - 12

a)

UP and UP

b)

DOWN and DOWN

c)

UP and DOWN

d)

DOWN and UP

50.

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

51.

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

52.

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

53.

What is the end-behavior of the function
y = -x³ + 6x² + 7x

a)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> -∞

b)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> ∞

c)

as x->-∞ f(x) -> -∞
as x-> ∞ f(x) -> ∞

d)

as x-> -∞ f(x) -> -∞
as x-> ∞ f(x) -> -∞

54.

What is the degree of the following polynomial?

y\ =\ \left(x-2\right)\left(x+4\right)^2\left(x+8\right)^4

a)

4

b)

6

c)

7

d)

2

55.

What is the degree of the following polynomial?

y\ =\ 6x^3\left(x-3\right)\left(x+4\right)^4\left(6-x\right)^2

a)

9

b)

10

c)

11

d)

12

56.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

57.

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 3

c)

2, -7 multiplicity 3

d)

2, -7, 3

58.

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

a)

(x + 5)³(x - 9)²(x + 2)(x - 4)

b)

(x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷

c)

(x + 5)³(x - 9)²(x + 2)

d)

(x + 5)(x - 9)(x + 2)(x - 4)

59.

What is the change in the graphs from f(x) to g(x)?

f\left(x\right)=\log_8x

to

g\left(x\right)=\log_8\left(x+9\right)-7\

a)

Right nine and down seven

b)

Left nine and down seven

c)

Left nine and up seven

d)

Right nine and up seven

60.

$What\ is\ the\ graph\ of\ the\ function;\ f\left(x\right)=\log_9\left(x-5\right)+3?$

a)

b)

c)

d)

61.

What is the equation of the asymptote?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

62.

How are exponentials and logarithms related?

a)

They're cousins

b)

They're inverses

c)

They're not related

d)

They're reciprocals

63.

What is the range?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

64.

What is the domain?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

65.

A BOBO graph has a Horizontal Asymptote at:

a)

It does not have an HA

b)

y = 0

c)

y = 2

d)

y = 1

66.

An EATS DC graph has a Horizontal Asymptote at

a)

It does not have one

b)

It depends on the coefficients

c)

y = 1

d)

y = 0

67.

A BOTN graph as a Horizontal Asymptote at

a)

y = 0

b)

y = 1

c)

y = 2

d)

It does not have an HA

68.

This rational function is a:

a)

BOBO

b)

BOTN

c)

EATS DC

d)

Linear

69.

What is the vertical asymptote for the equation $f\left(x\right)=\frac{\left(x-1\right)\left(2x+5\right)}{x+8}$

a)

x = 8

b)

x = 1

c)

x = 1 and x = -5/2

d)

x = -8

70.

What are the x-intercepts for the function $f\left(x\right)=\frac{\left(x-2\right)\left(x+6\right)}{x-9}$

a)

x = 9

b)

x = 2, x = 9

c)

x = 2 and x = -6

d)

x = -2 and x = 6

71.

What is the horizontal asymptote for the equation $f\left(x\right)=\frac{x^2+2x-7}{x^2-6x+9}$

a)

y = 0

b)

y = 1

c)

y = $\frac{7}{9}$

d)

There is no horizontal asymptote.

72.

What is the slant asymptote for the equation $f\left(x\right)=\frac{x^2-5x+7}{x+3}$

a)

$x=y+8$

b)

y = 8

c)

$y=x-8$

d)

$y=x+7$

73.

Where is the removable discontinuity for the equation $f\left(x\right)=\frac{x-2}{\left(x-2\right)\left(x+4\right)}$

a)

(2, 1/6)

b)

(-2, 1/2)

c)

(4, 1/2)

d)

There is no removable discontinuity.

74.

Identify the Slant Asymptote for this function.

a)

y = 5x - 7

b)

y = 5x + 13

c)

y = 5x + 3

d)

y = 5x + 7

75.

Which of the following functions does NOT have a removable discontinuity?

a)

$f\left(x\right)=\frac{x^2+10x+16}{x-4}$

b)

$f\left(x\right)=\frac{x-10}{x^2+10x+9}$

c)

Both of these have a hole

d)

Neither of these has a hole

76.

The following equation: $f\left(x\right)=\frac{x^2-5x-6}{x-2}$ Has a removable discontinuity when...

a)

x=4

b)

x=1

c)

x=2

d)

x=-2

e)

It does not has one.

77.

Exponential Functions have a

a)

Horizontal Asymptote

b)

Linear Asymptote

c)

Vertical Asymptote

d)

Diagonal Asymptote

78.

Rewrite the equation $\log_{\frac{1}{3}}81=-4$

a)

$\frac{1}{3}^{-4}=81$

b)

$-4^{\frac{1}{3}}=81$

c)

$\log_{-4}81=\frac{1}{3}$

79.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

80.

The asymptote of y = 2^x+5 will shift...

a)

up five to y = 5

b)

down five to y = -5

c)

will not shift and remain y = 0

81.

The asymptote of y = 2^x + 4 will shift...

a)

up four to y = 4

b)

down four to y = -4

c)

not shift at all and remain y = 0

82.

a)

b)

c)

d)

83.

Simplify:

$\frac{5x}{2x-3}-\frac{4x^2}{3x+1}$

a)

no solution

b)

$\frac{-8x^3+27x^2+5x}{\left(2x-3\right)\left(3x+1\right)}$

c)

$\frac{-8x^3+3x^2+5x}{\left(2x-3\right)\left(3x+1\right)}$

d)

$\frac{7x^2+17x}{\left(2x-3\right)\left(3x+1\right)}$

84.

Simplify:

$\frac{6}{2x+3}-\frac{8}{x-1}$

a)

$\frac{-10x+18}{\left(x-1\right)\left(2x+3\right)}$

b)

$\frac{-10x-30}{\left(x-1\right)\left(2x+3\right)}$

c)

$\frac{22x+18}{\left(x-1\right)\left(2x+3\right)}$

d)

$\frac{22x+30}{\left(x-1\right)\left(2x+3\right)}$

85.

8x³ + 27

a)

(3x - 2)(9x² + 6x + 4)

b)

(3x - 1)(9x² + 3x + 1)

c)

(2x + 3)(4x² - 6x + 9)

d)

(2x - 1)(4x² + 2x + 1)

86.

2x⁴ + 54x

a)

2x(x + 3)(x² - 3x + 9)

b)

2(x + 2)(x² - 2x + 4)

c)

2x(x³ + 27)

d)

2x(x - 3)(x² + 3x + 9)

87.

Simplify.
$\frac{12a^2b^8}{24a^4b^2}$

a)

$\frac{1}{2a^2b^6}$

b)

$\frac{b^6}{2a^2}$

c)

$2a^2b^6$

d)

$\frac{2b^6}{a^2}$

88.

$\ln\left(\frac{2x^2y}{z^4}\right)$

a)

ln2+2lnx+lny+4lnz

b)

ln2+2lnx+lny-4lnz

c)

2ln(2xy)-4lnz

d)

2ln2x+lny-4lnz

89.

Expand: $\log_9\sqrt{23}$

a)

$\frac{1}{2}\log_923$

b)

$\log_9\left(\frac{1}{2}\right)-\log_923$

c)

$\log_9\sqrt{2}+\log_9\sqrt{3}$

d)

$\log_9\ \left(\frac{1}{2}\right)+\log_923$

90.

Rewrite 1.6^(x+2) = 14.1

a)

log_1.614.1 = x+2

b)

log_1.6(x+2) = 14.1

c)

log_14.1(x+2) = 1.6

d)

log_(x+2)1.6 = 14.1

91.

Rewrite log_x95 = 2.3

a)

x^2.3 = 95

b)

95^2.3 = x

c)

2.3⁹⁵ = x

d)

x⁹⁵= 2.3

92.

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

a)

log₂ (x - 4) when x = 4

b)

log₃ (x+3) when x = 0

c)

-2log₅ (x-1) when x = 0

d)

¹/₂log (x+4) when x = -2

93.

$\left(\frac{1}{5}\right)^{\left(x-2\right)}=125^{\left(2x-5\right)}$
What would be the BEST first step in solving the equation?

a)

Divide by 125

b)

Use expansion to "bring the exponents down"

c)

Set the exponents equal to each other

d)

Rewrite the bases as powers of 5

94.

Solve for x

a)

3

b)

4

c)

9

d)

27

95.

a)

2.6

b)

.88

c)

1.14

d)

.57

96.

a)

.77

b)

3.83

c)

2.83

d)

1.83

97.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

98.

Describe the transformations from the parent function y=log₆x to y = - log ₆ (x - 1) - 5

a)

Reflection about the x-axis; shift left one and up five

b)

Reflection about the x-axis; shift left one and down five

c)

Reflection about the y-axis; shift right one and down five

d)

Reflection about the x-axis; shift right one and down five

99.

What type of roots does the polynomial have?

a)

Three real

b)

One real, and two imaginary

c)

Two real, and one imaginary

d)

Three imaginary

100.

Which of the following would be the correct factored form with roots 2, 5i, and 6?

a)

(x-6)(x-2)(x+5i)(x-5i)

b)

(x+6)(x+2)(x+5i)

c)

(x-6)(x-2)(x-5i)

d)

(x+6)(x+2)(x-5i)

101.

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)}$

a)

No vertical asymptotes.

b)

One vertical asymptote: x = 4

c)

Two vertical asymptotes: x = -3 and x = -7

d)

Three vertical asymptotes: x = -3, x = 4, and x = -7

102.

Find the vertical asymptote.

g\left(x\right)=\frac{\left(x+3\right)\left(x-2\right)}{\left(x+5\right)\left(2x-1\right)}

a)

x=-5

b)

x=1/2

c)

x=-1/2

d)

x=-3

e)

x=2

103.

$f\left(x\right)=\frac{\left(x+7\right)\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-5\right)}$

Select all of the true statements.

a)

A hole occurs where x=3

b)

vertical asymptote at x=3

c)

vertical asymptote at x=5

d)

A hole occurs where x=5

104.

$h\left(x\right)=\frac{x\left(x-3\right)\left(x-6\right)\left(x+3\right)}{3x\left(x+3\right)\left(x-6\right)\left(x+7\right)}$

Identify the x-value of the hole(s).

a)

x=0

b)

x=-3

c)

x=6

d)

x=-7

e)

x=3

105.

Simplify

\frac{\frac{x}{25}+\frac{x}{5}}{\frac{5}{x}}

a)

$\frac{25x^2}{400+4x}$

b)

$\frac{6x^2}{125}$

c)

$\frac{400x}{x^3-16}$

d)

$\frac{x^2+x^3}{625}$

106.

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

a)

48 minutes

b)

50 minutes

c)

24 minutes

d)

12 minutes

107.

Describe the transformation.

a)

Reflect over x-axis, left 3, up 3

b)

Reflect over x-axis, right 3, up 3

c)

Reflect over y-axis, left 3, up 3

d)

Reflect over x-axis, right 3, down 3

108.

Find the coordinates of the hole.

a)

(-3, -3)

b)

(-3, 3)

c)

(3, -3)

d)

(3, 3)

109.

What is the domain?

a)

All real numbers

b)

All real numbers except 4

c)

All real numbers except 2

d)

All real numbers except 2 and -2

110.

Describe the transformations of the function.

a)

Shift up by 2 units

Reflected over the x-axis

b)

Shift down by 2 units

Reflected over the y-axis

c)

Shift up by 2 units

Reflected over the y-axis

d)

Shift left by 2 units

Reflected over the x-axis

111.

Dan can wash the tables in 20 minutes while David can wash them in 12 minutes. What equation would you use to find the time it would take both boys to wash the tables if they work together?

a)

$20x-12x=1$

b)

$20x+12x=1$

c)

\frac{x}{20}+\frac{x}{12}=1

d)

$\frac{x}{20}-\frac{x}{12}=1$

112.

What is the equation of the graph?

a)

b)

c)

d)

113.

When air is pumped into a tire, the pressure required varies inversely as the volume of the air. If the pressure is 30 lb/in2 when the volume is 140 in3, find the pressure when the volume is 100 in3.

a)

8.4 lb/in^2

b)

4.2 lb/in^2

c)

84 lb/in^2

d)

42 lb/in^2

114.

a)

1

b)

0

c)

-1

d)

((x-2)(x+3))/((x+1)(x-5))

115.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

116.

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

117.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

118.

The total area of the playground, the larger rectangle, is
16x² − 5x + 2. The area of the play area, the smaller rectangle, is 10x² + 3x − 1. Write an expression to represent the area of the sidewalk.

a)

6x² − 8x + 3

b)

16x² − 8x + 3

c)

16x² − 2x + 1

119.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

120.

(2x + 3)(x² + 4x + 1)

a)

2x³ + 10x² + 14x + 4

b)

2x³ + 11x² + 14x + 3

c)

-2x³ - 11x² + 14x + 5

d)

x³ - 11x² + 14x + 3

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function?

a)

yes

b)

no

124.

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x³ term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

125.

What is the LCD for $\frac{2}{x}+\frac{5}{x+3}=\ \frac{1}{x}$ ?

a)

$x^2$

b)

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

c)

$x+3$

d)

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

126.

Which of the following equations makes the most sense for the following situation: Jerry works twice as fast as Kenny. If Jerry works for 2 hours and is then joined by Kenny...and they work an additional 3 hours...how fast could they each do the job alone?

a)

$\frac{5}{x}+\frac{3}{2x}=1$

b)

$\frac{5}{2x}+\frac{3}{x}=1$

c)

$\frac{x}{3}+\frac{2x}{5}=1$

d)

$\frac{5}{x}+\frac{3}{x-2}=1$

127.

The time it takes for a canoe to go 4 miles upstream and back 4 miles downstream is 5 hours. The current in the lake is 2 mile per hour. Find the average speed (rate) of the canoe in still water.

a)

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

b)

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

c)

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

d)

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

128.

Solve. (3x - 5)^1/4+ 3 = 4

a)

4/3

b)

2

c)

-2

d)

-4/3

129.

Solve for x:
(x + 2)^1/2 - 5 = -2

a)

1

b)

5

c)

7

d)

9

130.

Solve.

a)

x = -7, x = -2

b)

x = 7, x = 2

c)

x = - 7/4

d)

no solution

131.

Which function matches the graph?

a)

A

f(x) = ∛(x + 3) + 2

b)

B

f(x) = − ∛(x - 3) + 2

c)

C

f(x) = ∛(x - 3) + 2

d)

D

f(x) = ∛(x - 2) + 3

132.

Which function matches the graph?

a)

A

f(x) = √(x - 1) + 3

b)

B

f(x) = − √(x + 1) + 3

c)

C

f(x) = √(-x + 1) + 3

d)

D

f(x) = − √(x + 3) − 1

133.

What transformations have occurred to get from the parent function f(x) to the transformed function g(x)?

a)

reflection over the x-axis,vertical shrink by a factor of -5

b)

reflection over the x-axis,vertical shrink by a factor of 1/5

c)

reflection over the x-axis,vertical stretch by a factor of 5

d)

reflection over the y-axis,vertical stretch by a factor of 5

134.

What is the equation of this table?

a)

y=512(1/4)^x

b)

y=32(4)^x

c)

y=32(1/4)^x

d)

y=512(4)^x

135.

Use the exponential regression to find an equation that fits the data, where x is the years since 1990.

a)

y=8.92•1.23^x

b)

y=1.23•8.92^x

c)

y=8.92+1.23x

d)

y=8.92x+1.23

136.

Write the exponential regression equation for the data.

a)

Y=8.16(2.7)^x

b)

Y=81.6(2.7)^x

c)

Y=8.16(.27)^x

d)

Y=8.16(27)^x

137.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

138.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

139.

which sequence has a common ratio of -2?

a)

4, 8, 16, 32

b)

4, -8, 16, -32

c)

32, 16, 8, 4

d)

-32, 16, -8, 4

140.

Is the table linear, exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

141.

Is the Equation Linear, Exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

142.

This table represents what kind of function?

a)

Linear

b)

Exponential Growth

c)

Exponential Decay

d)

Quadratic

Honors Algebra II Final Exam Review

Total questions: 142

Worksheet time: 7hrs 18mins

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