# Hon Algebra 2 Study Guide

HONORS ALGEBRA 2 B

1.

a.

d.

2.

a.

d.

a1 3,

Semester Exam Review

b.

b.

an 4 an1

an 3 4n 1

an 1 3 n 1 3n 2

c.

805,306,368

1,073,741,823

a1 1

an an 1 3

c.

178

5370

3.

4624.577 cm3

4.

2805 seats

5.

a.

6.

a.

3

7.

a.

81

b.

8.

a.

a 4b9

b.

1

3

17 3

7

b.

4

or

3

7

b.

4

1

9

x4

5

c.

24

5

c.

x 2 or

x

5

7

3

2

d

1

1

d.

x 15

x6

3

e.

i.

9.

x2

3x

g.

2x 6

h.

ab3

5

c2

1

x12

1

2a

a.

f.

27 128

y x3 5

y

x

MCPS 2011–2012

D: all real numbers greater than or equal to 3

R: all real numbers greater than or equal to 5

1

KEY

HONORS ALGEBRA 2 B

b.

Semester Exam Review

y 3 x5

y

D: all real numbers

R: all real numbers

x

10.

a.

Reflect the graph of f about the x-axis, then translate 5 units to the right.

b.

Translate the graph of f 8 units to the left and down 2 units.

c.

Reflect the graph of f about the y-axis, translate two units to the right and up 7 units OR translate two units to the left, translate 7 units up, and reflect over the y-axis

11.

9.2 seconds

12.

88.889 feet

13.

a.

d.

x 16

x 198

14.

a.

iii

15.

a.

y 4 x

y

b.

b.

e.

c.

v

x 32

x 16

i

d.

c.

iv

Ø, or no solution

e.

ii

y-intercept: 1

asymptote: y 0

D: all real numbers

R: all real numbers greater than 0

function is decreasing

x

MCPS 2011–2012

2

KEY

HONORS ALGEBRA 2 B

b.

y 4x 3

y

Semester Exam Review

y-intercept: 4

asymptote: y 3

D: all real numbers

R: all real numbers greater than 3

function is increasing

x

c.

2

y

3

y

x

y- intercept: 1

asymptote: y 0

D: all real numbers

R: all real numbers greater than 0

function is decreasing

x

16.

a.

b.

In 1920, the population was approximately 8,193.

In 1950, the population was approximately 17,185.

17.

There will be $7,325.98 in the account after 5 years.

18.

a.

b.

After 5 years the car will be worth $17,798.

t

In t years, it will be worth 75000 0.75 .

19.

a.

b.

P 250000 0.95 , where P is the population and n is the number of years. In 10 years the population is about 149,684.

20.

There will be $1,558.93 in the account after 6 years.

MCPS 2011–2012

n

3

KEY

HONORS ALGEBRA 2 B

21.

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