Hon Algebra 2 Study Guide

Topics: Analytic geometry, Real number, Mathematics Pages: 42 (1102 words) Published: April 8, 2014
KEY

HONORS ALGEBRA 2 B
1.

a.
d.

2.

a.
d.

a1  3,

Semester Exam Review

b.

b.

an  4  an1 

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  x3 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 x5
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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