Hon Algebra 2 Study Guide

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