# Algebra 2/Discrete

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```					 Algebra 2/Discrete

1st Semester Exam Review #2
Question 1

What is the domain and
range of the function
f ( x)  2( x  4)  2
2

Domain is all real numbers
Range is y > - 2
Question 2

What is the domain and
range of the function
f ( x)  x  4
Domain is x > 4
Range is y > 0
Question 3

What is the domain and
range of the function
f ( x)  3*0.289        x

Domain is all real numbers
Range is y > 0
Question 4

What is the domain and
range of the function
f ( x)  3(4)   x

Domain is all real numbers
Range is y > 0
Question 5

What is the slope and
y-intercept of this function?

3x + 2y = 6
y = - 3/2x + 3
m= - 3/2       b=3
Question 6

What is the equation of a
line parallel to the function
3y – 2x = 12 that has a
y-intercept of – 8 ?
y = 2/3x - 8
Question 7*

One line passes through the
points (3, 8) and (5, 12)
while a second line passes
through (4, 5) and (6, 4).
Are they parallel,
perpendicular
perpendicular, or neither?
Question 8*

What is the difference
between trend lines,
median-median lines, and
regression lines?
See pages ______ in text.
Question 9

How do we find the midpoint
between two points? The
distance?      x1  x2 y1  y2 
Mid .             ,       
       2       2   

Dist  ( x2  x1 )  ( y2  y1 )
2               2
Question 10

What is an example of a
rational number? An
irrational number?

See pages ______ in text.
Rational and Irrational Numbers
Question 11

Simplify:
75
25*3  5 3
Question 12

Simplify:
4 5  2 3  45
4 5 3 5  2 3
 52 3
Question 13

Simplify:
75 x * 2 18 x
25 * 3 * x * 2* 9 * 2 * x

30 x 6
Question 14*

What are some of the
different sets of numbers
and how do they relate to
each other.
See pages ______ in text.
Question 15

Solve this equation:
2 x  4  132
2

2x 2   = 128
x2 = 64
x = +8 or –8
Question 16

Simplify:
3i(2 + 3i)

- 9 + 6i
Question 17

What is the absolute value
of 3 + 2i? square root of 13
What is it’s complex
conjugate?       3 – 2i
The additive inverse? - 3 – 2i
Question 18a

How many roots does the
following function have?
f ( x)  3x  2 x  3
2

none – discriminant is
negative
Question 18b

How many roots does the
following function have?
f ( x)  3x  2 x  3
2

two – discriminant is positive
Question 18c

How many roots does the
following function have?
f ( x)  3x  6 x  3
2

one – discriminant is 0
Question 19

What is   x 3/4
using rational
exponents?

4    3      4   3
x or ( x )
Question 20

What are the different
election methods that can
be used with more than two
candidates?
Review Chapter in Discrete
Math book
Question 21

If I buy a computer for \$2500
and it depreciates at a rate of
20% per year, what is it’s
value in 3 years?
f(x)= 2500(1 - 0.2)x

f(3)= 1280
Question 22

If a painting is bought for
\$15,000 and has a rate of
appreciation of 1.2%, what is it
worth in 12 years?
f(x)= 15000(1 + 0.012) x

f(12)= \$17,308.42

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