Math Exam - 4 units

Unit 1

100

find the slope-intercept equation of the line with m=-4/3 passing through (6,-5)

1.   y+5 = -4/3 (x-6)

2.   y+5=-4/3x+8

Answer -  y= -4/3x + 3

200

find the equation of the line that is perpendicular to the line 6x+2y=11 and passes through (2,3)

1.  2y=-6x+11

2.  y-3=1/3 (x-2)

3.  y-3 = 1/3x - 2/3

Answer -  y=1/3x + 2 1/3

300

function or No?

x 1 8 9 10 19

y 3 6 9 12 15

yes because no x value can have 2 different y values

Unit 2

100

(5-4i)²

1.  (5-4i)(5-4i)

Answer -  9-40i

200

find a polynomial function with real coefficients that has the given zeros

2, -2, 2i, -2i

1.  (x-2)(x+2)(x+2i)(x-2i)

2.  (x²-4)(x²-4i²)

3.  (x²-4)(x²+4)

Answer -  F(x)= x⁴-16

300

Solve for

i³⁵

1.  (i²)¹⁷*i

2.  (-1)¹⁷*i

3.  -1*i

Answer-   -i

Unit 3

100

log_x64 = 3

1.  x³=64

Answer -  x=4

200

If a savings fund pays interest at a rate of 6.5% per year compounded monthly, how much money would you need to invest now to have $12,000 in four years?

1.  12,000=P (1+.065/12) ⁴⁽¹²⁾

Answer -  P= 9,258.97

300

2^5-x= 6

1.  log₂2^5-x=log₂6

2.  5-x=log₂6

Answer -  x = -log₂(6) + 5

Unit 8

100

10! / 8!

1.  10x9x8x7x6 / 8x7x6

2.  10x9

Answer -  90

200

A costumer can choose one of six speaker systems, one of five DVD players, and one of six flat screen TVs to design a home entertainment system. How many configurations are possible?

6*5*6 = 180 ways

300

a six sided die is rolled six times. What is the probability that each side appears exactly once?

6/6 *5/6 *4/6*3/6*2/6*1/6 = 5/324