THE FINAL REVIEW. OMG.

Chapters 1-3

200

Find the equation describing a line perpendicular to

y = (3x-10)/2

that passes through the point (3,6), in slope intercept form

y = (-2/3)x+8

300

Find the domain and range for the following function
y = 5 - sqroot(2x-6)

Domain: [3,Infinity)
Range: (-Infinity,5]

400

The average life expectancy in the United States has been rising steadily
over the past decades, as shown in the table:

Year 1920 1940 1960 1980 2000
Life Expectancy 54.1 62.9 69.7 73.7 76.9

Assuming linear growth, use your calculator to estimate life expectancy in the year 2100

107

500

f(x) = x² - 2x
g(x) =5x - 4
h(x) = 0

Find the following
h(f(15))
g(f(1))
(g+f+h)(2)

0
-9
6+0+0 = 6

Chapters 4-6

200

Find the x-intercepts, the y-intercept, and the axis of symmetry of the following equation

y=-2(x-3)(x+5)

x ints: 3, -5
y ints: 30
axis: x = -1

300

Write the following in standard exponential form

y = 2*32^(2/5)x+1

64*4^x

400

Given C(x) = x + sqroot(2x²+1)
Find the function D(x), stretching C(x) three times wider

D(x) = x/3 + sqroot((2/9)x² + 1)

500

Find x

3/(x+3) - 1/x = -9/(x²+3x)

x=-3 doesn't work, no solutions

Wildcard

200

What element uses the chemical symbol 'Au'?

Gold

300

What animal is said to have nurtured the twin founders of Rome?
[200 Bonus points: what were the twins' names?]

A wolf
Bonus: Romulus and Remus

400

Francisco Scaramanga was the iconic villain in what Bond movie?

The Man with the Golden Gun?

500

The word "Laser" is an acronym, what does it stand for?

light amplification by stimulated emission of radiation

Chapters 7-8

200

What is the growth rate of: y = 3^(2x)
as a percentage?

800%

300

Simplify the following:
16*(5x²+y^(-1/3))^{(2x - 4(x/2))}

16

400

Solve for x
3 - 2/(x+4) = -4/(x-2)

fully simplify results

(-4 +- 2*sqroot(7))/3

500

Solve for x:

3log₂(5) - 4 - 2log₂(x) + (1/2)log₂(25) = 0

x = 25/4

Chapters 9-10

200

Find the standard deviation of the following set of data points WITHOUT CALCULATORS
3,5,9,0,3

3

300

The average daily temp for early August in Seattle
is 72 degrees, with a standard deviation of 4 degrees.

80 percent of the days will be below what temperature?

check

400

Find the missing base of the triangle Mr. S draws on the board.

7

500

The previous class got the final scores on the Algebra 2 final:

100,80,90,80,80,90,100,60,100,80

Assuming a matching normal distribution this year,
what percentage of the class would you expect to
get above 90 on the test?

check