Week 4 Review of Awesome!

Quadratics

100

What are the zeroes of
3x^2 - 9x + 10

None

200

Find the equation of the axis of symmetry
y = 3x^2 - 14x + 4

x = 7/3
(No, writing just 7/3 or 14/6 doesn't count)

300

q(x) = 2x^2 - 4x - 7
Find x such that q(x) = -3

1 +- (sqrt3)

400

A farmer has 1200 feet of fencing and wants to use it to
create two adjacent enclosures with identical dimensions
(see picture Mr S will draw). What are the maximum area
enclosed by ONE of the two enclosures? (calc okay)

30,000 sq ft

500

Find the equation of the quadratic that passes through
(0,7) (1,3) and (2,1)

x^2 - 5x + 7

Logarithms

100

Find x: Logb(1) = x

0

200

Solve for x: Log3(-27)=x

Impossible 3^x will never equal -27

300

log4(e) / log4(e^2) = ?

1/2

400

log3(2) = a
log3(5) = b
what is log3(50/9)?

a + 2b - 2

500

(16+8*e^x) / (4-e^(2x))= 16 don't use calc,
simplify as far as possible in terms of log and/or ln

x = ln(3/2)

Wildcard

100

Name either of the two mathematicians credited with
creating Calculus

Gottfried Leibniz or Isaac Newton

200

What is the word for the 'stellar' explosion
that is the most common source of astronomical black holes?

Supernova

300

What is the word for a family group of monkeys?

A troop

400

What Dinosaur name means "Covered Lizard"?

Stegosaurus

500

If a string was tied tight around the whole world;
then 6 feet were added to it; forming a ring slightly larger
and off the surface; about how far off the surface would it be?

(a) the height of an atom
(b) the height of a microbe
(c) the height of an ant
(d) the height of a cat

(d) Roughly 6/(2*pi) feet

Algebra of Rational Expressions

100

Simplify: (ab+c) / (a+2c)

(ab+c) / (a+2c)

200

Secret BONUS QUESTION, 450 pts
Simplify:
(x^4 - x^2*y^4) / (x^3 + x^2*y^2)

1/(x-y^2)

300

(6x^5*y^2) / (x^2*y^2 -2y^2)

(6x^5) / (x^2 - 2)

400

Simplify as a single, simplified, ratio of functions
(x-1)/(2x-4) + (x+1)/(4x-2)

(3x^2 - 4x - 1) / (4x^2-10x+4)

500

y = (a^3*w^5 - 2a^2*w^4 + a^4*w^6) / (a*w^2)^2
if x = a*w
what values of x makes y = 0?

x = -2 or x = 1

Cumulative Review

100

Name one of the rules for a distribution to be 'normal'

peak at mean
mean and median at same place
symmetric around mean
bell-shaped

200

Turn the following into a matrix, don't solve
3x + 7y = 2
6y = 1

|3 7| |x| = |2|
|0 6| |y| |1|

300

Tickets to a concert cost either $12 for students or $15
for the general public. A total of 200 tickets were sold.
The receipts totaled $2850. How many of each type were sold?

50 students, 150 general

400

Sketch the following graph
| x^2 for x<-2
f(x) = | -1 for (-2,6)
| 2x-13 for x>6

See graph

500

BONUS! It's a race. The FIRST team to find (correctly)
all four components wins the ponts. If a team has
one wrong, they're out of the running. Raise your
hand when ready to be checked (one per team).

2*x^2 + 6x + 7/2

Zeroes
Y intercept
Axis of symmetry

Z: (-3 +- 4)/2

Yint: (0,7/2)

axis: X = -3/2