Pre Calculus 12 Review

Chapter 1-2

100

What transformation does the graph of y = -a^x  have when compared to the graph of y = -a^x?

A Reflection along the x axis

200

What is the minimum number of real roots that a polynomial equation can have if the degree is 5?

1

300

Determine the remainder:

(x⁴+3x³+5x²+21x-13) / (x²+3-2)

1

Chapter 3-4

100

Solve for x: log5 = logx - log2

x =10

200

What is the maximum number of zeroes that a radical equation in the form of y = √ ̅(ax + b) + cx + d?

2 zeroes

300

If log₂5 = a and log₂3 = b, determine an expression for log₂(25/72) in terms of a and b

2a - 2b - 3

Chapter 5-6

100

What is the maximum value of y = -asinx - b, where a & b are greater than zero.

a - b

200

Simplify sec(Pi - x)

-sec(x)

300

A Ferris wheel with radius of 20m has it's centre 25m above the ground. It rotates once every 10 seconds. Determine the equation for the height of a rider on the wheel if the rider begins (t=0) at the bottom.

h = -20cos(Pi / 5) + 5

Chapter 7

100

Dan goes to an icecream shop, and his order can come either in a bowl or a waffle cone. He can top his cold treat with sprinkles, chocolate drizzle, or whipped cream. He can order these in any combination, though he never has whipped cream on a bowl of icecream and he never mixes sprinkles and whipped cream. How many different combinations are possible?

8 (10 if plain ice cream is included)

200

How many different 10 letter words can be made using the letters in the word "ENCOUNTERS"

907200 words

300

Which term of (x² - (1/x))⁶ is a constant?

Term 5