Pre-Calculus, Spring Final Review

Unit 6

100

What is the law of sines?

sin(A)/a = sin(B)/b = sin(C)/c

or 

a/sin(A) = b/sin(B) = c/sin(C)

200

All of the angles in a triangle add up to?

180 degrees

300

Given triangle ABC with a=5, A=38 degrees, and B=76 degrees, find b.

7.88

400

Given triangle XYZ with x=7, X=21 degrees, and Y=74 degrees, find z.

19.46

500

if v = <3,2> and w = <-1,5>, what is 3w-2v?

<-9,11>

Unit 7

100

The limit of 3(x-2)^2 as x approaches 7 is?

75

200

Explain why Alec is obsessed with the Mean Girls movie (mathematically).

The left and the right hand sides of a limit have to equal/match for the general limit to exist!

300

The limit of 3(x-2)^2 as x approaches negative infinity is?

positive infinity

400

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

3

500

If f(x) = 3(x-1)^2, find the average rate of change between -3 and 7.

6

Unit 9

100

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

-20

25

10

200

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

12   -6

0     30

300

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

1  0  0  3

0  1  0  1

0  0  0  -2

400

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

-86

500

See the Google classroom review post.

https://docs.google.com/document/d/19mPUtvf0brW9BjOnrOeBawuQyrzgQCZzL08Hjif8W14/edit?usp=sharing

-0.25   0.1

0.25     0.1

Unit 12

100

Write the first 5 terms of arithmetic sequence.

varies

200

Write the first 5 terms of geometric sequence.

varies

300

sum the following series:

2 + 9 + 16 + ... + 51

212

400

Expand and simplify the following binomial using Pascal's Triangle.

(x-4)⁵

x⁵ - 20x⁴ +160x³ - 640x² + 1280x - 1024

500

A baseball player has a batting average of 0.280. Find the probability that she hits exactly 4 times in her next 10 times up at bat.

0.1798

Miscellaneous

100

When is your Final?

May 20th

200

What video game character does Alec really enjoy?

Kirby :)

300

How many years has Alec been at SPCPA?

4

400

When is our last day of school? (non-seniors)

5/28

500

What club has Alec been hosting afterschool this year?

Fiber Arts!