Precalculus Semester 2 Review

Trigonometry

100

What do you call an angle whose terminal side lies on the x- or y-axis, such as 0, pi/2, pi, or 3pi/2?

quadrantal angle

200

What is the complement (complementary angle) of 2pi/5?

pi/10

300

How do you convert radians to degrees?

multiply radians by 180/pi

400

What is the period and amplitude of the function:

y= -7 sin(4x)

period: pi/2
amplitude: 7

500

Let x be an acute angle such that sin x = 0.6. Use the trig identity: sin²x+cos²x=1 to find cos x.

cos x = 0.8 or -0.8

Systems of Equations and Inequalities

100

If a system of equations has no intersection points, what does that tell you about the solutions of the system?

The system has no solution

200

What is the solution of this system? (As an ordered pair)
2x+y=5
3x-2y=4

(2,1)

300

DAILY DOUBLE: Solve the system of linear equations:
x-2y+3z=9
y+3z=5
z=2

(1,-1,2)

400

Pepperoni pizzas sell for $6 and Hawaiian pizzas sell for $13. Both pizzas are the same size, but the decorating and assembly time required for each pepperoni pizza is 2 hours, while the time is 3 hours for each Hawaiian pizza. There are 24 hours of labor available for production.
The function for revenue is 6x+13y. What are the constraints of this problem? (make pepperoni pizzas x and Hawaiian pizzas y)

x is greater than or equal to 0
y is greater than or equal to 0
2x+3y is less than or equal to 24

500

What is the first step to write the partial fraction decomposition of (x+5)/2x²-x-1?

first step is to factor the denominator.
(x+5)/2x^2-x-1= A/2x+1 + B/x-1

Sequences and Series

100

What is the formula to find the nth term of an arithmetic sequence?

a_n=a₁+(n-1)d

200

Find the 9th term of the arithmetic sequence whose first terms are 2 and 9.

58

300

What is the formula to find the nth term of a geometric sequence?

a_n=a₁r^n-1

400

What are the first five terms of the geometric sequence whose first term is 6 and whose common ratio is r=2?

6, 12, 24, 48, 96

500

How many ways can 10 students fill the student government positions of president, vice president, secretary, treasurer, and communications officer?

30,240 ways

Random Math!

100

What is any number to the power of 0?

1!

200

Simplify the factorial expression:
5!/(2!3!)

10

300

Evaluate f(-4) if f(x)=3x²-3x+13.

73

400

DAILY DOUBLE: For the trig function
f(x)=sin(x/3), what is the domain and range?

Domain: all real numbers
Range: [-1,1]

500

What is a negative coterminal angle for -5pi/6?

-17pi/6

Facts about Ms. Bai

100

Where is Ms. Bai from?

California~

200

What is Ms. Bai's favorite color?

Yellow!

300

What college did Ms. Bai go to?

UC San Diego! GO Tritons!!

400

How many different subjects does Ms. Bai teach this year?

4! Geometry Honors, Precalculus, Algebra I, and Algebra II!

500

When Ms. Bai first entered BIS, who were the three other teachers she entered in the same year with?

Mr. Jinsol Kwon, Ms. Kang, Ms. Kil!