521B JEOPARDY!

Sequences and Series

100

{1, 2, 3, ...} is an example of a/an

arithmetic sequence

200

True or false: All sequences are either arithmetic or geometric.

False

300

For 2, -16, 32, etc., the common ratio is 

r = -8

400

The formula for an arithmetic series is

(n/2)(t1 + tn) or (n/2)(2t1 + (n-1)d)

500

If an infinite geometric series converges, what are the restrictions on its common ratio, r?

-1 < r < 1

Angles/Trig in Standard Position

100

The angle formed between the initial arm and the terminal arm.

What is the angle in standard position?

200

The acute angle formed between the horizontal axis and the terminal arm is called

The reference angle

300

If cos𝛉 < 0 and sin𝛉 > 0, and if the reference angle is 50^o, then what is the angle in standard position?

130^o

400

0^o, 90^o, 180^o, 270^o, and 360^o

Quadrantal angles

500

The exact value of 

sin(30^o) + cos(180^o) + tan(60^o)

√3 - 1/2

???

100

If given all three sides of a triangle, but no angles, then which law should be used?

The cosine law

200

y = a(x - p)² + q is a quadratic function in...

vertex form

300

For the inequality -2.2 < x < √17, what is the largest integer value?

x = 4

400

Solve:

2x² - 11x + 5 = 0

x = 1/2, x = 5

500

Given obtuse A, and side lengths a, b, how many possibilities are there?

2 possibilities: either no triangle or one triangle.

Radicals and Radical Equations

100

√8 - √2 + √50

6√2

200

(√16)(5)(√72)

120√2

300

(3√125) / √5

15

400

If the index of a radical is an even number, then what are the restrictions on the radicand?

The radicand must be positive

500

Solve:

x - 3 = √(x + 9)

x = 7

Rational Expressions and Equations

100

For ab²/b(c - 2), what is/are the non-permissible value(s)?

b ≠ 0, c ≠ 2

200

For 1/2x and 1/x²(x - 1), what is the LCD?

2x²(x - 1)

300

Simplify:

(x² - 4) / (x² + 3x - 10)

[Make sure to identify the NPVs]

(x + 2) / (x + 5)

x ≠ 2, x ≠ -5

400

Simplify:

(1/2x²) - [2/(x - 3)]

[Make sure to identify NPVs]

(-4x² + x - 3) / 2x²(x - 3)

x ≠ 0, x ≠ 3

500

Solve:

1/(x - 7) = 2/(x + 4)

[Make sure to identify the NPVs]

x = 18

x ≠ 7, x ≠ -4