PRE-CALCULUS JEOPARDY (Game 2)

Sequences and Series

100

{0.5, 0.25, 0.125, ...}, what is the common ratio, r?

r = 0.5 or r = 1/2

200

A type of sequence in which the difference between consecutive terms is constant.

What is an arithmetic series?

300

For an infinite geometric series, if the first term 27 and the common ratio is 1/2, then to what numerical value will the infinite series converge at?

54

Trigonometry

100

If tan𝛉 = 1, then what type of triangle can be formed?

A right isosceles triangle.

200

If 𝛉 = 320, then what is the reference angle?

40^o

300

For 𝛉 in standard position, if sin𝛉 < 0, and cos𝛉 < 0, and the reference angle is 33^o, then what is the angle in standard position?

213^o

400

This law can be used when two side-lengths and the angle formed between them is given.

What is the cosine law?

500

These two quadrantal angles result in tan𝛉 being undefined.

𝛉 = 90^o and 𝛉 = 270^o

Quadratic Functions and Equations

100

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

vertex form

200

Given y = x² + 10x + 25, what is/are the root(s)?

x = -5

300

Given y = -1(x + 7)² + 2, what is the axis of symmetry?

x = -7

400

x² + 5x - 84 = 0

x = 7, x = -12

Radical Expressions and Equations

100

The two terms 7√2 and 11√2 can be added together as 18√2 since they are...

like terms

200

Given √56, what is this number when expressed as a mixed radical?

2√14

300

√(32x²y³) ÷ √(8x²y) =

2y

400

(√7)(√24 - 2√3) =

2√42 - 2√21

Rational Expressions and Equations

100

For the rational expression, ab²/b(c - 1), what is/are the non-permissible value(s)?

b ≠ 0, c ≠ 1

200

Given the rational expressions 1÷2(x - 1), and 5÷7x, what is the lowest common denominator, LCD?

14x(x - 1)

300

(x - 2)(x + 7) ÷ [(2 - x) / (x + 7)²] = 

(-1)(x + 7)

or -x - 7