Advanced Algebra

Functions and Sequences

100

Functions and Sequences

If f(x) = 4x²- 5, what is f(-3)?

f(-3) = 31

200

Functions and Sequences

If f(x) = 6x², find 3f(-b).

3f(-b) = 18b²

300

Functions and Sequences: DOUBLE JEOPARDY

If f(x) = -3x - 5, find x if f(x) = -26.

x = 7

400

Functions and Sequences

Given the sequence A_n= 3n + 7, find the first 3 terms of the sequence.

A₁ = 10 A₂ = 13 A₃ =16

500

Functions and Sequences

Given the sequence B_n= 2n + 8, find n if B_n = 26.

n = 9

Solving Equations

100

Solving Equations

Solve for x. 10 - 4x = 62

x = -13

200

Solving Equations

Solve for x. (4/5)x - (2/5) = 6

x = 8

300

Solving Equations

Solve for x. -2(x + 4) - 6 = -36

x = 11

400

Solving Equations

Solve the given equation for x. Y = (2/3)x + b

3(Y - b)/2

500

Solving Equations

Solve the equation for z. A = xy/z

z = xy/A

Geometry

100

Geometry

If 2 angles in a triangle measure 37 and 54, what is the measure of the 3rd angle?

89

200

Geometry

Given a right triangle with one angle measuring 39, what is the measure of the other 2 angles?

90 and 51

300

Geometry

The length of a given rectangle is 2x - 3 and its width is 3x. Find the area of the rectangle in terms of x.

6x² - 9x

400

Geometry

2 sides of a right triangle have lengths 15 and 36, find the length of the hypotenuse.

Hypotenuse = 39

500

Geometry

The length of a given rectangle is 20. It's width is 15. What is the length of the diagonal of the rectangle?

Diagonal = 25

Rational Equations and Functions

100

DOUBLE JEOPARDY:

These are the vertical and horizontal asymptotes of the function y = (4-3x)/(2x-1).

What is x = 1/2 and y = -3/2?

200

This is the sum of (3x+4)/(x²-25) and 2/(x+5).

What is (5x-6)/(x²-25)?

300

This is the difference of (4x-5)/(x²-36) and 3/(x+6).

What is (x+13)/(x²-36)?

400

When -3/(x-2) = 1 - (12/(x²-4)) is solved for x, the solution is this.

What is -5?

500

When the complex fraction (3/(x+1)-4/x)/(4/(x+1)+3/x) is simplified, it simplifies to this.

What is (-x-4)/(7x+3)?

Graphs

100

Graphs

Given the equation y = 3x, what is the name of the graph?

Line

200

Graphs

Given the equation y = -2x², where is the vertex located?

(0,0)

300

Graphs

Given the equation y = -3/x, what quadrants is the graph located?

Quadrant 2 and 4

400

Graphs

Given the equation y = 3/x², where are the asymptotes located?

x and y axis

500

Graphs

Given the equation y = 9/x², what is the domain and range?

Domain: x cannot equal 0 Range: y is greater than 0