Final Project Jeopardy Game

Solving Quadratic Equations

100

Solve for x in the equation 3x²-75=0.

What is x=+/-5?

200

Complete the square and solve for x. 

x²-6x=7

What is x=7, x=-1

300

Factor the expression x²-4.

What is (x+2)(x-2)?

400

Factor the expression 3x²+18x+20.

What is (3x+10)(x+2)?

500

Complete the square and solve for x (leave in terms of square roots, or round to nearest hundredth).

5x²+6x=9

What is x=(+/-squ.(234)-3)/5?

What is x=2.46 or x=-3.66

Arithmetic and Geometric Sequences

100

Is the number sequence an arithmetic or geometric sequence?

2,4,8,16,32

What is geometric sequence?

200

Using the formula a₁=x; a_n=a_n-1+y write the recursive equation for the arithmetic number sequence:

2,4,6,8,10

What is a₁=2; a_n=a_n-1+2?

300

Using the formula a_n=r(a_n-1), find the recursive equation and the fifth term of the geometric number sequence:

3,9,27,81

What is a_n=3(a_n-1) and a₅=243?

400

If the first term in an arithmetic sequence is 5, use the formula a_n=a₁+5(n-1) to find the tenth term of the sequence.

What is a₁₀=50?

500

If the first term in a geometric number sequence is 3, use the formula a_n=a₁(2^n-1) to find the fifth term.

What is a₅=48?

Function Transformations

100

Identify the graph transformation from f(x) to f(x)+3.

What is vertical shift up 3 units?

200

Identify the graph transformation from f(x) to f(x-4).

What is horizontal shift right 4 units?

300

Identify the graph transformation from f(x) to -f(x).

What is reflection over the x-axis?

400

Identify the graph transformation from f(x) to 2f(x).

What is vertical stretch by a factor of 2?

500

Identify all of the graph transformations from f(x) to 1/2f(-x-3)-2.

What is vertical shrink by 1/2, reflection over the y-axis, horizontal shift right 3 units, vertical shift down 2.

Systems of Equations

100

Solve using any method 6x+y=8 and 6x+y=-1

What is No Solution?

200

Solve using any method y=x+4 and 3y=3x+12

What is Infinitely Many Solutions?

300

Solve using elimination y=x+5 and 2x=7y-5

What is y=-1 and x=-6?

400

Solve using substitution y=x-4 and 6y+3x=12

What is x=4 and y=0?

500

Solve using either method 4y+x=18 and y+x=6

What is x=2 and y=4?

Graphing Quadratic Equations

100

Where does x^2+5x+10 hit the x-axis?

What is it doesn't?

200

Find the Zeros of x^2+4x+4 

What is one solution x=-2

300

What is the vertex of 2x^2+6x+2

What is (-1.5,-2.5)?

400

Does -6x^2-14x-4 have a minimum or maximum? 

What is a maximum?

500

Find the zeros of 4x^2+6x+2

What is x=-1/2 and x=-1