Algebra Semester Final Jeopardy

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring. x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

Simplifying Radicals

100

Simplify 

sqrt(90)

+-3sqrt(10)

200

Simplify.  

4sqrt(32) 

16sqrt2

300

Simplify. 

2sqrt3+5sqrt(3

7sqrt(3)

400

Simplify.  

9sqrt(8)-6sqrt(2)

12sqrt(2)

500

Simplify. 

5sqrt(12)-sqrt(2)

10sqrt(3)-sqrt2

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

Find The Vertex

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Find the vertex of f(x)=x²-2x

(1,-1)

300

Find the vertex of f(x)=5x²+2x-2

(-1/5,-11/5)

400

f(x)=3(x-2)^2+4

(2,4)

500

Find the vertex of 

f(x)=-1/2(x+4)^2-9

(-4, -9)

Transformations

100

Describe the transformations from the parent graph of 

f(x)=-x^2

Reflection

200

Describe the transformation from the parent graph of 

f(x)=3x^2

The parabola has a vertical stretch (gets narrower).

300

Describe the transformation from the parent graph of 

f(x)=(x-3)^2

Translates right 3 units.

400

Describe the transformation(s) from the parent graph of 

f(x)=-(x-5)^2+2

Reflection, Translate right 5 up 2

500

Describe the transformation from the parent graph of 

f(x)=-1/3x^2

Reflection, Vertical Compression (parabola gets wider)