Algebra Semester Final Jeopardy

Solving Quadratics

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. 4x²  = 400

x = 10 x = -10

400

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

x = -1/2 x = 3

500

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

x = 5 x = -3/4

Solving Linear Equations and Systems

100

Solve for the unknown variable 2x + 8 = -22.

-15

200

Solve for the unknown variable -3(x+2) - 5 = 4

What is x = -29 ?

300

Solve the system of equations

2x + y = -4 and -3x - y = -2.

What is (6, -16)

400

Solve the two systems 

2x + y = 5 and -2x -3y = -11

What is (1,3)?

500

Tell if there is one solution, no solution or infinite solutions to the system of equations 

y = 3x + 5 and -6x + 2y = 8.

What is no solution?

Radicals/Polynomials

100

Simplify 

sqrt(90)

+-3sqrt(10)

200

Simplify.  

9sqrt(8)-6sqrt(2)

12sqrt(2)

300

Simplify. 

2sqrt3*5sqrt(3

30

400

Simplify.  

(x² - 4x + 6) - (2x²+3x - 2)

-x² -7x + 8

500

Simplify. 

(x - 6)(x + 2) 

x² - 4x - 12

Functions and Inequalities

100

Is the following a function?

{(3, 9), (4, 9), (1, 0), (-2, 4)}

yes

200

If f(x) = -3x - 9, what is f(-2)?

What is -3 ?

300

Solve for x,

-2(x - 3) - 2 < 8

What is x > -2 ?

400

It costs $10 to rent a pair of bowling shoes, plus $3 per game you bowl. Write an equation that represents the cost to bowl x number of games.

What is y  = 3x + 10

500

Describe the line and shaded region of the following inequality.  y > -2x + 3

dashed line and shaded above

Characteristics of Quadratics

100

Find the vertex of f(x)=-x²+8x-15

(4,1)

200

Describe the end behavior f(x)=x²-2x

As x goes to positive infinity, f(x) goes to positive infinity

As x goes to negative infinity, f(x) goes to positive infinity

300

What is the y-intercept of f(x)=5x²+2x-2

(0, -2)

400

f(x)=3(x-2)^2+4  What is the range?

y is greater than or equal to 4

500

Find the vertex of 

f(x)=-1/2(x+4)^2-9  What is the interval of decrease 

(-4 to infinity)

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)