Quadratic Equations Jeopardy

Vocabulary

100

What do you call the graph of a quadratic equation/function?

Parabola

200

What does quadratic mean?

It describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.

300

What is a quadratic function?

It is a nonlinear function that can be written in the standard form y=ax²+bx+c, where a does not equal zero.

400

What is the highest or lowest point on a parabola?

Vertex

500

What is the zero of a function?

A zero of a function is an x-value for which y=0, in an equation where y is a function of x.

Square Roots Part 1

100

Find the value of x. 15x²=0

x=0

200

Find the value of x. 4x²-400=0

x=+10,-10

300

Find the value of x. 14-x²=17

no real solution

400

Find the value of x. 42=3(x²+5)

x=+3,-3

500

Find the value of x. 21=3(x+14)²

x=-14+√7, -14-√7

Square Roots Part 2

100

(x + 2)² = 25

x = 3; x =-7

200

(x+1)² + 6 = -10

No Solution

300

(x-3)² - 7 = 29

x = 9; x = -3

400

2(x-5)² - 1 = 49

x = 10; x = 0

500

4(x+ 11)² + 5 = 261

x = -3; x = -19

Factoring

100

x² - 5x - 14 = 0

x = 7; x = -2

200

x² - 6x + 5 = 0

x = 5; x = 1

300

x² - 6x - 27 = 0

x = 9; x = -3

400

2x² - 5x - 3 = 0

x = -1/2; x = 3

500

3x² - 3x - 6 = 0

x = -1; x = 2

Up in the air

100

Which method should be used to solve the following: 2x² = 10

Square roots

200

Tell if the equation has one solution, two solutions, or no solution. x²+49=0

no solution

300

Tell if the equation has one solution, two solutions, or no solution. 25x²-16x=0

two solutions

400

5x² + 3 = 128

x = 5; x = -5

500

Simplify the radical expression: sqrt(81x⁶y²)

9x³y²