Solving Quadratic Equations Jeopardy Template

Factoring

Quadratic Facts

Features of Parabolas

Quadratic Formula

What's the best method?

100

Solve the following quadratic equation.

(x - 7)(x + 2) = 0

x = 7 x = -2

100

When solving quadratic equations, we are trying to find what feature of the parabola?

x-intercepts

100

This is the point where a quadratic function crosses the x-axis

x-intercept, solution, zero, root

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

100

Find the best method for solving the quadratic equation below:

x²+6x+9 = 0

Factoring

200

Solve the following quadratic equation by factoring.

x²+3x+2 = 0

x = -2 x = -1

200

Which part of a quadratic equation indicates if the parabola opens up or down?

the coefficient of x²

200

This point is the center of a parabola and can be a maximum or minimum, depending on the direction of the parabola.

Vertex

200

Identify a, b and c in the following equation:

x² + 6x + 5 = 0

a = 1; b = 6; c = 5

200

Find the best method for solving the quadratic equation below:

-x²-4 = 0

Factoring

300

Solve the following quadratic equation by factoring.

x² - 6x + 5 = 0

x = 5 x = 1

300

How do we know a quadratic function does not have solutions when looking at a graph?

It does not touch the x-axis

300

This line crosses the vertex of a parabola and divides the parabola in half.

Axis of Symmetry

300

Identify a, b and c in the following equation:

x² - 9x + 20 = 9

a = 1; b = -9; c = 11

300

Find the best method for solving the quadratic equation below:

5x²+2x-2 = 0

Quadratic Formula

400

Solve the following quadratic equation by factoring.

x² - 6x - 27 = 0

x = 9 x = -3

400

What is the quadratic equation in standard form?

y=ax²+bx+c

400

The __________ form of quadratic equations is useful for finding the vertex.

Vertex Form

400

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

x = -1/2 x = -4

400

Find the best method for solving the quadratic equation below:

x²-7x+5 = 0

Quadratic Formula

500

Solve the following quadratic equation by factoring.

2x² - 5x - 3 = 0

x = -1/2 x = 3

500

How do we know which method to use to solve quadratic equations?

Think factoring vs. quadratic formula

You can always use the quadratic formula but you can't always use factoring.

500

Draw a sketch of a parabola and label the following features:

x-intercepts, vertex, minimum, axis of symmetry

Answers will vary.

500

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

x = 5 x = -3/4

500

True or false?

Using the quadratic formula and factoring will give you different results.

False