Solving Quadratic Equations

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

Probability Vocab

100

The outcome on an event is affected by the outcome of the previous event.

What are dependent events?

200

Two events that cannot happen at the same time.

What are mutually exclusive events?

300

The fraction for finding the probability of an event.

What is favorable outcomes divided by total outcomes?

400

The likelihood of the event taking place.

What is the probability of an event?

500

The three ways that probabilities can be expressed.

What are as a fraction, as a decimal, or as a percent?

Completing the Square/Quadratic Formula

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

x = 1 x = 5

300

Solve the following quadratic equation by completing the square: x² - 2x - 24 = 0

x = -4 x = 6

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

500

Solve the following quadratic equation by completing the square: 2x² - 8x = 10

x = 5 x = -1

Probability of Events

100

The probability of drawing a Jack from a deck of 52 cards.

What is 1/13, 0.077, or 7.7%?

200

The probability of drawing a 4 or a queen on one draw from a standard 52 card deck.

What is 2/13, 0.154, or 15.4%?

300

The probability of rolling a 2 and an even number on a number cube on two consecutive rolls.

What is 1/12, 0.083, or 8.3%?

400

The probability of drawing a red marble, a green marble, and another red marble in sequence from a bag that contains 10 blue marbles, 20 red marbles, and 30 green marbles.

What is 95/1711, 0.056, or 5.6%

500

The probability of spinning a multiple of 2 or a multiple of 5 when you spin a spinner with 20 equal size sections numbered 1-20 one time.  

What is 3/5, 0.6, 60%? 

Vertex of Quadratic Functions

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

Find of the vertex of f(x)=-x²-4x

(-2,4)

500

Find the vertex of x=5y²+4y+3

(11/5,-2/5)