G9 Jeopardy #3

GCF Quadratics

100

Factor and solve.

y = 4x² + 16x

x = 0

x = –4

200

Factor and solve.

y = 2x² – 10x

x = 0

x = 5

300

Factor and solve.

y = –8x² – 8x

x = 0

x = –1

400

Factor and solve.

y = –6x² – 45x

x = 0

x = –15/2 or –7.5

500

The solutions are x = 0 and x = –7/3. What was the original equation?

y = __x² + __x

y = 3x² + 7x

OR

y = x² + 7/3x

Difference of Perfect Squares

100

Factor and solve.

y = 25x² – 100

x = 2

x = –2

200

Factor and solve.

y = 36x² – 144

x = 2

x = –2

300

Factor and solve.

y = 9x² – 225

x = 5

x = –5

400

Factor and solve.

y = 49x² – 81

x = 9/7

x = –9/7

500

Write a quadratic that is a difference of perfect squares with solutions of x = 8/5 and x = –8/5.

y = 25x² – 64

OR

y = x² – 64/25

X-Factoring

100

Factor and solve.

y = x² + 3x – 10

x = –5

x = 2

200

Factor and solve.

y = x² – x – 6

x = –2

x = 3

300

Factor and solve.

y = 2x² + 43x + 21

x = –21

x = –1/2 or –0.5

400

Factor and solve.

y = 4x² – 20x + 24

x = –1

x = 6

500

A quadratic equation has two solutions:

x = –5 and x = ?

The equation is x² + 12x + c. What is c?

c = 35

Quadratic Formula

100

Use the quadratic formula and solve.

x² – 5x – 14 = 0

x = –2

x = 7

200

Use the quadratic formula and solve.

x² – 4x + 4 = 0

x = 2

300

Use the quadratic formula and solve.

2x² + 2x – 12 = 0

x = 2

x = –3

400

Use the quadratic formula and solve.

2x² + 9x = –7

x = –1

x = –7/2 or –3.5

500

A ball is thrown off of a building. Its height (h) after t seconds is represented by the equation:

h = –4.9t² + 12t + 20

How many seconds does it take for the ball to hit the ground?

–12 + √536

–9.8

Absolute Value

100

Solve for x.

|x – 3| = 2

x = 1

x = 5

200

Solve for x.

2|x + 2| = 14

x = –9

x = 5

300

Graph the equation.

y=1|x – 2| – 4.

[See graph]

400

Graph the equation.

y=–1/2|x + 3| – 2.

[See graph]

500

Write an absolute value equation that passes through the points (1, 4), (2, 1), and (3, 4).

y = 3|x – 2| + 1