Quadratics

General maths knowledge on quadratics

100

Where is the discriminant found?
What is the notation?

Under the square root in the quadratic formula.

Delta - Triangle

200

What are the two methods for solving simulatneous equations?

Subtitution method.
Elimination method.

300

How do I know if two lines are parallel or perpendicular?

Parallel gradients are equal.

Perpentidular gradients equal -1 when multiplied together.

400

What is the formula to find the turning point?

x=-b/2a

500

When would I cross multiply?
Write an example and solve.

When there is an equals sign between two fractions.

Factoring

100

Factor the following quadratics completely:

x²-9x+14=0

(x-7)(x-2)

200

Factor the following quadratics completely:

x²+7x-8

(x+8)(x-1)

300

Factor the following quadratics completely:

2x²+3x-20

(2x-5)(x+4)

400

Factor the following quadratics completely:

5x²-9x+4

(5x-4)(x-1)

500

Factor the following quadratics completely:

30x²+18x-84

6(5x-7)(x+2)

Expanding

100

Solve the following by expanding (x+2)(x+3)

x²+5x+6

200

Solve the following by expanding (3-x)(2-x)

x²-5x+6

300

Solve the following by expanding (2x+2)(x-3)

x²-4x-6

400

Solve the following by expanding (3-2x)(2-x)

2x²-7x+6

500

Solve the following by expanding (x+1)(x+2)(x+3)

x³+6x²+11x+6

Quadratic formula in exact form

100

Solve the following quadratic using the quadratic formula:

x²+5x+1=0

x=(-5+-sqrt21)/2

200

Solve the following quadratic using the quadratic formula:

3x²-4x-1=0

x=(4+-sqrt28)/6 or x=(2+-sqrt7)/3

300

Solve the following quadratic using the quadratic formula:

7x²-9=4x

x=(4+-sqrt268)/14 or x=(2+-sqrt67)/7

400

Solve the following quadratic using the quadratic formula:

2x²-15=0

x=+-(sqrt60)/2 or x=+-(sqrt15)

500

Solve the following quadratic using the quadratic formula:

4x²-18=10x

x=(5+-sqrt97)/4

Test your luck

100

What country is currently ranked no.1 for men's and women's volleyball?

Poland - M.
Italy - W.

200

How many cards are in a standard deck (exc. the Jokers).

52

300

What is QLD's longest winning streak in the State of Origin?

2006 - 2013, 8 years.

400

Only two mammals (Monotreme) on Earth lay eggs. Both are found in Australia. What are they?

Platypus and Echinda (4 species).

500

What was Ada Lovelace known for in the world of mathematics?

Considered the first computer programer.