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Algebra

100

Simplify the following 4a + 3b + 2a - 7 + b - 3a - b + 2 - 3(a + b) + 5

0

200

Simplify:

4(2x+2) + 2(x-1) - 3(x-4)

7x + 18

300

Express the following using algebra: I think of a number, double it, add two, divide by four, multiply by two and take away my original number.

2((2x+2)/4) - x

400

4xy = j - 2

Is this an equation, identity, formula or expression?

Equation

500

8m + m = 10m - m

Is this an equation, identity, formula or expression?

Identity

(It is an equation, but it's more than that. Because it will be true for every value of m, the LHS is identical to the RHS.)

Binomial * Binomial

100

(x - 6)(x + 2)

x2 - 4x - 12

200

(3x - 7)(5x - 4)

15x2 - 47x + 28

300

(x - 3) (x + 9)

x2 + 6x - 27

400

(x - 6)(x - 6)

x2 - 12x + 36

500

(2x - 9)(2x + 9)

4x2 - 81

Pythagoras' Theorem

100

The equation of the Pythagorean Theorem?

c² = a² + b²

200

The name of the longest side?

The hypotenuse.

300

I walked south 9 km then east 12 km. How far in a straight line am I from where I started?

15 km.

400

True or False: Pythagoras's followers were vegetarians and had no personal possessions.

True.

500

Pythagoras discovered this type of number.

Irrational Number.

Miscellaneous

100

Fractions with algebraic expressions on the top and/or bottom are called this

Algebraic Fractions

200

Can negative numbers be in algebraic expressions?

Yes

300

How do you add/subtract algebraic fractions?

Ensure the denominators are the same first.

400

6xy(-8x2y)

-48x3y2

500

(x3 + 2)(x2 + x - 1)

x5 + x4 - x3 + 2x2 + 2x - 2