Algebra

Vocabulary

100

the name for the unknown number that is represented with a letter

variable

200

the name for a number whose value will always remain the same (no variable)

constant

300

the number in front of a variable in a variable term

EX: 5x (what is the 5 called?)

co-efficient

400

Numbers, symbols and operations (such as + and ×) grouped together that represent the value of something

expression

500

A mathematical expression that shows the value of the expression using an equal sign

equation

Variable Operations

100

2x + 15x = 

17x

200

2x² - 5x - 2x + 3 - 1 =

2x² - 7x + 2

300

2x² · 5x =

10x³

400

x² · x³ / x⁵ =

1

500

(x³)⁴ =

x¹²

Equations

100

Solve for x
3x + 9 = 30

x = 7

200

Solve for x
4(2x-5) = 60

x = 10

300

Solve for x
x/2 + 5 = 20

x = 30

400

Find the Zeroes
x(3x + 1) = 0

x = 0, -1/3

500

Find the Zeroes
(x - 5)(x + 6) = 0

x = 5, -6

FACTORING

100

Factor
5x + 15x + 10

20x + 10
10(2x + 1)

200

Factor
6x² + 36x + 12x

6x(x + 8)

300

Factor
8x⁴ - 4x³ - 2x³ +10x

2x(4x³ - 3x² + 5) or
2x[x²(4x - 3) + 5]

400

Factor
5x² + 15x + 10

5(x² + 3x + 2)
5(x + 2)(x + 1)

500

Factor
x⁴ - 25

(x² - 5)(x² + 5)

Algebra

100

Factor
x² - 16

(x - 4)(x + 4)

200

Factor
81n⁸ - 49n⁶

(9n⁴ - 7n³)(9n⁴ + 7n³)

300

Factor and Find the Zeroes
9x² - 4

(3x - 2)(3x + 2)
x = 2/3, -2/3

400

Factor
81x⁸ + 100

No Solution

500

Factor
36x⁰ - 64

-28