Algebra 75 Morton

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 + 5x = 

7x

200

2x - 5x

-3x

300

2x·5x

10x²

400

x³·x⁵

x⁸

500

(x³)⁴

x¹²

Equations

100

3x + 9 = 30

x = 7

200

4(2x-5) = 60

x = 10

300

x/3 + 5 = 20

x = 45

400

3x + 10 = 2x

x = -10

500

-3(x - 4) + 5x = 7x - 8

x = 4

FACTORING

100

Factor:  3x + 9

3(x + 3)

200

Factor: 

x² + 5x + 6

(x + 3)(x + 2)

300

Factor: 

 x² - 4x + 4

(x - 2)²

400

Factor: 

 2x² + 4x - 16

2(x + 4)(x - 2)

500

Factor Completely:  

(x² + 4)(x² - 4)

(x² + 4)(x + 2)(x - 2)

Quadratics

100

Find the zeros: 

(x + 3)(x + 5)

x = -3 or x = -5

200

Find the roots: 

(x - 2)²

x = 2

300

Find the vertex: 

y = (x + 3)² - 5

Vertex: (-3, -5)

400

Find the solutions:

x² + 7x + 10 = 0

x = -5 or x = -2

500

Find the solutions: 

x² + 2x = 15

x = -5 or x = 3