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GRE Math Fundamentals
Basics, Algebra and Geometry
43
Mathematics
10th Grade
10/30/2008

Additional Mathematics Flashcards

 


 

Cards

Term

 

 

 

integer

Definition

 

 

 

a whole number,

includes negative numbers and 0

Term

 

 

 

even

Definition

 

 

 

any integers divisible by 2,

includes negative integers and 0

Term

 

 

 

odd

Definition

 

 

 

any integers not divisible by 2,

includes negative numbers

Term

 

 

 

prime

Definition

 

 

 

a number that is only divisible by itself and 1,

does not include negative numbers, 0, or 1

Term

 

 

 

factor

Definition

 

 

 

a positive integer that divides evenly

into another positive integer (few)

Term

 

 

 

multiple

Definition

 

 

 

the product of some integer and

any other positive integer (many)

Term

 

 

 

absolute value

Definition

 

 

 

positive form of a number

IxI

Term

 

 

 

A number is divisible by 3 when...

Definition

 

 

 

the digits add up to a multiple of 3.

Term

 

 

 

A number is divisible by 4 when...

Definition

 

 

 

the last two digits are divisible by 4.

Term

 

 

 

A number is divisible by 6 when...

Definition

 

 

 

the number is even and

the digits add up to a multiple of three.

Term

 

 

 

A number is divisible by 8 when...

Definition

 

 

 

the last three digits are divisible by 8.

Term

 

 

 

A number is divisible by 9 when...

 

Definition

 

 

 

the digits add up to a multiple of 9.

Term

 

 

 

A number is divisible by 12 when...

Definition

 

 

 

when the digits add up to a multiple of 3 and

the last two digits are divisible by 4.

Term

 

 

 

Order of Operations

Definition

 

 

                       1. parenthesis

                       2. exponents

                       3. multiplication and division (→)

                       4. addition and subtraction (→)

 

 

Term

 

 

 

1/3

Definition

 

 

 

0.33…

Term

 

 

 

1/5

Definition

 

 

 

0.2

Term

 

 

 

 1/6

Definition

 

 

 

0.166…

Term

 

 

 

1/8

Definition

 

 

 

0.125

Term

 

 

 

1/9

Definition

 

 

 

0.11…

Term

 

 

 

1/11

Definition

 

 

 

0.0909…

Term

 

 

 

1/12

Definition

 

 

 

0.083…

Term

 

 

 

The Golden Rule of Inequalities

Definition

 

 

When you multiply or divide both sides

of an inequality by a negative number,

the inequality sign flips.

Term

 

 

 

When adding or subtracting inequalities...

 

Definition

 

 

 

the inequality signs must be going

in the same direction

Term

 

 

 

(x + y)2 =

Definition

 

 

 

x2 + 2xy + y2 

Term

 

 

 

(x – y)2 =

Definition

 

 

 

x2 – 2xy + y2 

Term

 

 

 

(x + y)(x – y) = 

Definition

 

 

 

x2 – y2

Term

 

 

 

Area of a Triangle

Definition

 

 

 

(½ base)(height),

where the height is perpendicular to the base

Term

 

 

 

Isosceles Triangle 

 

 

Definition

 

 


two equal sides with the

opposite angles also equal

Term

 

 

 

Equilateral Triangle

Definition

 

 

 

three equal sides and

three equal angles measuring 60°

Term

 

 

 

Right Triangle

Definition

 

 

 contains a 90° angle and

the side opposite the right angle is

called the hypotenuse
 

Term

 

 

 

Pythagorean Theorem

Definition

 

 

a2 + b2 = c2, where c is the hypotenuse

 

(relationships between the sides

of a right triangle)

 

Term

 

 

 

45:45:90 Triangle

Definition
[image]
Term

 

 

 

30:60:90 Triangle 

 

 

 

Definition
[image]
Term

 

 

 

√2

Definition

 

 

 

1.4

Term

 

 

 

√3

Definition

 

 

 

1.7

Term

 

 

 

parallelogram

Definition

 

 

 

opposite sides are equal in length and parallel (rectangles and squares are types of parallelograms)

Term

 

 

 

Area of a Parallelogram

Definition

 

 

 

(base)(height),

where the height is perpendicular to the base

Term

 

 

 

rectangle

Definition

 

 

 

parallelogram with 4 right angles

Term

 

 

 

Area of a Rectangle

Definition

 

 

 

(length)(width)

Term

 

 

 

square

Definition

 

 

 

rectangle with 4 equal sides

Term

 

 

 

Area of a Square

Definition

 

 

 

x2

Term

 

 

 

Area of a Circle

Definition

 

 

 

∏r2

Term

 

 

 

Perimeter of a Circle

Definition

 

 

 

2∏r

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