- smallest number - least number - same time - same day - blink together - flicker together - meet together

- greatest number - largest number - biggest number - highest number

Basic Math Flashcards by Elisha Ompad

Order of Operations (PEMDAS)

Parenthesis
Exponents
Multiply and
Divide (left to right)
Add
Subtract (left to right)

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5 + (3*1)² + 4 - 5
= 5 + (3)² + 4 - 5
= 5 + 9 + 4 - 5
= 18 - 5
= 13

Correct (PEMDAS)

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A number greater than 1 and has only 2 factors: 1 and itself

Prime Number

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smallest number divisible by all of the numbers in a set

Least Common Multiple

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LCM WORD PROBLEMS

smallest number
least number
same time
same day
blink together
flicker together
meet together

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GCF WORD PROBLEMS:

greatest number
largest number
biggest number
highest number

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Comparison of 2 quantities by division

Ratio

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Equality of 2 ratios

Proportion

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Both quantity increase or both decrease

Formula: x¹ x²
— = —
y¹ y²

Direct Proportion (cross multiply)

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One quantity increases, the other decreases and vice versa

Formula: x¹y¹ = x²y²

Inverse Proportion

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One quantity is being partitioned into different proportions

Clue: Total and Ratio

What to do? Add the ratio, then divide. Lastly, multiply

Partitive Proportion

ex. 3x + 5x = 40
8x = 40
x = 5
— divide both sides by 8

3x for boys
= 3x
= 3(5)
= 15

5x for girls
= 5x
= 5(5)
= 25

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Interest paid only on the principal amount

Formula: I = Prt

Simple Interest

ex. (30,000) (0.10) (6/12)

(3,000) (6)
—————
12

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The amount of increase is called

Markup

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Formula of markup

Markup = cost x rate

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Cost price of an item

Selling Price

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Formula of selling price

Selling price = cost + markup

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Price decrease

Discount

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Discount formula

Discount = price x rate

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Price offered at a discount

Sale Price

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Sale Price Formula

Discount = Price - Discount then, Sale Price = price - discount

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Fee paid for services

Commission

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Formula of Commission

Commission = amount sold x rate

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The number of units a number is away from 0 in a number

Absolute Value

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Sum or the product is a unique real number which belongs to the same set

ex. 125 + 34 = 159

Closure Property

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Changing the position of the addends or the factors does not affect the sum or the product ex. 12+2 = 2+12 (addition) 13*3 = 3*13 (Multiplication)

Commutative Property

Changing the grouping of the addends in a sum or the grouping of the factors in a product does not change the resulting sum or product ex. (2 + 3) + 4 = 2+ (3+4) addition

associative property

Sum of any number and zero is the same number. Zero is the identity ex. 34 + 0 = 34

Identity Property of Addition

Product of any number and 1 is the same number. 1 is the identity ex. 32 x 1 = 32

Identity Property of Multiplication

The sum of two other numbers, the first number can be handed out or distributed to both numbers and multiplied by each of them ex. 3 (8 + 5) = 3(8) + 3 (5)

Distributive Property

When adding and subtracting polynomials — combine like terms

Correct

When multiplying and diving polynomials — substitute 2 to the X's of the problem. Then check using the options.

Correct

When factoring and Rationalizing polynomials, substitute 2 to the X's of the problem. Then check it using the options.

Correct

In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

Pythagorean Theorem

Formula of Pythagorean theorem:

C² = a² + b² A² = c² - b² B² = c² - a²

Means chances Formula: P (E) = Number of favorable outcomes ———————— Total Number of possible outcomes

Probability

Formed 2 arrays sharing a common endpoint

Angles

Not more than 90 degress

Acute Angles

exactly 90 degrees

Right angles

More than 90 but less than 180 degress

Obtuse Angle

exactly 180 degrees

Straight Angle

2 angles combined = 90 degrees

Complementary Angles

2 angles combined= 180 degrees

Supplementary Angles

2 angles formed intersecting lines — always equal

Vertical Angle

2 angles share a vertex — side but do not overlap

Adjacent Angles

- closed figure - straight sides - no curves - no overlapping

Polygons

3 sided figure — sum of interior angles is 180⁰

Triangle

4 sided figure — interior angles is 360⁰

Quadrilateral

5 sided figure — interior angles 540⁰

Pentagon

6 sided figure — interior angles is 720⁰

Hexagon

7 sided figure, interior angles is 900

Heptagon

8 sided figure, interior angles 1080

Octagon

9 sided figured interior angles is 1260

Nonagon

10 sided polygon, interior angles is 1440

Decagon

11 sided polygon, interior angles is 1620

Undecagon

12 sided polygon — 1800

Dodecagon

Sum of interior angles of polygon Formula:

(n - 2) × 180

Each interior angle of a polygon formula:

(n-2) × 180 ————— n

Has 4 sides and 4 interior angles

Quadrilaterals

1 pair of parallel sides

Trapezoid

2 pairs of parallel sides opposite sides are equal opposite angles are equal

Parallelogram

2 pairs of parallel sides opposite sides equal All right angles

Rectangle

All sides equal Opposite angles equal

Rhombus

All sides equal All right angles

Square

2 separate pairs of equal adjacent sides

Kite

Perimeter of Rectangle formula

P= 2L + 2W P = 2 (L + W)

Perimeter of Square formula

P= 4s

Perimeter of Triangle formula

P = s¹ + s² + s³

Circumference of circle formula

C = 2πr

Area of Rectangle

A = L × W

Area of Square

A = s²

Area of triangle

A = ½ bh

Area of circle

A = πr²

Total surface area of rectangular prism formula

TSA = 2LW + 2WH + 2HL

Volume of Rectangular Prism

V = L × W × H

Total Surface Area of Cube

TSA = 6s² s = edge

Volume of Cube

V = s³

Has no equal sides

Scalene triangle

Has 2 equal sides

Isosceles triangle

All 3 sides are equal

Equilateral triangle