Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
54 Cards in this Set
- Front
- Back
When converting percentages to decimal form you must multiply by
|
.01
|
|
Exponents of 1 or 0 (e.g. 5 to the 0 or 1 power = ?)
|
0=1 and 1=5
|
|
Area of a circle formula
|
PI X R(radius) squared
|
|
Multiplying or Dividing Powers with like bases. What shortcut can you use?
|
If the bases are the same, add the exponents for multiplying and subtract them when dividing.
|
|
When solving negative exponents you must do what to the base?
|
multiply the inverse/reciprocal of the base
|
|
Logarithms expressions
|
are the opposites to exponents expressions
|
|
Real Numbers-Give Examples
|
The type of number we normally use, such as 1, 15.82, -0.1, 3/4, etc…
Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers. |
|
Irrational Numbers-Give Examples
|
A real number that cannot be written as a simple fraction - the decimal goes on forever without repeating. For Example Pi=3.1444444
|
|
Integers-Give Examples
|
A number with no fractional part.
Includes the counting numbers {1, 2, 3, ...}, zero {0}, and the negative of the counting numbers {-1, -2, -3, ...} You can write them down like this: {..., -3, -2, -1, 0, 1, 2, 3, ...} Examples of integers: -16, -3, 0, 1, 198 |
|
Whole Numbers-Give Examples
|
Includes the counting numbers {1, 2, 3, ...}, zero {0}, and the negative of the counting numbers {-1, -2, -3, ...}
You can write them down like this: {..., -3, -2, -1, 0, 1, 2, 3, ...} Examples of integers: -16, -3, 0, 1, 198 |
|
Definition of a Polynomial
|
an algebraic expression that has at least 3 different terms. Can contain an infinite amount of terms.
|
|
Definition of a Binomial
|
an algebraic expression that has only two different variables. (e.g. 3x-2)
|
|
Definition of Trinomial
|
an algebraic expression that has exactly 3 different variables.
|
|
Quadratic Equation (remember this!)
|
ax2+bx+c (ax is to the second power)
|
|
Equation used to find the vertex of a parabola. Used in quadratic equations.
|
-b/2a (expressed as negative b over 2a)
|
|
Definition of coefficient
|
Any number accompanying a variable or used to multiply a variable.
|
|
Define Y intercept
|
The point in which a line crosses the y axis
|
|
Define the X intercept
|
The point in which a line crosses the x axis.
|
|
Multiplication/Division principal of inequalities states what...(if you multiply or divide by a negative number...)
|
You must change the equality (><) symbol. This is also true when dealing with variables.
|
|
Equation to find the slope of a line
|
Slope= y2-y1
__________________ X2-x1 or the coefficient for x in a linear equation. y=-3x+7. Slope is -3 |
|
Linear Equation is...
|
y=mx+b
|
|
The slope of a perfectly horizontal line is?
|
0 ZERO
|
|
The slope of a perfectly vertical line is?
|
NOT Defined!
|
|
The slope intercept equation
|
is also y=mx+b (The slope is m and the y intercept is (0,b)
|
|
Area of a rectangle
|
Length X Width
|
|
Dividing Fractions
|
Take one fraction and multiply it by the reciprocal of the other.
|
|
Rule for adding and subtracting fractions
|
Find the LCM or the LCD lowest common denominator before proceeding
|
|
Solving proportions
|
Use cross products to determine if both fractions are equivalent.
|
|
Adjacent Angles
|
share the same side
|
|
Non Adjacent Angles
|
Do not share the same side
|
|
Perimeter of a rectangle
|
Length X 2 + Width X 2
|
|
Area of a Trapezoid: 4 sided figure with two parallel lines that do not have the same lengths
|
1/2 X Height X (Short base + Long base)
|
|
Area of a Parallelogram: 4 sided figure that looks like its leaning left or right
|
Base X Height
|
|
Area of a Triangle
|
1/2 X Base X Height
|
|
Finding the measure of a triangle
|
the sum of each angle will add up to 180 degrees
|
|
Radius of a circle
|
From the center to an edge
|
|
Diameter of a circle
|
From edge to edge
|
|
Area of a circle
|
pi X R(radius) squared
3.14 X R2 |
|
Volume of a rectangular shape
|
Length X Width X Height
|
|
Volume of a sphere
|
4/3 X pi (3.14) X (R)adius cubed
4/3 X 3.14 X R3 |
|
Volume of cylinder
|
Pi X R2 X Height
|
|
Volume of a cone
|
1/3 X Area of Base X Height
|
|
Volume of a pyramid
|
1/3 X Area of Rectangular Base X Height
|
|
Pythagorean Theorem-Find missing side of triangle when two sides are known
|
LEG= Radicant{Hypotenuse2 - Leg2}
|
|
Pythagorean Theorem-Find hypotenuse
|
Hypotenuse= Radicant{Leg2 + Leg2}
|
|
Motion Formulas
|
Distance=Rate X Time
Rate= Distance/Time Time= Distance/Rate |
|
Logarithm Expression
|
LOG (Product) = Power
base 6 to the 3rd power=216 Log 216= 3 6 |
|
Solving Negative Exponents
|
Take the reciprocal of the base and multiply
5 to the negative 2 power is: 1/5 X 1/5 =1/25 |
|
Raising a power to a power
|
You must multiply the exponents
(5 to the 2nd power)3= 5 to the 6th power |
|
FOIL Method
|
First= (A+B)(C+D) A X C
Outer= A X D Inner= B X C Last= B X D |
|
Factoring Polynomials trick
|
One must find the greatest common factor
|
|
Factoring Trinomials trick
|
ax2+bx+c The factor of C must add up to B
X2+7X+10 = (x+2) (x+5) |
|
Complimentary Angles
|
Two angles that add up to 90 degrees
|
|
Supplementary Angles
|
Two angles that add up to 180 degrees
|