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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