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Pre-Algebra Notes

Alexis' Pre-Algebra- Angles, Unit Price, Tax, Interest, PEMDAS, 6 types of #s

TermMeaning
GEOMETRIC RELATIONS... ******************************************************************** ********************************************************************
an angle rhw measure of the space between 2 rays that meet. Angles are measured in degreese.
an acute angle measured less than 90°.
a right angle measures exactly 90°. We use a box to show the right angle in it.
an obtuse angle measures more than 90° but less than 180°.
a straight angle meansures 180° or exactly a half circle.
a reflex angle measures more than 180° but less than 360° (1/2 - full circle).
Rays sides of the angels.
Vertex the meeting point of the rays.
Complementary angels 2 angels whose measures add up to 90°.
Supplementary angels 2 angels whose measures add up to 180°.
Adjacent angels 2 angels that share a ray.
Linear Pair 2 angels that are suplementary AND adjacent.
Vertical angels Angles opposite of one another when 2 lines intercect. They are congruent.
Congruent Having the same shape and size.
*SHAPES...* ******************************************************************** ********************************************************************
Obtuse triangle A triangle with 1 obtuse angle.
Equilateral triangle Has 3 congruent sides.
Isosceles triangle has 2 equal sides
*SIDES OF A RIGHT TRIANGLE...* ******************************************************************** ********************************************************************
Legs Sides that make up the right angle.
Hypotenuse The side across from the right angle. *Always the longest side of a right triangle.
*(something important...* ******************************************************************** ********************************************************************
Ratio A comparison between two values. (ex: with 3 boys and 9 girls: 1:3)
Proportion (blank)
Unit Price (blank)
Percent (blank)
*SALESTAX...* ******************************************************************** ********************************************************************
What is it? Money you pay on an item you purchase (sales tax rate: % of tax).
Where does it go? Stave gov: roads, schools.
What is taxed? Prepared food (restaurant), CDs, DVDs, candy.
What is NOT taxed? Food, clothing.
Tax Formula tax amount/ticket price= tax rate/100
Interest Money charged/paid for the use of money.
Principal Original ammount borrowed/deposited.
Rate Percent of the interest (writen as a decimal).
Time Amount in time (in years) that the money is borrowed/saved.
*INTEREST...* ******************************************************************** ********************************************************************
Interest Money charged/paid for the use of money.
Principal Original ammount borrowed/deposited.
Rate Percent of the interest (writen as a decimal).
Time Amount in time (in years) that the money is borrowed/saved.
Formula I=p•r•t
*PEMDAS...* ******************************************************************** (order to solve a problem based on the sings.)
P Parenthesis
E Exponentials (power of #)
MD Multiplication/Division
AS Addition/Subtraction
Numonic way to remember: Please Excuse My Dear Aunt Sally
*NUMBERS...* ******************************************************************** ********************************************************************
Natural numbers Counting numbers seen in nature. (N)
Whole numbers Natural numbers + 0 (that's it!). (W)
Intergers Whole numbers plus their opposites. (Z)
Rational numbers All combinations of fractions (positive & negative). (Q)
Irrational numbers Any non terminating, non repeating decimal. (O with line on top)
Real numbers Every single number.
*TERMS...* ******************************************************************** ********************************************************************
Term Number, variable, or product of numbers and variables (terms
Numerical Term A term with only numbers
Variable Term A term with at least one variable (ex: 5x, -2x, 3xy, xy)
Combining Like Terms Focus on the coefficients (the number in the terms). Follow the interger rules to combine them. 2) Then just add them.
(continued...) An expression is simplified when all its like terms are combined, and there are no parenthesis left.
Created by: Alexis9009