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# Pre-Algebra Notes

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

Term | Meaning |
---|---|

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