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Algebra
algebra formulas and definitions
| Question | Answer |
|---|---|
| whole numbers | counting numbers and 0: 0, 1, 2, 3, ... |
| integers | positive whole numbers, their opposites, and zero: ..., -3, -2, -1, 0, 1, 2, 3, ... |
| rational numbers | written as decimals, rational numbers terminate or repeat. |
| irrational numbers | irrational numbers are numbers that cannot be writteen as fractions and dont terminate. |
| variable | a letter or a symbol used to represent a value |
| constant | a number or variable that doesnt change |
| - | minus, less than, diffrence |
| + | addition, more than, plus |
| / | divided by, quotient |
| x | times, product |
| absolute value | a numbers distance from zero on a number line. it is indicated as |#| |
| opposites | two numbers are opposites if their sum is zero. a number and its oppposite are the same distance from zero. They have the same absalute value. |
| additive inverse | a number and its opposite. |
| +++ | positive |
| -+- | positive |
| ++- | negative |
| -++ | negative |
| exponent | tells how many times the base is used as a factor. |
| base | is the number that is used as a factor. |
| perfect square | is a number whose positive square root is a whole number. |
| natural numbers | counting numbers |
| whole numbers | are counting numbers and zero |
| integers | whole numbers and their opposites |
| rational numbers | can be expressed in the form a/b where a and b are both inetegrs and b |
| terminating decimals | are rational numbers in decimal form that have a finite number of digits |
| Repeating | decimals are rational numbers in decimal form that have a block of one or more digits that repeat continuisly. |
| P.E.M.D.A.S | parentheses, exponents, multiply or divide, add or subtract |
| associative property | when you are only adding or multiplying you can group any of the numbers together. |
| equation | contains 2 variables can be used as a rule to generate ordered pairs. |
| ordered pair | (x,y) |
| function notation | y=f(x) |
| one-ste equation | isolate the variable by inverse operations, you must do the same exact thing on the other side. |
| Two-step equation | isolate the variable by inverse operations |
| when solving inequalities... | multiply or divide by a negative #, flip!!! |
| linear function | is a function whose graph forms a straight line. |
| y intercept | where the graph intersects the y-axis. |
| x intercept | where the graph intercets the x-axis |
| rate of change | is a ratio that compares teh amount of change in a dependent variable to the amount of change in an independent variable. |
| rise | is the difference in the y-value of two points on a line. |
| run | is the diffrence in the x-value of two points on a line. |
| slope | is the ratio of rise to run for any two points on the line. |
| positive slope | line rises from left to right |
| negative slope | line falls from left to right |
| zero slope | horizontal line |
| undefined slope | vertical line |
| Direct Variation | is special type of linear relationship that can be written in the form y=kx, when k is a non-zero conctant called the constant of variation. |
| real numbers | Real numbers include all rational and irrational numbers. |
Created by:
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