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