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Algebra Voc 1-3

Terms

undefined, object
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real numbers
rational numbers and irrational numbers
similar figures
have the same shape but not necessarily the same size
rational numbers
any number that you can write in the form a/b
cross products
the proportion a/b = c/d
unit analysis
conversion factor will produce the appropriate unit
scale factor
dimensions of the new image to the dimensions of the original figure
irrational numbers
can not be expressed in the form a/b - non-repeating, never ending
scale
corresponding actual distance
dilation
transformation in which a figure and its image are similar
coefficient
numerical factor of a term
term
a #, a variable, or the product of a # and one or more variables
matrix
is a rectangular arrangement of #'s in rows & columns
like terms
have exactly the same variables & exponents
reciprocal
given a nonzero rational # a/b, it would be b/a.
simplify
to replace an expression with its simplest form
exponent
tells how many times a number
whole numbers
counting numbers + zero
algebraic expression
1/3x + 7/8 is an example of a mathematical phrase that can include numbers, variables, and operation symbols
integers
whole numbers and their opposites
variable
a symbol - usually a letter that represents one or more numbers
equation
15 + 3x = 21 is an example of what type of mathematical sentence
inequality
32 > -100 is an example of what type of mathematical sentence
one
the product of a nonzero number and its multiplicative inverse
constant
term that has no variable
counterexample
an example that proves a statement is false
identity
equation that is true for every value
open sentence
equation that contains one or more variables
proportion
equation that states that two ratios are equal
multiplicative inverse
reciprocal
consecutive integers
integers 50 and 51 are consecutive integers & so are -10, -9, -8
absolute value
the distance a # is from 0 on a number line
opposites
a # that is the same distances from zero on a number line . Ex. -7 & 7
power
has two parts - a base and an exponent. In the form a^n
additive inverse
the opposite of a number
uniform motion
object that moves at a constant rate is said
scale drawing
enlarged or reduced drawing that is similar to an actual object
natural numbers
counting numbers
base
used as a factor
evaluate
to substitute a given number for each variable, and then simplify
element
each # in a matrix

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