Algebra Flashcards
Quiz 1
Quantity
Anything that can be measured or counted
Variable Quantities
Values that can change or vary
Variable
A symbol, usually a letter, that represents the value of a quantity.
algebraic expression
a mathematical phrase that includes one or more variables.
numerical expression
a mathematical phrase involving numbers and operation symbols, but no variables
power
has a base part and an exponent part
exponent
tells you how many times to use the base as a factor
factor
numbers that are multiplied to find a product
base
the factor that is repeated in a power
simplify
a numerical expression that is replaced with its single numerical value
evaluate
replacing each variable with a given number and calculate
perfect square
the square of an integer
square roots
the number that was multiplied by itself to find a product
principal square root
non-negative square root
radicand
expression under the square root symbol
radical
square root symbol and radicand together
set
a well-defined collection of objects
elements
each object in a set
subset
consists of elements from within the given set
rational numbers
any number that you can write as a fraction. i.e. 1/2
natural numbers
counting numbers starting at one and going higher {1,2,3,…}
whole numbers
counting numbers and including zero. i.e. {0,1,2,3,…}
integers
whole numbers and including their opposites. i.e. {…-2,-1,0,1,2,…}
irrational numbers
cannot be written as a fraction
real numbers
the set of rational and irrational numbers
equivalent expressions
algebraic expressions that have the same value for all values of the variables
commutative properties
order of addition doesn’t matter; order of multiplication doesn’t matter
associative properties
order of addition doesn’t matter; order of multiplication doesn’t matter
additive identity property
adding zero to a value keeps the value the same
zero property of multiplication
the product of a value and zero is always zero
multiplication property of -1
the product of a value and -1 is always the opposite of the value.