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Test2_Sections 2.1-3.4

Terms

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combining like terms
adding or subtracting the terms with the same variables or constant terms together
subtraction
difference, minus, subtracted from, less than, decreased by, less
Quotient of Different Signs
(+)(-)= - or (-)(+)= -
terms
the addends of an algebraic expression
first-degree equations in one variable
the exponent is 1,there is only one variable and it is not below a fraction bar
integers
consist of the numbers labeled on the number line (whole numbers)
subtracting integers
change the sign to addition and change the sign behind to the oppostite
additive inverse
another name for the opposite of a number
expression
can be simplfied, but not solved
when crossing the equal sign
do the opposite function (adding/subtracting & multiplying/dividing)
absolute value
the number's distance from 0 on the number line
<
"less than" symbol, to the left of
Product of Like Signs
(+)(+)=+ or (-)(-)= -
variable term
a term that contains a variable
equals sign
equals, gives, is/was, yields, amounts to, is equal to
commutative property
when adding, numbers order can be switched around without changing the answer
simplified
when all like terms have been combined in an algebraic expression
negative numbers
numbers that extend to the left on the number line or less than 0
simplify
get terms in lowest possible
solution
a number that when subsituted for a variable makes the equation a true statement
addition
sum, plus, added to, more than, increased by, total
>
"greater than" symbol, to the right of
like terms
terms with the same coefficient
what you do to one side of the equal sign
you must do to the other
Quotient of Like Signs
(+)(+)=+ or (-)(-)= -
positive numbers
numbers that extend to the right on the number line or greater than 0
adding different signed numbers
larger absolute value minus the smaller absolute value, and keep sign of the larger number
distributive property
multiplication distributes over addition (and subtraction)
associative property
when adding, the numbers can be grouped differently without change the answer
signed numbers
positive numbers, negative numbers, and zero
constant terms
terms that are only a number
equation
has to have an equal sign and can be solved
linear equations in one variable
the exponent is 1,there is only one variable and it is not below a fraction bar
equivalent equations
have the same solution
average
(sum of numbers) / (number of numbers)
multiplication
product, times, multiply, twice, of, double
numerical coefficient
the number factor of a variable term
PEMDAS
order of operations, parentheses, exponents,multiplication, division, addition, subtraction
opposite numbers
same numbers with different signs
multiplication property of equality
the same number may be multiplied to or divided from both sides of an equation without changing the solution
division
quotient, divide, shared equally among, per, divided by, divided into
opposites
two numbers that are the same distance from 0 on the number line but opposite sides
Product of Different Signs
(+)(-)= - or (-)(+)= -
addition property of equality
the same number may be added to or subtracted from both sides of an equation without changing the solution

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