math
what property states that the order of addends and factors can be reversed with affecting the answer
commutative
what property states that regrouping can be done within expressions containing 2 or more operations without affecting the answer
associative property
which property states that when a number is multiplied by a Sam or difference it can be multiplied by each member of the sum or difference without affecting the answer
The distributive property
When the atoms have the same sign what do you do
Add the numbers and keep the sign
when the addends have different signs what do you do
Subtract a smaller absolute value from the larger absolute value and keep the sign of the larger
if there are more than two addenda what do you do
combine all the positive addends and then all the negative addends before combining the two sums
when there is an odd number of negative factor is the final product will be
Negative
when there is an even number of negative factor is the final product will be
Positive
The answer to 3 times -6 times -2 equals
positive 36 because the problem has an even number of negative factors
recall that when any numbers multiplied by zero the product will be zero no matter how many factors are included if one of the factors is zero the product will be
Zero
when an ordered list of numbers follows a pattern it is called a
sequence
Each number in the sequence is called a
term
A sequence in which a specific number is added to each term in order to calculate the next term is an
Arithmetic sequence
The number that is added to each term of an arithmetic sequence is the
common difference
Which number in the sequence is called a
term
The sign of the common difference will determine the order for the
arithmetic sequence
And negative common difference indicates a
Descending sequence
The sequence starts with eight and has a common difference of -5 the next term in the sequence
five Less the previous term
when a sequence is Given but the common difference is not stated the next term of the sequence can still be found how
subtract the first term from the second term to find the common difference of the sequence
A sequence in which each term is multiplied by a specific number in order to calculate the next term
A geometric sequence
The number that each term of the geometric sequence is multiplied by is
Common ratio
The common ratio can be a positive or negative integer or
fraction
for instance the sequence 1, -3, 9, -27,... Has a common ratio of
-3
When the common ratio was not given the next term of the sequence sequence can still be found how
divide the second term by the first term to find the common ratio of the sequence
A letter that represents an unknown value or number is a
Variable
in algebra numbers are called constants because
they are known and fixed (they will not change)
fractions are often used to represent
division
in algebra factors are numbers letters or symbols that are being
multiplied
what is a numerical coefficient
it's when a variable is multiplied by a constant to the constant is called a numerical coefficient
What is a term
A term is a group of one or more factors
what is a constant term
A fixed number (a constant)
A variable term is a
Combination of constant and variable factors
Polynomial is a
algebraic expression containing a single term or multiple terms separated by addition or subtraction signs
What is a minomial
A polynomial of one term
A binomial is a polynomial of
Two terms
A polynomial Of three terms is a
Trinomial
what is the formula
a formula is a rule written using variables
The process of substituting letters with there a numerical values and simplifying is called
Evaluation
-10+23=?
13
A positive plus a positive equals a
positive