Unit 4: Equivalent Expressions
Order of Operations
A rule for evaluating expressions; First perform the operations in parenthesis, then compute powers and roots, the perform all of the multiplication and division from left to right, the perform all of the addition and subtraction from left to right.
constant
A value that does not change
Algebraic expression
An expression that contains at least one variable
variable
a symbol used to represent a quantity that can change
Commutative Property of Addition
the property of that states that two or more numbers can be added in any orders without changing the sum
Associative Property of Addition
the property that states all real numbers a, b, and c, the sum is always the same,regardless of their grouping
Commutative Property of Multiplication
the property that states that two or more numbers can be multiplied in any orders without changing the sum
Identity Property of Addition
the property that states the sum of zero and any number is that number
evaluate
to find the value of a numerical or algebraic expression
like term
two or more terms that have the same variable raised to the same power
Numerical Expressions
An expression that contains only numbers and operations.
equivalent expression
Expressions that have the same value for all of the values of the variables
Associative Property of Multiplication
For all numbers a,b, and c ab×c=(a×b)×c=a×(b×c)
Power
The number produced by raising a base to an exponent
Exponent
The number that indicates how many times the base is used as a factor
coefficient
The number that is multiplied by the variable in an algebraic expression
term
The part of an expression that are added or subtracted
Distributive Property
The property that sates if you multiply a sum by a number you will get the same result if you multiply each addend by that number and then add products.
Identity Property of Multiplication
The property that states that the product of 1 and any number that i that number.
Base
When a number is raised to the power, the number that is used as a factor is the base