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24 Cards in this Set

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consists of solving equations or manipulating expressions which contain symbols (usually letters, like x, y or z) as well as numbers
Associative Property of Addition
When you add any three real numbers, the grouping (or association) of the numbers does not affect the result.

a + (b + c) = (a + b) + c
the numeral that is multiplied by the variables. Sometimes it is referred to as the numerical coefficient
Commutative Property of Addition
The order in which you add two numbers does not affect the result.

a + b = b + a
Commutative Property of Multiplication
The order in which you multiply two numbers does not affect the result.

ab = ba
If there is no variable in the term, then that terms is called the constant term.
defining a variable
the first step in writing an equation

choosing a variable and a quantity for the variable to represent
Distributive Property
For any numbers a, b, and c:

a(b + c) = ab + ac


(b + c)a = ba + ca
a number sentence that says one expression is equal to another. It is formed by placing an equals sign between the two expressions.
Finding the value of an expression is called evaluating the expression.
an equation that is true for all values of the variable.

If you try to solve the equation on the right, you find that 0=0.
Identity Property of Addition
When 0 is added to any real number, the sum is equal to the given number.

a + 0 = a and 0 + a = a
Identity Property of Multiplication
When you multiply any given real number by 1, the product is equal to the given number.

a*1 = a and 1*a = a
a positive whole number (+1, +2, +3..), a negative whole number ( -1,-2,-3...), or zero. It is not a decimal number.
like terms
Two terms in an expression are called like terms (or similar terms) if they have the same variable(s) raised to the same powers.
Multiplicative Property of Zero
the product of a number and zero is zero

a*0 = 0 and 0*a = 0
an expression is in simplest form when...
it has no like terms and no grouping symbols
Finding the number that can be substituted for the variable that makes the sentence true
replace a variable with a constant.
numbers or variables that are added to or subtracted from each other
a letter that represents a number. (It can represent different numbers at different times, but it represents the same number each place it appears in an expression.)
Associative Property of Multiplication
When you multiply any three real numbers, the grouping (or association) of the numbers does not affect the result

a(bc) = (ab)c
a collection of numbers, operation signs, and symbols of inclusion (parentheses, brackets, radical sign, vinculums).
An expression does not have an equal sign.
a mathematical sentence that contains greater than or less than symbols