Algebraic Expressions Terms
Get down with the lingo
Associative PropertyThe rule that states that the sum and product of 3 or more numbers are the same no matter how you group them. For example: (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).
Algebraic ExpressionAn expression that contains one or more terms and operations to be combined. Each term contains variable(s), constant(s), or products of variables and constants. Once you've simplified an expression, it's considered "post-op." Might be nice if you swung by for a visit, or maybe brought it a stuffed teddy bear.
AreaThe amount of space inside the boundary of a closed shape. As in, "there is x room to fit all the aliens inside Area 51."
CircleA closed figure wherein points on the boundary are equidistant from the fixed center. More importantly, it's the shape of a pizza pie.
CoefficientA number or a constant multiplied by a term in an algebraic expression. Coefficients always go first. Or is that "ladies"…?
Commutative PropertyThe rule that states that changing the order of the operands, or the numbers on which an operation is performed, does not change the answer. Addition and multiplication on numbers are commutative properties, whereas division is not. You hear that, division? We want you off our commutative property, or we are calling the authorities.
ConstantA value that doesn't change, like pride in one's football team. Exception: the entire Philadelphia Eagles fan base.
Dependent VariableA variable in a function that changes based on the independent variable. It's very flexible. You should see what it can do with its legs.
Distributive PropertyThe rule where multiplication of numbers distributes over addition and subtraction: a(b ± c) = ab ± ac. Start distributin' the news.
EquationA string of mathematical symbols and/or variables that states the equality of two algebraic expressions. Equations: bringing expressions together since 1931.
Equivalent EquationsTwo different equations that have the same solution(s). However, one of them is bound to argue that he thought of it first.
Equivalent ExpressionTwo different expressions in which the values obtained after substituting variables are equal. They must have gotten such strong values from their parents.
ExponentAn item that denotes the number of times the base number is to be multiplied. It is small and raised, like the hand of an Oompa-Loompa who has a question.
FactoringThe act of breaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression. It's worlds of fun to pull out factors. In fact, you haven't lived until you have been to a factor pull.
FactorizationThe act of expressing a number as the product of its factors. Factorization is not unique. Ooh, that was kinda harsh. For example, 24 can be factorized as 8 × 3 and 6 × 4.
FormulaAn expression used to determine the relationship between two or more variables. It can also be gleaned by checking its status on Facebook.
FunctionA relation between two sets, input and output, such that for each input, there is exactly one output. A function is commonly denoted as f (x), where x is the input and f (x) is the output. Not to be confused with FX, which outputs only edgy and original programming.
Greatest Common Factor (GCF)The largest positive integer that divides evenly into two or more non-zero numbers. For example, the GCF of 18 and 24 is 6.
It's also known as the greatest common divisor or highest common factor. It goes by many names, and has a different passport for each. How Jason Bourne is that?