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What is an algebraic expression? When numbers and variables are combined using the operations of arithmetic. a + b
What is an algebraic sentence? Consists of expressions related with a verb.The most common verbs in algebra are = ≥ ≤ a + b = b + a
Evaluating expressions and formulas must follow rules, what are they? Order of operations 1st perform operations within bracket( ) [ ] 2nd Take powers 3rd Multiply and divide in order from left to right 4th Add and subtract from left to right
What is an equation? a sentence stating that two expressions are equal.
what is a formula? an equation stating that a single variable is equal to an expression with one or more diff variables on the other side. d = ½gt
What is a function? a funcion is a correspondence or pairing between two variables such that each value of the first (independent) variable corresponds to exactly one value of the secnd (dependent) variable.
Which is the dependent and independent variable in this equation? P = 5H Is P a function of H? P is dependent variable its value depends on the number of hours worked. H is independent variable. Yes
What is the domain of a functon? the set of values which are allowable substitutions for the independent variable.
What is the range of a function? the set of values of the independent variable.
What is referred to as the input? The substitutions for the independent variable.
What is referred to as the output? The resulting values of the dependent variable.
What is the purpose of a notation? parentheses do not stand for multiplication. Instead, they enclose the independent variable. ie; T(x) = Speed, B(x)= Braking time, S(x) = Stopping distance
Mapping Notations state what? both the name of the function and the independent variable.
What is a relation? any set of ordered paris, thus every function is a relation.
Example of Distributive Property For all real numbers a, b and c. c(a + b) = ca +cb
Example of the Opposite of a Sum Theorem For all real numbers a and b. -(a + b) = -a + -b
Created by: millerlucas8