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Question | Answer |
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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 |