Chapter 0 - Prerequisite Algebra For Calculus Flashcards
What is a variable?
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Why do we use variables?
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What is an algebraic expression?
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What mathematical operations are used within algebraic expressions?
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Are you able to think of examples of algebraic expressions?
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What is exponential notation?
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Why would you use exponential notation?
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If you were to look at exponential notation, what number is the base and what number is the exponent?
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What does it mean to evaluate an algebraic expression?
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When evaluating an algebraic expression with more than one variable, what should you use?
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Why should you follow the order of operations when evaluating an algebraic expression?
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What are the steps involved in the order of operations?
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When should you use the order of operations?
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What is an equation / what do you need to make an equation?
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What is one of the aims of algebra and what do you need in order to aid it?
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What is a formula?
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What do formulas do?
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Can you think of any examples of formulas used in real world phenomena?
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What is the process of finding formulas to describe real world phenomena called?
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What is a mathematical model?
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What is model breakdown and how do we know it has occurred?
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What is a set?
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What is set notation / can you represent integers as a set?
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What are the two notations used for representing sets?
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What are the characteristics of the roster method?
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Why would you use an ellipses in set notation?
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What are the characteristics of the set-builder notation?
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What is the definition of the intersection of sets?
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What logic is used in the intersection of sets?
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Are you able to draw a Venn diagram to represent the intersection of sets?
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What is a set called if it is empty?
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What Greek letter is used to represent an empty set?
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What is the definition of the union of sets?
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What logic is used in the union of sets?
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Are you able to draw a Venn diagram to represent the union of sets?
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What are subsets?
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How does inheritance work with subsets?
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What does the approximately equal look like?
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Why would you use the approximately equal to symbol?
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What are the subsets of the real number?
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What symbol is used to represent natural numbers?
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Can you provide a description and examples of natural numbers?
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What symbol is used to represent whole numbers?
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Can you provide a description and examples of whole numbers?
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What symbol is used to represent integers?
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Can you provide a description and examples of integers?
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What symbol is used to represent rational numbers?
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Can you provide a description and examples of rational numbers?
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What symbol is used to represent irrational numbers?
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Can you provide a description and examples of irrational numbers?
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Can you describe the real set of numbers using set-builder notation?
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What is the real number line?
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What is the origin?
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How can you determine the negative from the positive side of the real number line?
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What is the distance between 0 and 1 called?
Pg. 8
Are you able to draw what the real number line graph looks like?
Pg. 8
As the Real Number line corresponds to every real number, what is this called?
Pg. 8
