Chapter 0 - Prerequisite Algebra For Calculus Flashcards

1
Q

What is a variable?

A

Pg. 2

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2
Q

Why do we use variables?

A

Pg. 2

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3
Q

What is an algebraic expression?

A

Pg. 2

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4
Q

What mathematical operations are used within algebraic expressions?

A

Pg. 2

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5
Q

Are you able to think of examples of algebraic expressions?

A

Pg. 2

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6
Q

What is exponential notation?

A

Pg. 2

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7
Q

Why would you use exponential notation?

A

Pg. 2

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8
Q

If you were to look at exponential notation, what number is the base and what number is the exponent?

A

Pg. 2

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9
Q

What does it mean to evaluate an algebraic expression?

A

Pg. 3

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10
Q

When evaluating an algebraic expression with more than one variable, what should you use?

A

Pg. 3

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11
Q

Why should you follow the order of operations when evaluating an algebraic expression?

A

Pg. 3

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12
Q

What are the steps involved in the order of operations?

A

Pg. 3

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13
Q

When should you use the order of operations?

A

Pg. 3

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14
Q

What is an equation / what do you need to make an equation?

A

Pg. 3-5

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15
Q

What is one of the aims of algebra and what do you need in order to aid it?

A

Pg. 3-5

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16
Q

What is a formula?

A

Pg. 3-5

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17
Q

What do formulas do?

A

Pg. 3-5

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18
Q

Can you think of any examples of formulas used in real world phenomena?

A

Pg. 3-5

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19
Q

What is the process of finding formulas to describe real world phenomena called?

A

Pg. 3-5

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20
Q

What is a mathematical model?

A

Pg. 3-5

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21
Q

What is model breakdown and how do we know it has occurred?

A

Pg. 3-5

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22
Q

What is a set?

A

Pg. 5-6

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23
Q

What is set notation / can you represent integers as a set?

A

Pg. 5-6

24
Q

What are the two notations used for representing sets?

A

Pg. 5-6

25
Q

What are the characteristics of the roster method?

A

Pg. 5-6

26
Q

Why would you use an ellipses in set notation?

A

Pg. 5-6

27
Q

What are the characteristics of the set-builder notation?

A

Pg. 5-6

28
Q

What is the definition of the intersection of sets?

A

Pg. 5-6

29
Q

What logic is used in the intersection of sets?

A

Pg. 5-6

30
Q

Are you able to draw a Venn diagram to represent the intersection of sets?

A

Pg. 5-6

31
Q

What is a set called if it is empty?

A

Pg. 5-6

32
Q

What Greek letter is used to represent an empty set?

A

Pg. 5-6

33
Q

What is the definition of the union of sets?

A

Pg. 5-6

34
Q

What logic is used in the union of sets?

A

Pg. 5-6

35
Q

Are you able to draw a Venn diagram to represent the union of sets?

A

Pg. 5-6

36
Q

What are subsets?

A

Pg. 6-8

37
Q

How does inheritance work with subsets?

A

Pg. 6-8

38
Q

What does the approximately equal look like?

A

Pg. 6-8

39
Q

Why would you use the approximately equal to symbol?

A

Pg. 6-8

40
Q

What are the subsets of the real number?

A

Pg. 6-8

41
Q

What symbol is used to represent natural numbers?

A

Pg. 6-8

42
Q

Can you provide a description and examples of natural numbers?

A

Pg. 6-8

43
Q

What symbol is used to represent whole numbers?

A

Pg. 6-8

44
Q

Can you provide a description and examples of whole numbers?

A

Pg. 6-8

45
Q

What symbol is used to represent integers?

A

Pg. 6-8

46
Q

Can you provide a description and examples of integers?

A

Pg. 6-8

47
Q

What symbol is used to represent rational numbers?

A

Pg. 6-8

48
Q

Can you provide a description and examples of rational numbers?

A

Pg. 6-8

49
Q

What symbol is used to represent irrational numbers?

A

Pg. 6-8

50
Q

Can you provide a description and examples of irrational numbers?

A

Pg. 6-8

51
Q

Can you describe the real set of numbers using set-builder notation?

A

Pg. 6-8

52
Q

What is the real number line?

A

Pg. 8

53
Q

What is the origin?

A

Pg. 8

54
Q

How can you determine the negative from the positive side of the real number line?

A

Pg. 8

55
Q

What is the distance between 0 and 1 called?

A

Pg. 8

56
Q

Are you able to draw what the real number line graph looks like?

A

Pg. 8

57
Q

As the Real Number line corresponds to every real number, what is this called?

A

Pg. 8