Chapter 0 - Prerequisite Algebra For Calculus

Question 1

What is a variable?

Answer 1

Pg. 2

Question 2

Why do we use variables?

Answer 2

Pg. 2

Question 3

What is an algebraic expression?

Answer 3

Pg. 2

Question 4

What mathematical operations are used within algebraic expressions?

Answer 4

Pg. 2

Question 5

Are you able to think of examples of algebraic expressions?

Answer 5

Pg. 2

Question 6

What is exponential notation?

Answer 6

Pg. 2

Question 7

Why would you use exponential notation?

Answer 7

Pg. 2

Question 8

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

Answer 8

Pg. 2

Question 9

What does it mean to evaluate an algebraic expression?

Answer 9

Pg. 3

Question 10

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

Answer 10

Pg. 3

Question 11

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

Answer 11

Pg. 3

Question 12

What are the steps involved in the order of operations?

Answer 12

Pg. 3

Question 13

When should you use the order of operations?

Answer 13

Pg. 3

Question 14

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

Answer 14

Pg. 3-5

Question 15

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

Answer 15

Pg. 3-5

Question 16

What is a formula?

Answer 16

Pg. 3-5

Question 17

What do formulas do?

Answer 17

Pg. 3-5

Question 18

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

Answer 18

Pg. 3-5

Question 19

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

Answer 19

Pg. 3-5

Question 20

What is a mathematical model?

Answer 20

Pg. 3-5

Question 21

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

Answer 21

Pg. 3-5

Question 22

What is a set?

Answer 22

Pg. 5-6

Question 23

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

Answer 23

Pg. 5-6

Question 24

What are the two notations used for representing sets?

Answer 24

Pg. 5-6

Question 25

What are the characteristics of the roster method?

Answer 25

Pg. 5-6

Question 26

Why would you use an ellipses in set notation?

Answer 26

Pg. 5-6

Question 27

What are the characteristics of the set-builder notation?

Answer 27

Pg. 5-6

Question 28

What is the definition of the intersection of sets?

Answer 28

Pg. 5-6

Question 29

What logic is used in the intersection of sets?

Answer 29

Pg. 5-6

Question 30

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

Answer 30

Pg. 5-6

Question 31

What is a set called if it is empty?

Answer 31

Pg. 5-6

Question 32

What Greek letter is used to represent an empty set?

Answer 32

Pg. 5-6

Question 33

What is the definition of the union of sets?

Answer 33

Pg. 5-6

Question 34

What logic is used in the union of sets?

Answer 34

Pg. 5-6

Question 35

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

Answer 35

Pg. 5-6

Question 36

What are subsets?

Answer 36

Pg. 6-8

Question 37

How does inheritance work with subsets?

Answer 37

Pg. 6-8

Question 38

What does the approximately equal look like?

Answer 38

Pg. 6-8

Question 39

Why would you use the approximately equal to symbol?

Answer 39

Pg. 6-8

Question 40

What are the subsets of the real number?

Answer 40

Pg. 6-8

Question 41

What symbol is used to represent natural numbers?

Answer 41

Pg. 6-8

Question 42

Can you provide a description and examples of natural numbers?

Answer 42

Pg. 6-8

Question 43

What symbol is used to represent whole numbers?

Answer 43

Pg. 6-8

Question 44

Can you provide a description and examples of whole numbers?

Answer 44

Pg. 6-8

Question 45

What symbol is used to represent integers?

Answer 45

Pg. 6-8

Question 46

Can you provide a description and examples of integers?

Answer 46

Pg. 6-8

Question 47

What symbol is used to represent rational numbers?

Answer 47

Pg. 6-8

Question 48

Can you provide a description and examples of rational numbers?

Answer 48

Pg. 6-8

Question 49

What symbol is used to represent irrational numbers?

Answer 49

Pg. 6-8

Question 50

Can you provide a description and examples of irrational numbers?

Answer 50

Pg. 6-8

Question 51

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

Answer 51

Pg. 6-8

Question 52

What is the real number line?

Answer 52

Pg. 8

Question 53

What is the origin?

Answer 53

Pg. 8

Question 54

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

Answer 54

Pg. 8

Question 55

What is the distance between 0 and 1 called?

Answer 55

Pg. 8

Question 56

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

Answer 56

Pg. 8

Question 57

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

Answer 57

Pg. 8