## Contents

- 1 Algebra
- 1.1 Convert to interval notation
- 1.2 State the following intervals using set notation
- 1.3 Which one of the following is a true statement?
- 1.4 Evaluate the following expressions
- 1.5 Simplify the following
- 1.6 Find the roots of the following polynomials
- 1.7 Factor the following expressions
- 1.8 Simplify the following

- 2 Functions
- 3 Graphing

## AlgebraEdit

### Convert to interval notationEdit

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

### State the following intervals using set notationEdit

11.

12.

13.

14.

15.

16.

### Which one of the following is a true statement?Edit

Hint: the true statement is often referred to as the *triangle inequality.* Give examples where the other two are false.

17.

18.

19.

### Evaluate the following expressionsEdit

20.

21.

22.

23.

24.

25.

26.

27.

28.

### Simplify the followingEdit

29.

30.

31.

32.

33.

34.

35.

36.

### Find the roots of the following polynomialsEdit

37.

38.

39.

40.

41.

42.

43.

44.

### Factor the following expressionsEdit

45.

46.

47.

### Simplify the followingEdit

48.

49.

50.

51.

## FunctionsEdit

52. Let .

a. Compute , , and .

b. What are the domain and range of ?

c. Does have an inverse? If so, find a formula for it.

53. Let , .

- a. Give formulae for

i.

ii.

iii.

iv.

v.

vi.

vii.

viii.

b. Compute and .

c. Do and have inverses? If so, find formulae for them.

55. Consider the following function

a. What is the domain?

b. What is the range?

c. Where is continuous?

56. Consider the following function

a. What is the domain?

b. What is the range?

c. Where is continuous?

57. Consider the following function

a. What is the domain?

b. What is the range?

c. Where is continuous?

58. Consider the following function

a. What is the domain?

b. What is the range?

c. Where is continuous?

## GraphingEdit

59. Find the equation of the line that passes through the point (1,-1) and has slope 3.

60. Find the equation of the line that passes through the origin and the point (2,3).