###
**
Solving Equations ((Reference)) - Further Techniques in Equation Solving ((Reference))
**

Solve the equations for the following problems.

#### Exercise 1

##### Solution

#### Exercise 2

#### Exercise 3

##### Solution

#### Exercise 4

#### Exercise 5

##### Solution

#### Exercise 6

#### Exercise 7

##### Solution

#### Exercise 8

#### Exercise 9

##### Solution

#### Exercise 10

#### Exercise 11

##### Solution

#### Exercise 12

#### Exercise 13

##### Solution

#### Exercise 14

#### Exercise 15

##### Solution

#### Exercise 16

#### Exercise 17

##### Solution

#### Exercise 18

#### Exercise 19

##### Solution

#### Exercise 20

#### Exercise 21

##### Solution

#### Exercise 22

#### Exercise 23

##### Solution

#### Exercise 24

#### Exercise 25

##### Solution

#### Exercise 26

#### Exercise 27

##### Solution

#### Exercise 28

#### Exercise 29

##### Solution

#### Exercise 30

#### Exercise 31

##### Solution

#### Exercise 32

#### Exercise 33

##### Solution

#### Exercise 34

#### Exercise 35

##### Solution

#### Exercise 36

#### Exercise 37

##### Solution

#### Exercise 38

#### Exercise 39

##### Solution

#### Exercise 40

#### Exercise 41

##### Solution

#### Exercise 42

#### Exercise 43

##### Solution

#### Exercise 44

#### Exercise 45

##### Solution

#### Exercise 46

#### Exercise 47

##### Solution

#### Exercise 48

#### Exercise 49

##### Solution

#### Exercise 50

#### Exercise 51

##### Solution

#### Exercise 52

#### Exercise 53

##### Solution

#### Exercise 54

#### Exercise 55

##### Solution

###
**Application I - Translating from Verbal to Mathetical Expressions ((Reference))**

For the following problems, translate the phrases or sentences to mathematical expressions or equations.

#### Exercise 56

A quantity less eight.

#### Exercise 57

A number, times four plus seven.

##### Solution

#### Exercise 58

Negative ten minus some number.

#### Exercise 59

Two fifths of a number minus five.

##### Solution

#### Exercise 60

One seventh of a number plus two ninths of the number.

#### Exercise 61

Three times a number is forty.

##### Solution

#### Exercise 62

Twice a quantity plus nine is equal to the quantity plus sixty.

#### Exercise 63

Four times a number minus five is divided by seven. The result is ten more than the number.

##### Solution

#### Exercise 64

A number is added to itself five times, and that result is multiplied by eight. The entire result is twelve.

#### Exercise 65

A number multiplied by eleven more than itself is six.

##### Solution

#### Exercise 66

A quantity less three is divided by two more than the quantity itself. The result is one less than the original quantity.

#### Exercise 67

A number is divided by twice the number, and eight times the number is added to that result. The result is negative one.

##### Solution

#### Exercise 68

An unknown quantity is decreased by six. This result is then divided by twenty. Ten is subtracted from this result and negative two is obtained.

#### Exercise 69

One less than some number is divided by five times the number. The result is the cube of the number.

##### Solution

#### Exercise 70

Nine less than some number is multiplied by the number less nine. The result is the square of six times the number.

###
**Application II - Solving Problems ((Reference))**

For the following problems, find the solution.

#### Exercise 71

This year an item costs $106, an increase of $10 over last year’s price. What was last year’s price?

##### Solution

#### Exercise 72

The perimeter of a square is 44 inches. Find the length of a side.

#### Exercise 73

Nine percent of a number is 77.4. What is the number?

##### Solution

#### Exercise 74

Two consecutive integers sum to 63. What are they?

#### Exercise 75

Four consecutive odd integers add to 56. What are they?

##### Solution

#### Exercise 76

If twenty-one is subtracted from some number and that result is multiplied by two, the result is thirty-eight. What is the number?

#### Exercise 77

If 37% more of a quantity is 159.1, what is the quantit?

##### Solution

#### Exercise 78

A statistician is collecting data to help her estimate the number of pickpockets in a certain city. She needs 108 pieces of data and is

#### Exercise 79

The statistician in problem 78 is eight pieces of data short of being

##### Solution

#### Exercise 80

A television commercial advertises that a certain type of light bulb will last, on the average, 200 hours longer than three times the life of another type of bulb. If consumer tests show that the advertised bulb lasts 4700 hours, how many hours must the other type of bulb last for the advertiser’s claim to be valid?

###
**Linear inequalities in One Variable ((Reference))**

Solve the inequalities for the following problems.

#### Exercise 81

##### Solution

#### Exercise 82

#### Exercise 83

##### Solution

#### Exercise 84

#### Exercise 85

##### Solution

#### Exercise 86

#### Exercise 87

##### Solution

#### Exercise 88

#### Exercise 89

##### Solution

#### Exercise 90

#### Exercise 91

##### Solution

#### Exercise 92

#### Exercise 93

##### Solution

#### Exercise 94

#### Exercise 95

##### Solution

#### Exercise 96

#### Exercise 97

##### Solution

#### Exercise 98

#### Exercise 99

##### Solution

#### Exercise 100

What numbers satisfy the condition: nine less than negative four times a number is strictly greater than negative one?

###
**Linear Equations in Two Variables ((Reference))**

Solve the equations for the following problems.

#### Exercise 101

##### Solution

#### Exercise 102

#### Exercise 103

##### Solution

#### Exercise 104

#### Exercise 105

##### Solution

#### Exercise 106

#### Exercise 107

##### Solution

#### Exercise 108

#### Exercise 109

##### Solution

Comments:"Reviewer's Comments: 'I recommend this book for courses in elementary algebra. The chapters are fairly clear and comprehensible, making them quite readable. The authors do a particularly nice job […]"