For the following problems, construct a coordinate system and graph the inequality.

### Exercise 1

*((Reference))*

#### Solution

### Exercise 2

*((Reference))*

#### Solution

### Exercise 3

*((Reference))* Plot the ordered pairs

#### Solution

### Exercise 4

*((Reference))* As accurately as possible, label the coordinates of the points that have been plotted on the graph.

#### Solution

### Exercise 5

*((Reference))* What is the geometric structure of the graph of all the solutions to the equation

#### Solution

straight line

### Exercise 6

*((Reference))* In what form is the linear equation in two variables

#### Solution

general form

### Exercise 7

*((Reference))* In what form is the linear equation in two variables

#### Solution

slope-intercept

### Exercise 8

*((Reference))* If an ordered pair is a solution to a linear equation in two variables, where does it lie geometrically?

#### Solution

It lies on the line.

### Exercise 9

*((Reference))* Consider the graph of

#### Solution

2 units up

For the following two problems, find the slope, if it exists, of the line containing the following points.

### Exercise 10

*((Reference))*

#### Solution

### Exercise 11

*((Reference))*

#### Solution

### Exercise 12

*((Reference))* Determine the slope and

#### Solution

### Exercise 13

*((Reference))* As we look at a graph left to right, do lines with a positive slope rise or decline?

#### Solution

rise

For the following problems, find the equation of the line using the information provided. Write the equation in slope-intercept form.

### Exercise 14

*((Reference))*

#### Solution

### Exercise 15

*((Reference))*

#### Solution

### Exercise 16

*((Reference))*

#### Solution

### Exercise 17

*((Reference))*

#### Solution

### Exercise 18

*((Reference))* passes through the points

#### Solution

For the following problems, graph the equation of inequality.

### Exercise 19

*((Reference)-(Reference))*

#### Solution

### Exercise 20

*((Reference)-(Reference))*

#### Solution

### Exercise 21

*((Reference)-(Reference))*

#### Solution

### Exercise 22

*((Reference)—(Reference))*

#### Solution

### Exercise 23

*((Reference)—(Reference))*

#### Solution

### Exercise 24

*((Reference))*

#### Solution

### Exercise 25

*((Reference))* Reading only from the graph, determine the equation of the line.

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 […]"