Part I: Equations and Inequalities
1. Solve the following equations.
a. 3x - 5 = 10
```
3x = 15
x = 5
```
b. 2(x - 3) = 16
```
2x - 6 = 16
2x = 22
x = 11
```
c. 4(x + 2) = 28
```
4x + 8 = 28
4x = 20
x = 5
```
d. 5x + 3 = 28
```
5x = 25
x = 5
```
e. 6 - 2x = 10
```
-2x = 4
x = -2
```
2. Solve the following inequalities.
a. 3x - 5 > 10
```
3x > 15
x > 5
```
b. 2(x - 3) > 16
```
2x - 6 > 16
2x > 22
x > 11
```
c. 4(x + 2) > 28
```
4x + 8 > 28
4x > 20
x > 5
```
d. 5x + 3 > 28
```
5x > 25
x > 5
```
e. 6 - 2x > 10
```
-2x > 4
x < -2
```
Part II: Graphing
1. Graph the following equations.
a. y = x + 2
```
(graph of a line with slope 1 and y-intercept 2)
```
b. y = -2x + 3
```
(graph of a line with slope -2 and y-intercept 3)
```
c. y = x^2 - 4
```
(graph of a parabola with vertex at (0, -4))
```
2. Graph the following inequalities.
a. y > x + 2
```
(graph of the region above the line y = x + 2)
```
b. y > -2x + 3
```
(graph of the region above the line y = -2x + 3)
```
c. y > x^2 - 4
```
(graph of the region above the parabola y = x^2 - 4)
```