# Unit 4 Practice Test

Final answers are boxed.

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## Multiple Choice

**Identify the choice that best completes the statement or answers the question.**

### Write an equation of the line with the given slope and y-intercept.
1. slope: 
   y-intercept: 9  
   a. y = -x + 9  
   b. y = 9x + 1

### Write an equation of the line that passes through the given points.
- Points: (-4,-1),(0,-1)
  
m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-1+(-1)}{-4-0} = \frac{-2}{-4} = 0  
  y = (-x)1

### Write an equation in point-slope form of the line that passes through the given point and has the given slope.
- Given:  (-5, 4); m=\frac{4}{5}  
  a. y = \frac{4}{5}x  
  b. y - 4 = \frac{4}{5}(x + 5)

### Write an equation in slope-intercept form of the line shown.
- Points: (-4,4)
  
  y = mx + b
  4 = \frac{9}{3}(-4) + b  
  4 + \frac{8}{3} = b  
  \frac{20}{3} = b
  
  y = \frac{2}{3}x + \frac{20}{3}  
  
  ### Write an equation of the line that passes through the given point and is perpendicular to the given line.
  - Given: (1,0); y = \frac{1}{2}\frac{1}{2}+\frac{5}{0}  
  a. y = 2x + 2

### Describe the path taken from school to library.
- y = -x - 5

**Correlation:**
- c. no

### Write the next three terms of the arithmetic sequence.
- 11, 18, 25, 32, **39**, **46**, **53**  
  - a. 39, 46, 53

### Graph the function. Describe the domain and range.
10. y = { x - 3, if x < 0; 3x, if x \geq 0 }
  - Domain: all real numbers  
  - Range: y < -3, y \geq 0

### Write an equation for the nth term of the arithmetic sequence. Then find a_{10}.
11. -3, 6, 15, 24, ...  
- a_{n} = 9n - 12; a_{10} = 87

### Identify one or more choices that best complete the statement or answer the question.
12. Which two pairs of points lie on parallel lines? Find slope of all lines.
- a. (2,0),(-5,7)  
- b. (4,-13),(-6,-3)  
- c. (5,-4),(7,-2)

### Evaluate the function f when x = 1.
- f(x) = {x - 3, if x < 2; 3x - 2, if x \geq 2}
  - 1 - 3 = -2.

### Matching
- Match the equation to the description of the line.
  - a. y - 7.5 = \frac{5}{2}(x - 5)
  - b. f(-7) = -22.5, f(5) = 7.5  
  - c. passes through (4,-5), slope = \frac{1}{2}