Unit 4 Practice Test

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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.

  1. 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}.

  1. -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.

  1. 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}