8th Grade Math (Math 8) · Chapter 5 · Lesson 5.5 · Printable PDF

Standard Form of a Line Worksheet with Answer Key

6 problems on standard form of a line: writing equations in standard form with integer coefficients, intercepts and slope, finding A, finding Kofi's mistake, finding k, and a budget for plants. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Standard form of a line worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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What's on the worksheet

  1. Write each equation in standard form with integer coefficients:
    -6x + 9y = 123y = 5x - 70.4x + 0.6y = 2x = \dfrac{3}{4}y + 2\dfrac{x}{2} - \dfrac{y}{3} = 1
  2. Find the slope, the x-intercept and the y-intercept of each line:
    5x - 2y = 20-x + 4y = -69x + 6y = 4y - 3x = 12
  3. Find A for a line through a point, then its slope and x-intercept.
  4. Test Kofi's standard form against a point of the original line and find his mistake.
  5. Find the value of k that gives a line of a given slope, intercept or direction:
  6. Word problem: Hannah's 140 dollars spent on rose bushes and lavender plants.

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Standard form of a line: the lesson ›