Algebra 1 · Chapter 3 · Lesson 3.12 · Printable PDF

Standard Form of a Line Worksheet with Answer Key

6 problems on standard form of a line: writing equations with integer coefficients, finding slope and intercepts, finding a missing coefficient, fixing a conversion, choosing k, and a garden budget with two plants. 2 pages, with a worked answer key.

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

  1. Write each equation in standard form using the usual convention.
    -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, x-intercept and y-intercept of each line.
    5x - 2y = 20-x + 4y = -69x + 6y = 4y - 3x = 12
  3. Find the coefficient A for a line through a given point, then give its slope and x-intercept.
  4. Test Kofi's standard form against a point of the original line, then find his mistake.
  5. Find the value of k that gives a line with a stated slope, intercept or direction.
  6. Hannah's garden budget: write and use an equation for rose bushes and lavender plants.

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Standard form of a line: the lesson ›