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Section 12.3 Deliberate Practice: Graphing Lines

Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.

Focus on these skills:

  • Write the original equation.

  • Pick integer coordinate points. The problems are written to work with a grid that ranges from to in both axes, but you may use a larger grid if you want.

  • Grids are not included. You can either buy a pad of graph paper or use printable graph paper from internet (which you should be able to find for free).

  • Present your work legibly.

Worksheet Worksheet

Instructions: Find four solutions of the equation, then plot the points and sketch the solution.

1.

\(x + y = 3\)

2.

\(-2x + y = 1\)

3.

\(x - y = 0\)

4.

\(x + 2y = 3\)

5.

\(3x - 2y = 1\)

6.

\(-x + 3y = 2\)

7.

\(x - 2y = 0\)

8.

\(2x - 3y = -1\)

9.

\(3x - y = 1\)

10.

\(2x + 4y = 4\)