1. Graph the line y = 2x - 4. Since the inequality is y > 2x - 4, use a dashed line and shade the region above the line.
2. Graph the line y = 2x + 1. Since the inequality is y > 2x + 1, use a dashed line and shade the region above the line.
3. Graph the line y = (1/2)x + 3. Since the inequality is y ≥ (1/2)x + 3, use a solid line and shade the region above the line.
4. Graph the line y = (1/2)x - 6. Since the inequality is y ≤ (1/2)x - 6, use a solid line and shade the region below the line.
5. Graph the line y = x + 1. Since the inequality is y < x + 1, use a dashed line and shade the region below the line.
6. Graph the line y = 2x - 8. Since the inequality is y > 2x - 8, use a dashed line and shade the region above the line.
7. Graph the line y = 2. Since the inequality is y > 2, use a dashed horizontal line and shade the region above the line.
8. Graph the line y = 4. Since the inequality is y < 4, use a dashed horizontal line and shade the region below the line.
9. Graph the line y = 2x - 2. Since the inequality is y > 2x - 2, use a dashed line and shade the region above the line.
10. Graph the line 2x + 4y = 12. Rewrite as y = - (1/2)x + 3. Since the inequality is y ≤ - (1/2)x + 3, use a solid line and shade the region below the line.
11. Graph the line y = (1/2)x + 2. Since the inequality is y > (1/2)x + 2, use a dashed line and shade the region above the line.
12. Graph the line 4x - 12y = 24. Rewrite as y = (1/3)x - 2. Since the inequality is 4x - 12y ≥ 24 (which is equivalent to y ≤ (1/3)x - 2), use a solid line and shade the region below the line.
13. Graph the line 2x + 4y = 12. Rewrite as y = - (1/2)x + 3. Since the inequality is 2x + 4y ≥ 12 (which is equivalent to y ≥ - (1/2)x + 3), use a solid line and shade the region above the line.
14. Graph the line y = 2x + 2. Since the inequality is y < 2x + 2, use a dashed line and shade the region below the line.
15. Graph the line y = (1/2)x + 2. Since the inequality is y ≥ (1/2)x + 2, use a solid line and shade the region above the line.
16. Graph the line -2x + 8y = 16. Rewrite as y = (1/4)x + 2. Since the inequality is -2x + 8y > 16 (which is equivalent to y > (1/4)x + 2), use a dashed line and shade the region above the line.
Parent Tip: Review the logic above to help your child master the concept of graphing linear functions worksheet pdf.
