for Sumi's shop
Systems of Linear Inequalities — Easy Worksheet 2
Grade 9 · MathSheets Name: ____________________ Date: __________
Answer yes or no, or write the inequality. A dashed boundary line means < or >; a solid line means ≤ or ≥.
How to solve
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Example
Is P(0, 5) a solution of the system y > -3x and y > 3x + 3? Answer yes or no.
Answer: yes
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(2, -3) a solution of the system y < 3x + 4 and y > -3x - 4? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(-3, -7) a solution of the system y < -2x + 4 and y > 3x + 1? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(-2, 2) a solution of the system y > 3x + 4 and y < 2x - 4? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(1, -4) a solution of the system y > x + 4 and y < 2x - 3? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(-2, 6) a solution of the system y < -3x + 1 and y > -2x? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(2, -5) a solution of the system y < -3x + 3 and y < 3x - 3? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(-1, -7) a solution of the system y < -2x - 4 and y < 3x - 3? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Systems of Linear Inequalities
A point is a solution of a system only if it makes every inequality true. Substitute its x- and y-values into each inequality and check. On a graph, the solutions are in the region where the shadings overlap; points on a dashed line are not included.
Try a similar one
Is P(1, 4) a solution of the system y > 2x and y > -2x + 3? Answer yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Systems of Linear Inequalities — Easy Worksheet 2
Answer yes or no, or write the inequality. A dashed boundary line means < or >; a solid line means ≤ or ≥.