Systems of Inequalities

Math ⇒ Algebra

Systems of Inequalities starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Systems of Inequalities. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 9

Describe the steps to graph the solution set of a system of two linear inequalities.

Explain how to test if a point is a solution to a system of inequalities.

Explain why the point (0,0) is not a solution to the system: y > 2x + 1 and x > 0.

Explain why the solution set of a system of inequalities is often shown as a shaded region on a graph.

Given the system: x + y > 3 and x - y < 1, find a point that is a solution.

Given the system: y > 2x - 1 and y < 2x + 3, what is the range of possible y-values for x = 1?

Given the system: y > 2x and y < 2x + 5, what is the width of the solution region for a fixed x?

Given the system: y ≤ 4 and y ≥ 1, what is the solution set for y?

If a system of inequalities has infinitely many solutions, what does this mean about the solution region?

If the system of inequalities has no solution, what is this called?

Solve the system of inequalities: y > x and y < 2x. What is the region described by the solution?

Solve the system: x + y ≥ 4 and x - y ≤ 2. Give one solution.

Solve the system: x ≥ 0, y ≥ 0, and x + y ≤ 5. What is the shape of the solution region?

Solve the system: y ≤ 2x + 1 and y ≥ x - 2. Give the y-value when x = 1.