by nspencer
Dive into the world of mathematical inequalities where two variables play a crucial role. This quiz will challenge your understanding of graphing inequalities, interpreting solutions, and applying these concepts to real-world scenarios. Sharpen your pencils and get ready to prove your mathematical prowess!
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Inequalities in Two Variables Quiz Questions Overview
1. Which of the following is the correct graph of the inequality y > 2x + 3?
A line with a slope of 2 and a y-intercept of 3, shaded above
A line with a slope of 2 and a y-intercept of 3, shaded below
A line with a slope of -2 and a y-intercept of 3, shaded above
A line with a slope of -2 and a y-intercept of 3, shaded below
2. What is the solution set for the inequality 3x – 4y ≤ 12?
All points on and below the line 3x – 4y = 12
All points on and above the line 3x – 4y = 12
All points on and below the line 3x + 4y = 12
All points on and above the line 3x + 4y = 12
3. Which of the following points is a solution to the inequality y < -x + 5?
(0, 6)
(1, 4)
(-1, 6)
(2, 2)
4. What is the boundary line for the inequality y ≥ -3x + 1?
y = -3x + 1
y = 3x + 1
y = -3x – 1
y = 3x – 1
5. Which inequality represents the region above the line y = 4x – 2?
y > 4x – 2
y < 4x - 2
y ≥ 4x – 2
y ≤ 4x – 2
6. If a point (x, y) lies in the solution region of the inequality 2x + y ≤ 5, which of the following points is not in the solution region?
(1, 2)
(2, 1)
(0, 5)
(3, 0)
7. Which inequality represents the region below the line y = -2x + 3?
y < -2x + 3
y > -2x + 3
y ≤ -2x + 3
y ≥ -2x + 3
8. Which of the following inequalities is satisfied by the point (0, 0)?
y > x + 1
y < x - 1
y ≥ -x
y ≤ -x – 1
9. What is the slope of the boundary line for the inequality y ≤ 1/2x – 4?
1/2
-1/2
2
-2
10. Which of the following inequalities represents a horizontal line?
y ≥ 3
x ≤ 3
y > 2x + 1
x > -2
11. What is the y-intercept of the boundary line for the inequality y < 3x + 2?
2
-2
3
-3
12. Which of the following points is not a solution to the inequality y ≥ -x + 4?
(0, 4)
(1, 3)
(-1, 5)
(2, 1)
13. Which inequality represents the region above the line y = -1/2x + 6?
y > -1/2x + 6
y < -1/2x + 6
y ≥ -1/2x + 6
y ≤ -1/2x + 6
14. What is the x-intercept of the boundary line for the inequality y > 2x – 8?
4
-4
8
-8
15. Which of the following inequalities represents a vertical line?
x ≥ 5
y ≤ 5
y > 3x – 2
y < -x + 1
16. Which of the following points is a solution to the inequality y ≤ 1/3x + 2?
(3, 3)
(0, 2)
(6, 5)
(3, 1)
We recommend that you do not leave the page that you are taking this quiz in. Stay honest 🙂
