Systems of inequalities: is this point a solution, and graph the overlap
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Noah plots points with whole-number x and y from 0 to 6. How many points make both y > x and x + y ≤ 6 true?
Pia plots points with whole-number x and y from 0 to 6. How many points make both y ≥ 2x and x + y < 7 true?
Ren plots points with whole-number x and y from 0 to 5. How many points make both y < x + 3 and 2x + y ≥ 5 true?
Zee shades y > 2x - 1 and y < -x + 8. The two boundary lines meet at a corner of the overlap. Which point is the corner?
- (4, 7)
- (0, -1)
- (5, 3)
- (3, 5)
Bo shades y > 3x - 4 and y < -x + 12. The two boundary lines meet at a corner of the overlap. Which point is the corner?
- (0, -4)
- (8, 4)
- (4, 8)
- (5, 11)
Kira graphs y ≥ 2x - 3 and y ≤ 2x + 1. Where is the overlap of the two shaded sides?
- Only the points on the line
- A strip between the two lines
- No point makes both true
- Everything above both lines
Luz graphs y > x + 5 and y < x + 1. Where is the overlap of the two shaded sides?
- Everything above both lines
- No point makes both true
- Only the points on the line
- A strip between the two lines
Milo graphs y > -x + 6 and y < -x + 2. Where is the overlap of the two shaded sides?
- A strip between the two lines
- Everything above both lines
- Only the points on the line
- No point makes both true
Noah graphs y ≥ 2x + 3 and y ≤ 2x + 3. Where is the overlap of the two shaded sides?
- Only the points on the line
- A strip between the two lines
- Everything above both lines
- No point makes both true
Pia graphs y ≥ -x + 9 and y ≤ -x + 9. Where is the overlap of the two shaded sides?
- A strip between the two lines
- No point makes both true
- Only the points on the line
- Everything above both lines