Systems with a quadratic: a line and a parabola, a line and a circle, two parabolas
Grade 11 Math Worksheet - Building Confidence
Circle the best answer.
Jun tests the point (-2, 5) in the system y = x² + 1 and y = -x + 1. Which is true?
- On neither
- On both, so it is a solution
- On the line only
- On the parabola only
Luz tests the point (3, 7) in the system y = x² − 2 and y = 2x + 1. Which is true?
- On neither
- On both, so it is a solution
- On the parabola only
- On the line only
Milo tests the point (-3, 4) in the system y = x² − 5 and y = 2x + 10. Which is true?
- On both, so it is a solution
- On neither
- On the line only
- On the parabola only
Noah tests the point (1, 4) in the system y = x² + 3 and y = 3x. Which is true?
- On both, so it is a solution
- On the parabola only
- On the line only
- On neither
Pia sets y = x² + 2x − 3 equal to y = 4x + 5 and moves everything to one side. Which equation is that?
- x² + 6x − 8 = 0
- x² − 2x − 8 = 0
- x² − 2x + 8 = 0
- x² − 2x + 2 = 0
Ren sets y = x² − x + 4 equal to y = 3x − 1 and moves everything to one side. Which equation is that?
- x² − 4x − 5 = 0
- x² − 4x + 5 = 0
- x² − 4x + 3 = 0
- x² + 2x + 5 = 0
Zee sets y = x² + 3x + 1 equal to y = -2x + 7 and moves everything to one side. Which equation is that?
- x² + 5x + 6 = 0
- x² + 5x − 6 = 0
- x² + x − 6 = 0
- x² + 5x + 8 = 0
Esme sets y = x² − 4x − 2 equal to y = -x − 6 and moves everything to one side. Which equation is that?
- x² − 3x + 4 = 0
- x² − 3x − 8 = 0
- x² − 5x + 4 = 0
- x² − 3x − 4 = 0
Luz puts a line into a parabola and gets x² + 6x + 9 = 0. How many points do the line and the parabola share?
- Two points
- No points
- One point
Milo puts a line into a parabola and gets x² − 2x − 8 = 0. How many points do the line and the parabola share?
- Two points
- One point
- No points