Grade 10 Quadratic Relations Worksheets
Free printable quadratic relations practice for Grade 10 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- Quadratic Relations from TablesIdentify quadratic relations by examining second differences in tables of values.
- Properties of ParabolasIdentify the key features of a parabola (vertex, axis of symmetry, zeros, direction of opening).
- Factoring QuadraticsFactor polynomial expressions involving common factors, trinomials, and differences of squares.
- Solving by FactoringSolve quadratic equations by factoring and relate solutions to x-intercepts of the graph.
- Completing the SquareSolve quadratic equations by completing the square.
Practice Worksheet
Quadratic Relations Practice
Solve each problem. Show your work.
- 1.Find the vertex and the axis of symmetry for the quadratic relation y = 2x² - 8x + 5.
- 2.Factor the quadratic expression: 3x² + 7x - 6.
- 3.A ball is thrown upwards from a height of 1.5 meters. Its height 'h' in meters after 't' seconds is given by the equation h(t) = -4.9t² + 15t + 1.5. Find the maximum height the ball reaches.
- 4.Convert the quadratic relation y = x² + 6x - 2 into vertex form y = a(x-h)² + k.
- 5.Use the quadratic formula to find the roots of the equation 2x² - 5x - 3 = 0.
- 6.A farmer wants to fence a rectangular field. He has 100 meters of fencing. If one side of the field is along a river and does not need fencing, what are the dimensions of the field that will maximize the area?
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Grade offline workFrequently Asked Questions
How often should my child practice quadratic relations?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.