Grade 10 Quadratic Formula Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 Quadratic Formula Practice
Solve each problem. Show your work.
- 1.Solve using the quadratic formula: x^2 + 15x + 56 = 0
- 2.Solve using the quadratic formula: x^2 + 8x + 4 = 0
- 3.Solve using the quadratic formula: x^2 - 5x - 6 = 0
- 4.Solve using the quadratic formula: x^2 + 5x + 4 = 0
- 5.Solve using the quadratic formula: x^2 - 4x - 1 = 0
- 6.Solve using the quadratic formula: x^2 + 8x + 11 = 0
- 7.Solve using the quadratic formula: x^2 - 3x - 10 = 0
- 8.Solve using the quadratic formula: x^2 - 11x + 28 = 0
Show answer key
- Question 1: x = -8, -7
- Question 2: x = (-8 ± √48)/2
- Question 3: x = -1, 6
- Question 4: x = -4, -1
- Question 5: x = (4 ± √20)/2
- Question 6: x = (-8 ± √20)/2
- Question 7: x = -2, 5
- Question 8: x = 4, 7
Next Steps
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About These Worksheets
Grade 10 students use the quadratic formula as a general method for solving quadratic equations, especially when factoring is not practical.
Quadratic formula worksheets help Grade 10 students solve quadratic equations that do not factor easily. Students identify a, b, and c from ax^2 + bx + c = 0, substitute carefully into the formula, simplify the discriminant, and write one or two solutions. The formula is powerful, but it is also unforgiving: sign errors and missed brackets can change the answer completely.
These worksheets include equations with positive and negative coefficients, non-factorable quadratics, and discriminants that produce two, one, or no real solutions. Students practise using the discriminant to predict the number of roots before calculating, which connects algebra to the graph of a parabola. The quadratic formula becomes a dependable fallback whenever factoring or completing the square is inefficient, making it an essential tool for Grade 10 and beyond.
Skills Practised
- Identifying a, b, and c in standard form
- Substituting values into the quadratic formula
- Simplifying the discriminant
- Determining the number of real solutions
- Checking solutions in the original equation
Parent Tip: Most parents will not want to rework the formula by hand. Compare the answer key, then check that your teen copied a, b, and c correctly or use photo checking to catch sign mistakes.