Solving Quadratics worksheet
4 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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2 marks
\(x = 2\) is a solution of the equation
\(x^2 - 5x + c = 0\)
Find the value of \(c\).
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4 marks
The width of a rectangle is \(x\) cm.
The length of the rectangle is 5 cm more than its width.
The area of the rectangle is 150 cm².
Find the width of the rectangle.
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3 marks
The solutions of the equation
\(x^2 + bx + c = 0\)
are \(x = -5\) and \(x = -1\).
Calculate the value of \(b\) and the value of \(c\).
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2 marks
\(x = 7\) is a solution of the equation
\(x^2 - 6x + c = 0\)
Calculate the value of \(c\).
Answers
- \(6\)
- \(10\ \text{cm}\)
- \(b = 6\) and \(c = 5\)
- \(-7\)