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What's on the worksheet
- Multiply out each quadratic expression, write it in standard form and name a, b and c.2(x - 3)^2 + 1(5 - x)(2x + 1)\dfrac{(x + 4)(x - 2)}{2}3 - x(4x - 7)(3x + 1)^2 - 5x
- Say whether each two-letter expression is quadratic in x and in y.x^2 + 4xy - y(x + y)^2 - x^23x^2 - y^3 + y\dfrac{x^2}{5} + \dfrac{2}{y}
- Check a student's claim that an expression is cubic.
- Photo and card mat: write the area of the mat in terms of the border width.
- Open-top box: write the volume and the outside surface area.
- Theater balcony: write the total seats as a function of the number of rows.
- Find the one value in a table of a quadratic rule that was copied wrong.
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The free lesson teaches it with worked examples and practice problems.
What makes an expression quadratic: the lesson ›More Chapter 9 worksheets: Quadratic functions and their graphs
- 9.1What makes an expression quadratic
- 9.2The shape of a parabola
- 9.3The vertex and the axis of symmetry
- 9.4Graphing from standard form
- 9.5Roots, zeros and x-intercepts
- 9.6Intercepts and zeros of a function
- 9.7Increasing, decreasing, constant, positive and negative intervals
- 9.8Turning points, maximums and minimums
- 9.9Maximum, minimum and range of a quadratic function
- 9.10Quadratic functions in context