Page 1 of 2
Download
Get this sheet
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
SubscribeTry one first: a free Chapter 1 worksheet (PDF, no sign-in).
What's on the worksheet
- Put each equation in standard form, find the discriminant and count real solutions.3x^2 + 5x - 2 = 09x^2 + 12x + 4 = 05x^2 - x + 1 = 0x^2 = 6x - 73x(x + 2) = 1
- Find what Omar's reasoning about the sign of the discriminant misses.
- Say whether the discriminant is positive, zero or negative from a description of the graph.
- Check a student's claim about when a trinomial factors with integers.
- Use the vertex height to find every b that puts the vertex three units below the axis.
- Hannah's triangle garden bed: use the discriminant to find which sizes are possible.
- Solve two equations with a and c swapped and explain the link.
Teach it first
The free lesson teaches it with worked examples and practice problems.
The discriminant and the number of real solutions: the lesson ›More Chapter 11 worksheets: Solving quadratic equations
- 11.1Solving quadratics by factoring
- 11.2Solving quadratics with square roots
- 11.3Completing the square
- 11.4Completing the square, leading coefficient not one
- 11.5Vertex form: reading, converting and graphing
- 11.6Factored form
- 11.7Reading a quadratic in its three forms
- 11.8Deriving the quadratic formula
- 11.9Using the quadratic formula
- 11.10The discriminant and the number of real solutions
- 11.11Maximum, minimum and projectile problems
- 11.12Systems with a curve