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Simultaneous equations: linear and quadratic, two points
Draft
The student is given the equations of a line and a circle, and has to find the coordinates of the points of intersection. They're always at integer coordinates.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Christian Lawson-Perfect 5 months, 3 weeks ago
Published this.Kate Henderson 3 years, 10 months ago
Created this as a copy of Simultaneous equations: linear and quadratic, two points.There are 49 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| root1 | integer |
8
|
||||
| root2 | integer |
4
|
||||
| grad | integer |
-3
|
||||
| sroots | integer |
-12
|
||||
| proots | integer |
32
|
||||
| yint | integer |
-6
|
||||
| quadxcoeff | integer |
-15
|
||||
| quadccoeff | integer |
26
|
||||
| ansyvalue | integer |
-18
|
||||
| ansyvalue2 | integer |
-30
|
||||
| minroot | integer |
4
|
||||
| maxroot | integer |
8
|
Generated value: integer
8
→ Used by:
- maxroot
- minroot
- proots
- sroots
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Find the x and y values that satisfy both of the following equations. That is, find the point of intersection of the two curves.
| y | = | {{grad}x+{yint}} | (1) |
| y | = | {x2+{quadxcoeff}x+{quadccoeff}} | (2) |
Give the points of intersection (x1,y1) and (x2,y2) such that x1<x2.
x1=
x2=
Use this tab to check that this question works as expected.
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This question is used in the following exams:
- Session 4 Test Yourself by Kate Henderson in GCSE to Alevel Transition.
- Shweta's copy of Session 4 Test Yourself by Shweta Sharma in Shweta's workspace.
- Week3-Topic1-Simultequations-linear-quadratic by Shweta Sharma in Shweta's workspace.
- Week3-Topic1-Simultequations-linear-quadratic-version2 by Shweta Sharma in Shweta's workspace.
- Open day Numbas taster by Christian Lawson-Perfect in Christian's workspace.