Simultaneous equations: simple quadratic and hyperbola, one point

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Ben Brawn

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Ben Brawn

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9 years ago

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Ben Brawn 9 years ago

Gave some feedback: Ready to use

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Ben Brawn 9 years ago

Created this as a copy of Simultaneous equations: linear and quadratic, one point.

Name	Status	Author	Last Modified
Simultaneous equations	Ready to use	Ben Brawn	21/02/2025 09:20
Simultaneous equations: linear and quadratic, one point	Ready to use	Ben Brawn	21/02/2025 08:41
Simultaneous equations: linear and quadratic, two points	Ready to use	Ben Brawn	25/02/2025 00:04
Simultaneous equations: simple quadratic and hyperbola, one point	Ready to use	Ben Brawn	21/02/2025 09:13
Simultaneous equations: linear and hyperbola, two points	Ready to use	Ben Brawn	25/02/2025 04:22
Rob's copy of Simultaneous equations: linear and hyperbola, two points	draft	Rob Cade	07/06/2016 11:00
Francis 's copy of Simultaneous equations: linear and quadratic, one point	draft	Francis Duah	12/08/2016 17:58
Preferred Simultaneous equations	draft	Francis Duah	14/09/2016 13:20
Katherine's copy of Simultaneous equations: linear and quadratic, one point	draft	Katherine Tomlinson	02/08/2017 12:48
Simultaneous equations: linear and quadratic, two points	draft	Katherine Tomlinson	02/08/2017 13:50
Polynomials: Equating coefficients 2 (simultaneous equations)	Ready to use	Ben Brawn	14/09/2017 07:56
Polynomials: Equating coefficients 2 (simultaneous equations)	draft	Paul Hancock	24/07/2018 02:35
Polynomials: Equating coefficients 2 (simultaneous equations) [L4 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 10:46
Polynomials: Equating coefficients 2 (simultaneous equations) [L4 Randomised]	Needs to be tested	Matthew James Sykes	25/07/2018 11:13
cormac's copy of Katherine's copy of Simultaneous equations: linear and quadratic, one point	draft	cormac breen	30/10/2018 15:52
Simultaneous equations	Ready to use	heike hoffmann	14/11/2018 21:12
Intersection: linear and quadratic, two points	Ready to use	heike hoffmann	14/11/2018 22:46
Terry's copy of Simultaneous equations: linear and quadratic, one point	draft	Terry Young	03/04/2019 17:37
Terry's copy of Simultaneous equations: linear and quadratic, two points	draft	Terry Young	03/04/2019 17:37
Simultaneous equations: linear and quadratic, one point	draft	Xiaodan Leng	11/07/2019 06:06
Simultaneous equations: linear and quadratic, two points	draft	Xiaodan Leng	11/07/2019 06:06
Simultaneous equations: simple quadratic and hyperbola, one point	draft	Xiaodan Leng	11/07/2019 06:07
Simultaneous equations: linear and quadratic, two points	draft	Kate Henderson	27/09/2024 10:02

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

xans	integer	6
cubed	number	216
a	integer	4
ak	number	864
b	integer	3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-12..12 except [0,1] )

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

b
cubed

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
1. Step Information only

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.

$y$	$=$	$\simplify{{ak}/({b}x)}$	$(1)$
$y$	$=$	$\simplify{{a}x^2/{b}}$	$(2)$

$x=$ Gap 0., $y=$ Gap 1.

Advice

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only

This question is used in the following exams:

Algebra by James McNaughton in James's workspace.
International Summer School: Simultaneous Equations Involving a Quadratic by Rachel Binks in Rachel's workspace.
Algebra by Dean Ang in Dean's workspace.
Algebra by Chris Templet in Chris's workspace.
Simultaneous equations by Ben Brawn in Algebra.

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Simultaneous equations: simple quadratic and hyperbola, one point

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

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Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Simultaneous equations: simple quadratic and hyperbola, one point

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 9 years ago

Ben Brawn 9 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`