Simultaneous Equations with integers as solutions.

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steve kilgallon

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steve kilgallon 8 years, 7 months ago

Created this as a copy of Jinhua's copy of Simultaneous Equations with integers as solutions..

Name	Status	Author	Last Modified
Simultaneous Equations with integers as solutions.	Ready to use	Bill Foster	01/06/2016 09:47
Jinhua's copy of Simultaneous Equations with integers as solutions.	Ready to use	Jinhua Mathias	28/08/2024 12:15
CF Maths January test mock paper Simultaneous Equations with integers as solutions.	Ready to use	Jinhua Mathias	28/08/2024 12:15
Tony's copy of Jinhua's copy of Simultaneous Equations with integers as solutions.	Ready to use	Tony Zerrer	01/06/2016 09:47
Andrew's copy of Tony's copy of Jinhua's copy of Simultaneous Equations with integers as solutions.	Ready to use	Andrew Dunbar	01/06/2016 09:47
Simultaneous Equations with integers as solutions.	draft	steve kilgallon	05/09/2016 11:49
Simultaneous Equations with integers as solutions.	draft	Francis Duah	14/09/2016 12:24
Mock exam Simultaneous Equations with integers as solutions.	draft	steve kilgallon	04/11/2017 14:24
Simultaneous Equations (1)	draft	Hannah Bartholomew	18/11/2016 09:43
Simultaneous Equations Chemistry	draft	steve kilgallon	09/11/2016 15:22
Dietmar's copy of Simultaneous Equations Chemistry	draft	Dietmar Zenker	01/02/2018 13:23

There are 9 other versions that do you not have access to.

Question statement

This question is set up by working "backwards" i.e. given the integer solutions for $x$ and $y$ and their coefficients gives the right-hand side of the equations.

I have also insisted that the the coefficients in both equations are coprime and that, in order not to get degenerate equations, the determinant of the coefficients is non 0. Look at Testing in Variables to see this.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-9
b	integer	-1
c	integer	-2
d	integer	-9
x	integer	-5
y	integer	-2
f	integer	47
g	integer	28

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-10..10 except 0)

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`

-9

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Mathematical expression
  Add
2. Gap Gap 1. Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Solve the simultaneous equations:

$\simplify[all,!noLeadingMinus]{{a}x+{b}y = {f}}$

$\simplify[all,!noLeadingMinus]{{c}x+{d}y = {g}}$

$x=\;$ 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.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

simultaneous equations by steve kilgallon in Algebra 1.
BY138 tutorial 3b (simultaneous equations) by steve kilgallon in BY138.
simultaneous equations by steve kilgallon in Algebra 1.

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Simultaneous Equations with integers as solutions.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

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History

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Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Simultaneous Equations with integers as solutions.

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`