Algebra : Solving Linear Equations (2)

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Nasir Firoz Khan

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8 years, 7 months ago

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Nasir Firoz Khan 8 years, 7 months ago

Gave some feedback: Ready to use

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Nasir Firoz Khan 8 years, 7 months ago

Created this as a copy of Q2 (Algebra equations solve for x).

Name	Status	Author	Last Modified
Q1 (Simplify algebra equations)	Ready to use	TEAME CIT	06/10/2016 16:13
Q2 (Algebra equations solve for x)	draft	TEAME CIT	06/10/2016 16:13
Q4 (Calculating area using algebraic equations)	Ready to use	TEAME CIT	06/10/2016 16:14
Calculating area and perimeter using simultaneous equations	draft	Vicky Hall	06/02/2018 13:12
Bokstavregning og parenteser 1	draft	Ida Friestad Pedersen	15/07/2016 11:12
Bokstavregning og parenteser 2	draft	Ida Friestad Pedersen	15/07/2016 11:11
Simplify algebra equations	draft	steve kilgallon	24/08/2017 16:02
Simplify algebra equations	draft	steve kilgallon	23/08/2017 11:19
Simplify algebra equations	draft	steve kilgallon	08/08/2016 15:18
Bokstavregning og parenteser 2	draft	Ida Friestad Pedersen	15/08/2016 14:06
Algebra : Solving Linear Equations (2)	Ready to use	Nasir Firoz Khan	21/11/2016 09:46
Simplify algebra equations L1	draft	steve kilgallon	16/10/2016 10:59
Rational Equation..becomes Linear	draft	Clare Lundon	13/10/2016 10:11
Morten's copy of Bokstavregning og parenteser 1	draft	Morten Brekke	13/10/2016 15:13
Bokstavregning og parenteser 1	draft	Morten Brekke	03/11/2017 08:32
Mock exam 1 Simplify algebra equations L1	draft	steve kilgallon	04/11/2017 14:23
Algebra and parenthesis 1	draft	Robert Førland	04/11/2016 23:35
Herleiden met vereenvoudigingsregels	draft	Johan Maertens	11/02/2017 09:16
Rachel's copy of Algebra and parenthesis 1	draft	Rachel Staddon	20/04/2017 15:04
Brackets	draft	Harry Flynn	30/05/2017 13:10
Regina's copy of Mock exam 1 Simplify algebra equations L1	draft	Regina Kobus	07/11/2017 01:48
Simplify algebra equations BY138	Ready to use	steve kilgallon	12/01/2021 10:29
Marte's copy of Bokstavregning og parenteser 1	draft	Marte Bråtalien	12/04/2018 10:42
Amanda's copy of Morten's copy of Bokstavregning og parenteser 1	draft	Amanda Haslemo	09/11/2018 09:22
mengeling veeltermen	draft	Johan Maertens	03/05/2023 14:24
Simon's copy of Q4 (Calculating area using algebraic equations)	draft	Simon Thomas	25/03/2019 09:59

There are 47 other versions that do you not have access to.

Question statement

Solve for $x$ in the following, to 2 decimal places:

Watch the video below for help with the questions:

Solving Equations

Give any introductory information the student needs.

			Name	Type	Generated Value

num1p	list	[ 8, 3, 9, 10, 4, 6, 2, 7, 5 ]
num1n	list	List of 8 items
ans11	number	-21
ans21	number	-0.7142857143
numh	list	List of 15 items
num3p	list	[ 8, 4, 6, 10, 3, 2, 7, 5, 9 ]
num3n	list	List of 9 items
posa	list	[ 9, 4, 3, 8, 5, 2, 10, 6, 7 ]
nega	list	List of 8 items
ans41	number	-8.7586206897
ans31	number	-1.04
posb	list	[ 5, 3, 7, 4, 9, 10, 6, 8, 2 ]
neg	list	List of 8 items
ans51	number	54

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
shuffle(2..10)[0..9]

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: `list`

[ 8, 3, 9, 10, 4, 6, 2, 7, 5 ]

→ Used by:

ans11
ans21

Advice
"Part a)" - prompt
"Part b)" - prompt

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
1. Step Information only
Part b) Gap-fill
1. Gap Number entry
  Add
1. Step Information only
Part c) Gap-fill
1. Gap Number entry
  Add
1. Step Information only
Part d) Gap-fill
1. Gap 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.

$\var{num1p[0]}x + \var{num1p[1]} = \var{num1p[2]}x + \var{numh[0]}$

$x =$ Unnamed gap

Advice

Part 1:

$x$ :

$\frac{(\var{numh[0]}-\var{num1p[1]})}{(\var{num1p[0]}-\var{num1p[2]})} = \var{ans11}= \var{precround({ans11},2)}$

Part 2:

$x$ :

$\frac{((\var{num1p[7]} \times \var{num1p[6]})-(\var{num1p[4]} \times \var{num1n[2]})}{((\var{num1p[1]} \times \var{num1p[5]})-(\var{num1p[7]} \times \var{num1n[7]})} = \var{ans21}= \var{precround({ans21},2)}$

Part 3:

$x$ :

$\frac{((\var{num3p[4]} \times \var{num3p[5]})+\var{num3p[6]}+(\var{num3n[4]} \times \var{num3n[5]})-\var{num3p[0]}-(\var{num3p[1]} \times \var{num3n[0]})-(\var{num3n[1]} \times \var{num3n[2]}))} {((\var{num3p[1]} \times \var{num3p[2]})+(\var{num3n[1]} \times \var{num3p[3]})-(\var{num3p[4]} \times \var{num3n[3]})-(\var{num3n[4]} \times \var{num3p[7]}))} = \var{ans31}= \var{precround({ans31},2)}$

Part 4:

$x$ :

$\frac{(\var{nega[3]}-\frac{\var{nega[1]}}{\var{posa[1]}}+\frac{\var{posa[5]}}{\var{posa[3]}}-\frac{\var{nega[2]}}{\var{posa[6]}})} {(\frac{\var{posa[2]}}{\var{posa[1]}}-\frac{\var{posa[4]}}{\var{posa[3]}}+\frac{\var{posa[7]}}{\var{posa[6]}})} = \var{ans41}= \var{precround({ans41},2)}$

Part 5:

$x$ :

$\frac{((\var{posb[3]} \times \var{nega[4]}) - (\var{posb[1]} \times \var{posb[5]}))}{((\var{posb[1]} \times \var{posb[4]}) - (\var{posb[3]} \times \var{posb[2]}))} = \var{ans51}= \var{precround({ans51},2)}$

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
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Information only
Gap-fill
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Number entry
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Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
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Gap-fill
Gap-fill		Hasn't run yet
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This question is used in the following exams:

9. Solving Linear Equations by Nasir Firoz Khan in Quantitative Methods for Business: Pre-arrival online assessment .
Refresher by Francis Duah in Francis's workspace.
Solve linear equations by Jinhua Mathias in Core Foundation Maths.
My First Exam by James Robinson in James's workspace.
Week 2 - Practice Exercises by Bobby Kahlon in Bobby's workspace.
Week 1 Homework by Deirdre Casey in IFY DIFC.
Practice Test 2 - MN1105 by Abdul Rehman Shahid in Practice Test - MN1105.
Solving Linear Equations by Jinhua Mathias in Maths 2.
International Summer School: Linear Equations and Inequalities by Rachel Binks in MSP International Summer School.

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Nasir Firoz Khan 8 years, 7 months ago

Nasir Firoz Khan 8 years, 7 months ago

Error in variable testing condition

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Generated value: `list`

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Gap-fill

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Algebra : Solving Linear Equations (2)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Nasir Firoz Khan 8 years, 7 months ago

Nasir Firoz Khan 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`