Q7 (simultaneous equations to solve forces in a system, and solve for x)

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TEAME CIT

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8 years, 9 months ago

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TEAME CIT 8 years, 9 months ago

Gave some feedback: Ready to use

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TEAME CIT 8 years, 9 months ago

Published this.

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TEAME CIT 9 years, 4 months ago

Created this as a copy of Q12 (simultaneous equations to solve forces in a system).

Name	Status	Author	Last Modified
Q3 (simultaneous equations, solve for x and y)	draft	TEAME CIT	06/10/2016 16:14
Q7 (simultaneous equations to solve forces in a system, and solve for x)	Ready to use	TEAME CIT	06/10/2016 16:15
Simultaneous equations to solve forces in a system	draft	Vicky Hall	06/02/2018 13:11

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Question statement

The forces $F_1$ and $F_2$ in a system are described by the simultaneous equations given below.

Solve for $F_1$ and $F_2$ :

Correct to one decimal place!!

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	9
b	integer	5
c	number	31.1
a1	integer	5
b1	integer	2
c1	number	14.4
ans1	number	1.4
ans2	number	3.7
num1	integer	4
num2	integer	7
num3	integer	9
ans	rational	-15/7

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(6..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: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

$\simplify{{a}F_1 + {b}F_2 = {c}}$

$\simplify{{a1}F_1 + {b1}F_2 = {c1}}$

$F_1$ : Gap 0.

$F_2$ : Gap 1.

Advice

Have a look at this youtube video to understand simultaneous equations better: Simultaneous Equations

Part 1:

To find $F_1$ :

$\frac{((\var{b} \times \var{c1}) - (\var{b1} \times \var{c}))}{((\var{a1} \times \var{b}) - (\var{a} \times \var{b1}))} = \var{ans1}$

To find $F_2$ :

$\frac{(\var{c1} - (\var{a1} \times \var{ans1}))}{\var{b1}} = \var{ans2}$

Part 2:

$\frac{(-\var{num3} - (\var{num1}*\var{num3}))}{((\var{num1}*\var{num2})-\var{num2})} = \var{ans}$

Give a worked solution to the whole question.

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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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

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Q7 (simultaneous equations to solve forces in a system, and solve for x)

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Taxonomy: mathcentre

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Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q7 (simultaneous equations to solve forces in a system, and solve for x)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

TEAME CIT 8 years, 9 months ago

TEAME CIT 8 years, 9 months ago

TEAME CIT 9 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`