Solving equations

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Bill Foster

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Has some problems

6 years, 6 months ago

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Bill Foster 6 years, 6 months ago

Gave some feedback: Has some problems

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Bill Foster commented 6 years, 6 months ago

Error message Could not submit answer-check for errors on inputting answers.

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Newcastle University Mathematics and Statistics 9 years, 3 months ago

Created this.

Name	Status	Author	Last Modified
Solving equations	Has some problems	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Luis's copy of Solving equations	draft	Luis Hernandez	30/11/2018 00:50

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Question statement

Solve the following equation for $x$ .

Input your answer as a fraction or an integer as appropriate and not as a decimal.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	6
c	integer	-8
b	integer	-2
d	number	15
s2	integer	-1
s1	integer	-1
b1	integer	-2
t	integer	7
an2	number	138
an1	number	53

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..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

Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only

Gap-fill

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

$\simplify{{t} / ({a} * x + {b}) + {c} = {d}}$

$x=\;$ Unnamed gap

If you want help in solving the equation, click on Show steps. If you do so then you will lose 1 mark.

Input all numbers as fractions or integers and not as decimals.

Advice

Rearrange the equation by adding {-c} to both sides to get:

$\simplify{{t} / ({a} * x + {b}) = {d} + { -c} = {d -c}}$
This gives

$\simplify{({a} * x + {b}) / {t} = 1 / {d -c}}$ (this is because if

$\displaystyle \frac{a}{b}=c$ then

$\displaystyle \frac{b}{a}=\frac{1}{c}$ on turning the fraction round the other way)
and so

$\simplify{({a} * x + {b}) = {t} / {d -c}}$ on multiplying both sides by {t}.
Hence

$\simplify{{a} * x = {t} / {d -c} -{b} = ({a * an1} / {an2})}$
and so

$\simplify{x={an1}/{an2}}$ is the solution on dividing both sides by {a}.

Give a worked solution to the whole question.

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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
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Bill Foster 6 years, 6 months ago

Bill Foster commented 6 years, 6 months ago

Newcastle University Mathematics and Statistics 9 years, 3 months ago

Error in variable testing condition

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Generated value: `integer`

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Solving equations

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Bill Foster 6 years, 6 months ago

Bill Foster commented 6 years, 6 months ago

Newcastle University Mathematics and Statistics 9 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`