Prerequisites: Solve a linear equation

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Timur Zaripov

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5 years, 6 months ago

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Timur Zaripov 5 years, 6 months ago

Gave some feedback: Ready to use

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Timur Zaripov 5 years, 7 months ago

Created this as a copy of Solve a linear equation.

Name	Status	Author	Last Modified
Solve a linear equation	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Prerequisites: Solve a linear equation	Ready to use	Timur Zaripov	17/06/2022 09:37

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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	-1
c	integer	2
b	integer	-1
d	integer	-8
an1	integer	-7
an2	integer	-3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-9..9 except 0)

JME function reference

Description

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

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Generated value: `integer`

-1

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
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$\simplify{{a} * x + {b} = {c} * x + {d}}$

$x=\;$ Unnamed gap

Advice

If $\simplify{{a}*x + {b}}=\simplify{{c}*x + {d}}$ , then we first subtract $\var{c}x$ from each side.

We obtain $\simplify{{a}x - {c}x+ {b}}= \var{d}$ .

Next we subtract $\var{b}$ from each side (or add $\var{-b}$ if you prefer - it means the same thing), to obtain $\var{a}x - \var{c}x = \simplify{{d}-{b}}$ .

In other words $\simplify{{a}-{c}}x= \simplify{{d}-{b}}$ .

Now divide both sides by $\simplify{{a-c}}$ to obtain $x=\dfrac{\simplify{{d-b}}}{\simplify{{a-c}}}$ $=\Large{\simplify{{an1}/{an2}}}$ .

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Taxonomy: mathcentre

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Timur Zaripov 5 years, 6 months ago

Timur Zaripov 5 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Prerequisites: Solve a linear equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Timur Zaripov 5 years, 6 months ago

Timur Zaripov 5 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`