Solve a linear equation

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Adrian Jannetta

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Adrian Jannetta

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1 year, 7 months ago

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Adrian Jannetta 1 year, 7 months ago

Gave some feedback: Ready to use

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Adrian Jannetta 7 years, 8 months ago

Created this as a copy of Solve a linear equation

$ax+b = cx+d$ .

Name	Status	Author	Last Modified
Solve a linear equation $ax+b = c$	Ready to use	Lauren Richards	20/11/2019 14:42
Solve a linear equation $ax+b = cx+d$	Ready to use	Christian Lawson-Perfect	20/11/2019 14:42
Solve a linear equation	Ready to use	Adrian Jannetta	31/01/2025 12:31
Ida's copy of Solve a linear equation $ax+b = cx+d$	draft	Ida Landgärds	13/04/2018 09:16

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Question statement

Consider the equation

$\var{d}x-\var{f}=\var{g}x+\var{h}$

Give any introductory information the student needs.

			Name	Type	Generated Value

d	integer	6
f	integer	5
g	integer	4
h	integer	3
x	integer	4
gcd_hfdg	number	2
hf_coprime	number	4
dg_coprime	number	1
finalb	number	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(g+2..8)

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`

← Depends on:

→ Used by:

dg_coprime
gcd_hfdg
h

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

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

What is the value of $x$ ?

$x =$ Unnamed gap

Advice

We are asked to solve the equation

$\var{d}x-\var{f}=\var{g}x+\var{h}$

In this equation, there are $x$ terms and constant terms on both sides of the equals sign.

To solve this equation, we must rearrange it to get $x$ on its own.

$\begin{align} \var{d}x-\var{f} &= \var{g}x+\var{h} \\[0.5em] \var{d}x-\var{g}x &= \var{h}+\var{f} & \text{Move } x \text{ terms to the left, and constant terms to the right.}\\[0.5em] \simplify{{d-g}*x} &= {\var{h+f}} & \text{Collect like terms together.}\\[0.5em] x &=\frac{\var{h+f}}{\var{d-g}} & \text{Divide both sides by } \var{d-g} \text{.} \\[0.5em] x &= \simplify{{h+f}/{d-g}} \end{align}$

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Part	Test	Passed?
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Number entry		Hasn't run yet

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Taxonomy: mathcentre

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Adrian Jannetta 1 year, 7 months ago

Adrian Jannetta 7 years, 8 months ago

Error in variable testing condition

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Generated value: `integer`

Parts

Gap-fill

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Solve a linear equation

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Adrian Jannetta 1 year, 7 months ago

Adrian Jannetta 7 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`