Solving equations 2

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Lois Rollings

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Lois Rollings 8 years, 7 months ago

Published this.

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Lois Rollings 9 years, 6 months ago

Created this as a copy of Solving equations.

Name	Status	Author	Last Modified
Solving equations	draft	Bill Foster	06/08/2020 08:42
Solving equations 2	draft	Lois Rollings	29/07/2016 13:43

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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	8
c	integer	-5
b	integer	5
d	number	7
s2	integer	-1
s1	integer	1
t	integer	2
b1	integer	5
an2	number	96
an1	number	-58

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Generated value: `integer`

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"Unnamed part" - prompt

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1. Gap Mathematical expression
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$\simplify{{t} / ({a} * x + {b}) + {c} = {d}}$

$x=\;$ Unnamed gap

Advice

We can start by adding {-c} to both sides to get:

$\simplify{{t} / ({a} * x + {b}) = {d -c}}$
Taking the reciprocal of both sides of the equation gives

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

Alternatively we could multiply both sides of the equation by $\simplify{ {a}*x + {b}}$ to give

$\simplify{ {t} = {d-c}({a}*x+{b})}$
Both will give

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

$\simplify{{a} * x = ({a * an1} / {an2})}$
and so

$\simplify{x={an1}/{an2}}$ .

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 9 years, 6 months ago

Error in variable testing condition

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Generated value: `integer`

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Solving equations 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Lois Rollings 8 years, 7 months ago

Lois Rollings 9 years, 6 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`