Rearranging equations to find the value of unknown variable

Error

There was an error loading the page.

Contributors

steve kilgallon

History

○

steve kilgallon 8 years, 7 months ago

Created this as a copy of Algebra VI: Rearranging equations to find the value of unknown variable.

Name	Status	Author	Last Modified
Rearrange linear equations to find value of an unknown	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Algebra VI: Rearranging equations to find the value of unknown variable	Ready to use	Nasir Firoz Khan	09/09/2016 13:51
Rearranging equations to find the value of unknown variable	draft	steve kilgallon	30/10/2023 10:02
Richard's copy of Algebra VI: Rearranging equations to find the value of unknown variable	draft	Richard Miles	14/09/2016 09:55
W2a: Rearrange linear equations to find value of an unknown	Ready to use	Timur Zaripov	01/10/2022 11:26
Ugur's copy of Algebra VI: Rearranging equations to find the value of unknown variable	Ready to use	Ugur Efem	11/11/2021 09:20
Ugur's copy of Rearranging equations to find the value of unknown variable	Ready to use	Ugur Efem	04/11/2021 15:34

There are 20 other versions that do you not have access to.

Question statement

Solve the following equations for $y$ . Enter your answers as fractions, such as 2/3, or integers but not decimals.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	6
c	integer	4
b	integer	11
d	integer	4
g	rational	11/2
f	rational	5/2
k	integer	8
j	integer	7
m	integer	8
n	integer	2
q	decimal	dec("3.500")
p	rational	11/6
s	integer	12
t	integer	7
z	decimal	dec("-0.800")
h	integer	2
w	integer	7
o	integer	-4
u	integer	5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5..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`

→ Used by:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

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.

$\var{a}y + \var{d} = \var{b} +\var{c}y$

$y=\;$ Unnamed gap

Advice

Use the following steps in both parts to solve for unknown:

Part a)

1. Bring the terms of given variable to one side by changing signs.

Ex- $\var{a}y - \var{c}y$ = $\var{h}y$

2. Take all the constants to one side by changing signs

Ex- $\var{b}- \var{d}$ = $\var{w}$

3. Solving for y, we get-

$\ y$ = $\frac {\var{w}}{\var{h}}$

Part b)

1. Bring the terms of fractions of variables to one side by changing signs.

Ex- $\frac{\var{m}}{{y}} - \frac{\var{s}}{{y}} = \frac{\var{o}}{{y}}$

2. Take all the constants to one side by changing signs

Ex- $\var{t}- \var{n}$ = $\var{u}$

3. Solving for y, we get-

$\ y$ = $(\frac {\var{o}}{\var{u}})$

For futther help, check this video-

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only

This question is used in the following exams:

Level 1 (rearranging equations) by steve kilgallon in Algebra 1.
Rearranging Equations C by steve kilgallon in Algebra 1.
BY138 tutorial 2c (Rearranging Equations A) by steve kilgallon in BY138.
Rearranging Equations A by steve kilgallon in Algebra 1.
Transposition by Katie Bullen in Katie's workspace.
BY138 (coursework part 4) Rearranging Equations A 2021 by steve kilgallon in BY138.
IY445 practice by John Wick in John's workspace.
BY438 (coursework part 2) 2024 by steve kilgallon in BY138.

Loading...

Error

Rearranging equations to find the value of unknown variable

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Rearranging equations to find the value of unknown variable

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

steve kilgallon 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`