Transpose formula with square root

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of HELM books :

Merryn Horrocks

said

Ready to use

1 year, 2 months ago

History

○

Merryn Horrocks 1 year, 2 months ago

Published this.

○

Merryn Horrocks 1 year, 2 months ago

Gave some feedback: Ready to use

○

Don Shearman 3 years, 9 months ago

Created this as a copy of Transpose linear formula.

Name	Status	Author	Last Modified
Transpose linear formula	Ready to use	Don Shearman	13/02/2024 00:09
Transpose formula with square root	Ready to use	Don Shearman	13/02/2024 00:55
Transpose linear formula 3 variables	Ready to use	Don Shearman	13/02/2024 01:43

There is one other version that you do not have access to.

Question statement

Transpose the formula $v=\sqrt{\simplify{x+{a}*y}}$ to make $\var{selected_variable}$ the subject.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-9
variables	list	[ latex("x"), latex("y") ]
sel_variable	integer	1
selected_variable	string	y
answer	expression	(1/(-9))(v^2 - x)

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..9)*random(1,-1)

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`

-9

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

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

$\var{selected_variable}=$ Unnamed gap

Advice

$\begin{align}v&=\sqrt{\simplify{x+{a}*y}}\\ v^2 &= \simplify{x+{a}*y}\qquad\text{square both sides}\\ \simplify{v^2-{a}y} &=x\qquad\text{move }\var{a}y\text{ to the other side}\\x&= \simplify{v^2-{a}y} \end{align}$

$\begin{align}v&=\sqrt{\simplify{x+{a}*y}}\\ v^2 &= \simplify{x+{a}*y}\qquad\text{square both sides}\\ \simplify{v^2-x} &=\var{a}y \qquad\text{move }x\text{ to the other side}\\ \simplify{(v^2-x)/{a}} &= y\qquad\text{divide by }\var{a}\\y&=\simplify{(v^2-x)/{a}} \end{align}$

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

This question is used in the following exams:

Formulae and Transposition by Don Shearman in HELM books.
HELM Book 1.5 exercises by Merryn Horrocks in HELM books.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 2 months ago

Merryn Horrocks 1 year, 2 months ago

Don Shearman 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Transpose formula with square root

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 1 year, 2 months ago

Merryn Horrocks 1 year, 2 months ago

Don Shearman 3 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`