Q3 Indices; Solve for x

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

Published this.

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TEAME CIT 9 years, 1 month ago

Created this.

Name	Status	Author	Last Modified
Q3 Indices; Solve for x	draft	TEAME CIT	08/10/2016 22:21
Julie's copy of Q3 Indices; Solve for x	draft	Julie Crowley	15/11/2016 15:41
Katherine's copy of Q3 Indices; Solve for x	draft	Katherine Tomlinson	01/08/2017 12:16
Simon's copy of Q3 Indices; Solve for x	draft	Simon Thomas	06/03/2019 11:13
Blathnaid's copy of Simon's copy of Q3 Indices; Solve for x	draft	Blathnaid Sheridan	11/03/2019 09:16

There are 2 other versions that do you not have access to.

Question statement

Solve for x in each of the following:

Enter answer as whole number or fraction

Give any introductory information the student needs.

			Name	Type	Generated Value

num11	integer	5
num12	integer	3
num13	integer	1
nn1	number	4
p1	integer	2
ans1	rational	5/3
num21	integer	3
num22	integer	2
p21	integer	1
p22	integer	3
nn21	number	3
nn22	number	27
ans2	rational	9/4
p31	integer	2
p32	integer	1
num31	integer	6
num32	integer	5
ans3	rational	-11/12
p41	integer	3
p42	integer	1
num41	integer	6
num42	integer	5
num43	integer	3
ans4	rational	18/19
nn31	number	4
nn32	number	2
nn41	number	125
nn42	number	5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..6)

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:

ans1
num12

"Part a)" - prompt

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add
Part d) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

$2^{\var{num11}x-\var{num12}} = \var{nn1}^{x+\var{num13}}$

x = Unnamed gap

Advice

i) $2^{4x-3} = 4^{x+1}$

$2^{4x-3} = 2^{2x+2}$

$4x-3 = 2x+2$

$4x-2x = 3+2$

$x = \frac{5}{2}$

ii) $9^{x-4} = 27^{2-x}$

$3^{2x-8} = 3^{6-3x}$

$2x-8 = 6-3x$

$2x+3x = 6+8$

$x = \frac{14}{5}$

iii) $2^{2x+3} = \frac{1}{4}$

$2^{2x+3} = 2^{-2}$

$2x+3 = -2$

$2x = -2-3$

$x = \frac{-5}{2}$

iv) $25^{2x-3} = 5^{4-x}$

$5^{4x-6} = 5^{4-x}$

$4x-6 = 4-x$

$4x+x = 4+6$

$x = 2$

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
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Indices by Deirdre Casey in Deirdre's workspace.
Practice for test 2 by Deirdre Casey in IFY DIFC.
Apprentices Year 1 Quiz 3 by Aoife O'Brien in Aoife's Exams.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Q3 Indices; Solve for x

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`