Solving equations with indices 3

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9 years, 6 months ago

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joshua boddy 9 years, 6 months ago

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Name	Status	Author	Last Modified
Solving equations with indices 3	Ready to use	joshua boddy	01/06/2016 09:47
Jinhua's copy of Solving equations with indices 3	Has some problems	Jinhua Mathias	28/08/2024 12:15

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Question statement

Solve each of the following equations for x

Express answers either as a positive integer or as a fraction

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	3
b1	integer	2
c1	integer	5
d1	number	9
a2	integer	3
b2	integer	2
c2	integer	5
d2	number	9
a3	integer	3
b3	integer	3
c3	integer	5
d3	number	27
e3	integer	-5
a4	integer	2
b4	integer	2
c4	integer	5
d4	number	4
e4	rational	1/10
a5	integer	3
b5	integer	5
c5	integer	2
d5	number	243
e5	integer	3
f5	number	729

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..5 except 4)

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:

"Part a)" - Minimum accepted value
"Part a)" - Maximum accepted value

Advice

The idea here is to get all powers of x on one side of the equation, and all numbers on the other. Then, raise each side of the equation to an appropriate power, so that the value of x becomes clear.

It may be useful to refamiliarise yourself with the laws of indices:

$x^a \times x^b = x^{a+b}$

$x^a \div x^b = x^{a-b}$

$x^{-a} = \frac{1}{x^a}$

$(x^a)^b = x^{ab}$

$(\frac{x}{y})^a = \frac{x^a}{y^a}$

$x^\frac{a}{b} = \sqrt[b]{x^a}$

$x^0 = 1$

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Taxonomy: mathcentre

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Taxonomy: Context

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joshua boddy 9 years, 6 months ago

joshua boddy 9 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Number entry

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Solving equations with indices 3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

joshua boddy 9 years, 6 months ago

joshua boddy 9 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`