Lois's copy of Test1: Combining algebraic fractions

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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 Test1: Combining algebraic fractions .

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Question statement

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
c	integer	6
b	integer	9
d	integer	-2
nb	string	adding
a1	integer	3
p	integer	1
a2	integer	6
s1	integer	1

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xxxxxxxxxx
 
random(2..9)

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Description

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Generated value: `integer`

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

Parts

Gap-fill
1. Gap Mathematical expression
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Gap-fill

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Write

$\simplify{{a} /((x+{p}) ({a1}x + {b})) + ({c} /( (x+{p})({a2}x + {d})))}$ as a single fraction.

Input the fraction here: Unnamed gap.

Make sure that you simplify the numerator.

Advice

A good choice for the denominator of the fraction we are looking for is $\simplify{(x+{p})({a1}x+{b})({a2}x+{d})}$ since the denominators of both original fractions contain the factor $\simplify{(x+{p})}$ .

Hence we have:

$\begin{eqnarray*} \simplify{{a} /((x+{p}) ({a1}x + {b})) + ({c} /( (x+{p})({a2}x + {d})))} &=& \simplify[std]{({a} * ({a2}*x + {d}) + {c} * ({a1}*x + {b})) / ((x+{p})({a1}*x + {b}) * ({a2}*x + {d})) }\\&=& \simplify{({a*a2 + c*a1} * x + {a * d + c * b}) / ((x+{p})({a1}*x + {b}) * ({a2}*x + {d}))}\end{eqnarray*}$

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Lois's copy of Test1: Combining algebraic fractions

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

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Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Lois's copy of Test1: Combining algebraic fractions

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`