Combining algebraic fractions 1 (Video)

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Bill Foster 55 years, 2 months ago

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Question statement

Add the following two fractions together and express as a single fraction over a common denominator.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	4
c	integer	6
b	integer	-6
d	integer	1
nb	string	adding
a1	integer	1
a2	integer	1
s1	integer	1

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Value

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Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

→ Used by:

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

Parts

Gap-fill
1. Gap Mathematical expression
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1. Step Information only

Gap-fill

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

Express

$\simplify{{a} / ({a1}x + {b}) + ({c} / ({a2}x + {d}))}$

as a single fraction.

Enter the fraction here: Unnamed gap

Input your answer in the form $\displaystyle \frac{(ax+b)}{((cx+d)(ex+f))}$ with no other brackets than those shown.

Click on Show steps if you need help. You will lose one mark if you do so.

Advice

The formula for {nb} fractions is :

$\simplify[std]{a / b + {s1} * (c / d) = (ad + {s1} * bc) / bd}$

and for this exercise we have $\simplify{b=x+{b}}$ , $\simplify{d=x+{d}}$ .
Hence we have:

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

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

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Generated value: `integer`

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Combining algebraic fractions 1 (Video)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 55 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`