Simplifying Algebraic Fractions

Math

Grade 7th

CCSS.Math.Content.HSA-APR.A.1

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| By Mrbaig

Mrbaig

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Quizzes Created: 1 | Total Attempts: 638

| Attempts: 638 | Questions: 5

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1) Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question. $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»12«/mn»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«mn»3«/mn»«mi»x«/mi»«msup»«mi»y«/mi»«mn»7«/mn»«/msup»«/mrow»«/mfrac»«/math»$

The given algebraic fraction is already in its simplest form. The numerator is 4x^2 and the denominator is y^5. There are no common factors that can be simplified further. Therefore, the expression 4x^2/y^5 is already in its simplest form.

Explanation

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About This Quiz

This quiz focuses on simplifying algebraic fractions, assessing skills in manipulating expressions with variables and exponents. It encourages the application of BIDMAS\/BODMAS rules for correct bracket usage, enhancing algebraic understanding relevant for educational progress.

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2) Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question. $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»5«/mn»«msup»«mi»x«/mi»«mn»4«/mn»«/msup»«/mrow»«msup»«mi»x«/mi»«mn»7«/mn»«/msup»«/mfrac»«/math»$

The given algebraic fraction is already in its simplest form. The numerator is 5 and the denominator is x^3, which means that there are no common factors that can be canceled out. Therefore, the fraction 5/x^3 cannot be simplified any further.

Explanation

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3) Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»y«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«mrow»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»7«/mn»«mi»y«/mi»«mo»§nbsp;«/mo»«mo»+«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»$

The given algebraic fraction is already in its simplest form. It cannot be simplified further.

Explanation

The given algebraic fraction is already in its simplest form. It cannot be simplified further.

Submit

4) Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«msup»«mi»x«/mi»«mrow»«mn»2«/mn»«mo»§nbsp;«/mo»«/mrow»«/msup»«mo»-«/mo»«mo»§nbsp;«/mo»«mn»3«/mn»«mi»x«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/math»$

The given algebraic fraction is already in its simplest form. The numerator is x and the denominator is x+2, which cannot be simplified further. Therefore, the answer is x/(x+2).

Explanation

The given algebraic fraction is already in its simplest form. The numerator is x and the denominator is x+2, which cannot be simplified further. Therefore, the answer is x/(x+2).

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5) Express the given algebraic fraction in its simplest form, use the ^ symbol (normally above the number 6 on your keyboard) to answer the question, and you must ensure you use brackets correctly - think of BIDMAS. $«math xmlns=¨https://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»7«/mn»«mi»x«/mi»«mo»§nbsp;«/mo»«mo»-«/mo»«mo»§nbsp;«/mo»«mi»x«/mi»«mi»y«/mi»«/mrow»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mfrac»«/math»$

If you wrote:
7-y/x^2
this is not correct because using BIDMAS we would get a different answer.

Explanation

If you wrote:
7-y/x^2
this is not correct because using BIDMAS we would get a different answer.

Submit

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Quiz Edited by
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Oct 25, 2011

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Express the given algebraic fraction in its simplest form, use the ^...