This math topic focuses on solving equations involving fractions, specifically requiring participants to express a variable term in terms of other given variables and then simplify the result. The problems involve substitutive algebra where a variable term, represented by a question mark ('?'), must be isolated and expressed as a fraction involving other algebraic terms. Students are tasked with manipulating and simplifying algebraic fractions to the correct form among multiple choices, honing their skills in fraction manipulation and algebraic simplification within the context of basic algebraic concepts.

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Fraction Manipulation Algebra - Orientation 2 Worksheet

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Fraction Manipulation Algebra - Orientation 2
1
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=2x over 4c
a A LaTex expression showing x=c over a
b A LaTex expression showing x=2a times c
c A LaTex expression showing x=4a over 2c
d A LaTex expression showing x=4a times c over 2
e A LaTex expression showing x=c over 8a
2
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a=x over 4b
a A LaTex expression showing x=b over a
b A LaTex expression showing x=4b over 4a
c A LaTex expression showing x=4a over 4b
d A LaTex expression showing x=16a times b
3
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=2x over 4b
a A LaTex expression showing x=4a over 2b
b A LaTex expression showing x=b over 8a
c A LaTex expression showing x=a over 8b
d A LaTex expression showing x=4b over 2a
e A LaTex expression showing x=2a times b
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=3x over 3b
a A LaTex expression showing x=a times b
b A LaTex expression showing x=3b over 3a
c A LaTex expression showing x=b over a
d A LaTex expression showing x=3a times b over 3
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a=x over 3b
a A LaTex expression showing x=4a times b over 3
b A LaTex expression showing x=12a times b
c A LaTex expression showing x=b over 12a
d A LaTex expression showing x=b over a
e A LaTex expression showing x=4a over 3b
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=3x over b
a A LaTex expression showing x=2b over 3a
b A LaTex expression showing x=b over a
c A LaTex expression showing x=2a times b over 3
d A LaTex expression showing x=b over 6a
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=2x over 2b
a A LaTex expression showing x=a times b
b A LaTex expression showing x=2a over 2b
c A LaTex expression showing x=2a times b over 2
d A LaTex expression showing x=b over a
8
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=2x over 2c
a A LaTex expression showing x=a times c over 4
b A LaTex expression showing x=c over a
c A LaTex expression showing x=a times c
d A LaTex expression showing x=c over 4a