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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Math worksheet on 'Fraction Manipulation Algebra - Orientation 2 (Level 3)'. Part of a broader unit on 'Algebra Basic Concepts - Advanced' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_advanced/
1
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=3x over 4b
a A LaTex expression showing x=4a times b over 3
b A LaTex expression showing x=4b over 3a
c A LaTex expression showing x=a over 12b
d A LaTex expression showing x=4a over 3b
2
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a=x over 3c
a A LaTex expression showing x=3a times c over 3
b A LaTex expression showing x=9a times c
c A LaTex expression showing x=3a over 3c
d A LaTex expression showing x=3c over 3a
3
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a=2x over 3b
a A LaTex expression showing x=a over 6b
b A LaTex expression showing x=3a over 2b
c A LaTex expression showing x=3a times b over 2
d A LaTex expression showing x=a times b over 6
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=x over 4c
a A LaTex expression showing x=2a times c over 4
b A LaTex expression showing x=2c over 4a
c A LaTex expression showing x=8a times c
d A LaTex expression showing x=4c over 2a
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a=2x over b
a A LaTex expression showing x=3b over 2a
b A LaTex expression showing x=3a over 2b
c A LaTex expression showing x=3a times b over 2
d A LaTex expression showing x=a over 6b
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=2x over c
a A LaTex expression showing x=2a over 2c
b A LaTex expression showing x=c over 4a
c A LaTex expression showing x=2a times c over 2
d A LaTex expression showing x=a times c
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=4x over b
a A LaTex expression showing x=2a over 4b
b A LaTex expression showing x=a times b over 2
c A LaTex expression showing x=2a times b over 4
d A LaTex expression showing x=b over 8a