This math topic focuses on advanced algebraic manipulation of fractions, specifically solving for an unknown variable ('?') within fractional algebraic expressions. Students are required to manipulate and simplify these expressions, honing skills in algebraic techniques and reducing fractions in an advanced context, part of a broader unit on Algebra Basic Concepts. Each problem presents a fraction equation involving one or more variables, with multiple choice answers provided that show various simplified forms of potential solutions to these equations.

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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 4a=2x over 3c
a A LaTex expression showing x=6a times c
b A LaTex expression showing x=4a over 6c
c A LaTex expression showing x=4c over 6a
d A LaTex expression showing x=12a times c over 2
e A LaTex expression showing x=c over a
2
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=3x over 4c
a A LaTex expression showing x=4c over 6a
b A LaTex expression showing x=8a times c over 3
c A LaTex expression showing x=c over 24a
3
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a=3x over 2b
a A LaTex expression showing x=2b over 9a
b A LaTex expression showing x=3a over 6b
c A LaTex expression showing x=3a times b over 6
d A LaTex expression showing x=2a times b
e A LaTex expression showing x=3b over 6a
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a=2x over 4c
a A LaTex expression showing x=8a times c
b A LaTex expression showing x=c over a
c A LaTex expression showing x=4a times c over 8
d A LaTex expression showing x=4a over 8c
e A LaTex expression showing x=4c over 8a
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=2x over 4b
a A LaTex expression showing x=b over a
b A LaTex expression showing x=2b over 8a
c A LaTex expression showing x=4a over 4b
d A LaTex expression showing x=4a times b
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=2x over 3b
a A LaTex expression showing x=2b over 6a
b A LaTex expression showing x=3a times b
c A LaTex expression showing x=b over 12a
d A LaTex expression showing x=3b over 4a
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a=3x over 2c
a A LaTex expression showing x=2c over 6a
b A LaTex expression showing x=c over a
c A LaTex expression showing x=2a over 6c
d A LaTex expression showing x=4a times c over 3
8
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a=2x over 2b
a A LaTex expression showing x=4b over 4a
b A LaTex expression showing x=4a times b
c A LaTex expression showing x=b over a
d A LaTex expression showing x=2a over 8b