This math topic deals with advanced algebraic concepts related to fraction manipulation. It involves solving equations where variables are part of fractions and requires actions such as reducing the fractions to their simplest form. Each question presents an algebraic fraction equation and provides multiple-choice answers, challenging the student to find and simplify the correct representation of the variables in fractional form. The problems are set in increasing complexity, encouraging mastery of manipulating algebraic expressions involving fractions. This topic is part of a broader unit on advanced basic algebra concepts.

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Fraction Manipulation Algebra - All Worksheet

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Fraction Manipulation Algebra - All
1
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = 2c over 2x
a A LaTex expression showing x=2a times c over 4
b A LaTex expression showing x=2a over 4c
c A LaTex expression showing x=c over 2a
d 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 = 2b over 2x
a A LaTex expression showing x=4a times b over 2
b A LaTex expression showing x=2b over 4a
c A LaTex expression showing x=b over 2a
d A LaTex expression showing x=2a over 4b
3
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a = 3b over 2x
a A LaTex expression showing x=3a over 6b
b A LaTex expression showing x=9a times b over 2
c A LaTex expression showing x=b over 2a
d A LaTex expression showing x=b over a
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = 2b over 4x
a A LaTex expression showing x=b over a
b A LaTex expression showing x=2b over 8a
c A LaTex expression showing x=b over 16a
d A LaTex expression showing x=b over 4a
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a = 2b over 4x
a A LaTex expression showing x=b over 8a
b A LaTex expression showing x=2a over 16b
c A LaTex expression showing x=4a over 8b
d A LaTex expression showing x=8a times b over 4
e A LaTex expression showing x=4b over 8a
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a = 4b over 4x
a A LaTex expression showing x=12a times b over 4
b A LaTex expression showing x=4b over 12a
c A LaTex expression showing x=b over 3a
d A LaTex expression showing x=b over 48a
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a = 3b over 2x
a A LaTex expression showing x=b over a
b A LaTex expression showing x=4a over 6b
c A LaTex expression showing x=3b over 8a
d A LaTex expression showing x=3a over 8b
8
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = 4b over 2x
a A LaTex expression showing x=b over 16a
b A LaTex expression showing x=4b over 4a
c A LaTex expression showing x=b over a