This math topic focuses on algebraic manipulation of fractions, specifically involving variables. It is designed to enhance skills in solving equations for an unknown variable represented by '?' and requires simplifying the resultant expressions. Each problem presents an equation with fractions and multiple choice answers, requiring the identification of the correct simplified form of the variable. This practice is part of a broader unit aimed at building foundational algebra skills, suitable for learners seeking to deepen their understanding of algebraic concepts through fraction manipulation.

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Fraction Manipulation Algebra - All Worksheet

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