This math topic focuses on advanced algebraic concepts involving fraction manipulation. It includes exercises that require solving equations with unknown variables in fraction form and simplifying the expressions. The problems are designed to test and enhance understanding of fraction operations, variable isolation, and expression reduction. Each question presents a fraction equation involving variables and asks to solve for a specific variable, offering multiple-choice answers to assess comprehension and proficiency in algebraic manipulation and simplification.

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Fraction Manipulation Algebra - Orientation 3 Worksheet

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Math worksheet on 'Fraction Manipulation Algebra - Orientation 3 (Level 4)'. 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 2a = 3c over 3x
a A LaTex expression showing x=3c over 6a
b A LaTex expression showing x=c over a
c A LaTex expression showing x=3a over 6c
d A LaTex expression showing x=c over 2a
e A LaTex expression showing x=2c over 9a
2
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a = 3b over 3x
a A LaTex expression showing x=b over 27a
b A LaTex expression showing x=3a times b over 9
c A LaTex expression showing x=b over a
d A LaTex expression showing x=b over 3a
e A LaTex expression showing x=3b over 9a
3
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a = 4b over 3x
a A LaTex expression showing x=4a times b over 12
b A LaTex expression showing x=b over 48a
c A LaTex expression showing x=16a times b over 3
d A LaTex expression showing x=b over 3a
e A LaTex expression showing x=4b over 12a
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 4a = 4b over 2x
a A LaTex expression showing x=b over 2a
b A LaTex expression showing x=4b over 8a
c A LaTex expression showing x=16a times b over 2
d A LaTex expression showing x=4a over 8b
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a = 2c over 3x
a A LaTex expression showing x=3c over 6a
b A LaTex expression showing x=c over 18a
c A LaTex expression showing x=2c over 9a
d A LaTex expression showing x=c over a
e A LaTex expression showing x=2a over 9c
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 3a = 4c over 2x
a A LaTex expression showing x=3a times c over 8
b A LaTex expression showing x=2c over 3a
c A LaTex expression showing x=4c over 6a
d A LaTex expression showing x=c over a
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = 2c over 3x
a A LaTex expression showing x=2c over 6a
b A LaTex expression showing x=c over a
c A LaTex expression showing x=4a times c over 3
d A LaTex expression showing x=2a over 6c
e A LaTex expression showing x=c over 3a