These problems are centered around manipulating algebraic fractions within the context of solving for an unknown variable. Each question requires solving a fraction equation and choosing the correct simplified expression from multiple options. The main skills practiced include simplifying algebraic fractions, isolating variables, and understanding proportional relationships between variables in fraction form. The topic builds foundational algebra skills relevant to speed, distance, and time calculations.

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Fraction Manipulation Algebra - Orientation 2 Worksheet

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