Fraction Manipulation Algebra - Orientation 2

Level 3

This math topic focuses on solving equations involving fractions, specifically requiring participants to express a variable term in terms of other given variables and then simplify the result. The problems involve substitutive algebra where a variable term, represented by a question mark ('?'), must be isolated and expressed as a fraction involving other algebraic terms. Students are tasked with manipulating and simplifying algebraic fractions to the correct form among multiple choices, honing their skills in fraction manipulation and algebraic simplification within the context of basic algebraic concepts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Fraction Manipulation Algebra - Orientation 2

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Solve the fraction for the '?' in terms of the variables and reduce.

a=2?4ba=\frac{2?}{4b}

?

Fraction Manipulation Algebra - Orientation 2 Worksheet

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Math worksheet on 'Fraction Manipulation Algebra - Orientation 2 (Level 3)'. Part of a broader unit on 'Algebra Basic Concepts - Practice' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_practice/
1
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing a=3? over 3b
a A LaTex expression showing b over 9a
b A LaTex expression showing a times b
c A LaTex expression showing b over a
d A LaTex expression showing 3a over 3b
2
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing a=2? over 2c
a A LaTex expression showing c over 4a
b A LaTex expression showing 2c over 2a
c A LaTex expression showing a times c over 4
d A LaTex expression showing a times c
3
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing a=2? over 4c
a A LaTex expression showing c over a
b A LaTex expression showing a over 8c
c A LaTex expression showing a times c over 8
d A LaTex expression showing 2a times c
4
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 4a=? over 3c
a A LaTex expression showing 4a over 3c
b A LaTex expression showing 12a times c
c A LaTex expression showing c over a
d A LaTex expression showing 3c over 4a
5
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing a=3? over 4b
a A LaTex expression showing 4a times b over 3
b A LaTex expression showing a over 12b
c A LaTex expression showing b over 12a
d A LaTex expression showing 4b over 3a
6
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 4a=4? over b
a A LaTex expression showing b over 16a
b A LaTex expression showing a times b
c A LaTex expression showing a over 16b
d A LaTex expression showing b over a
7
Solve the fraction for the '?' in terms of the variables and reduce.
A LaTex expression showing 4a=? over 2b
a A LaTex expression showing 2b over 4a
b A LaTex expression showing b over a
c A LaTex expression showing 8a times b
d A LaTex expression showing 2a over 4b