Fraction Manipulation Algebra - Orientation 2 (Level 4)

This math topic focuses on advanced algebraic manipulation of fractions, specifically solving for an unknown variable ('?') within fractional algebraic expressions. Students are required to manipulate and simplify these expressions, honing skills in algebraic techniques and reducing fractions in an advanced context, part of a broader unit on Algebra Basic Concepts. Each problem presents a fraction equation involving one or more variables, with multiple choice answers provided that show various simplified forms of potential solutions to these equations.

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.

2a=2?4c2a=\frac{2?}{4c}

Fraction Manipulation Algebra - Orientation 2 Worksheet

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