This math topic focuses on practicing fraction manipulation within algebraic expressions, specifically related to solving for an unknown represented by the “?” in various fraction equations including variables. It involves reducing fractions and figuring out relations between given variables under different algebraic scenarios. The problems also incorporate units on speed, distance, and time, indicating applications of these algebraic manipulations in practical contexts like motion. Each question presents multiple-choice answers, urging students to select the correct algebraic representation of the solved expression.

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Fraction Manipulation Algebra - All Worksheet

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Fraction Manipulation Algebra - All
1
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a = 3b over x
a A LaTex expression showing x=b over 3a
b A LaTex expression showing x=3a times b
c A LaTex expression showing x=3b over a
d A LaTex expression showing x=b over a
2
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a = b over 2x
a A LaTex expression showing x=b over 2a
b A LaTex expression showing x=a over 2b
c A LaTex expression showing x=a times b over 2
d A LaTex expression showing x=b over a
3
A LaTex expression showing a = d over 4x
Solve the fraction for 'x' in terms of the variables and reduce.
a A LaTex expression showing x=d over 4a
b A LaTex expression showing x=a over 4d
4
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = c over x
a A LaTex expression showing x=a over 2c
b A LaTex expression showing x=2a times c
c A LaTex expression showing x=c over 2a
d A LaTex expression showing x=c over a
5
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a = 4f over x
a A LaTex expression showing x=a over 4f
b A LaTex expression showing x=a times f over 4
c A LaTex expression showing x=f over 4a
d A LaTex expression showing x=f over a
e A LaTex expression showing x=4f over a
6
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a = b over 4x
a A LaTex expression showing x=b over 4a
b A LaTex expression showing x=a over 4b
c A LaTex expression showing x=a times b over 4
7
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing 2a = b over x
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
8
Solve the fraction for 'x' in terms of the variables and reduce.
A LaTex expression showing a = e over 3x
a A LaTex expression showing x=e over 3a
b A LaTex expression showing x=a times e over 3
c A LaTex expression showing x=e over a
d A LaTex expression showing x=a over 3e