Fractional Squared Terms (Level 1)

This math topic focuses on variable substitution in algebraic functions involving fractional squared terms. It targets students at a basic level of algebra. Specifically, students are asked to substitute given values into equations featuring square terms in fractional formats and solve for the result. Each problem offers multiple-choice answers, reinforcing the students' understanding and application of algebraic principles, particularly fractional exponents in equations. The exercises are part of a broader unit on algebra basics, aimed at developing foundational skills in algebraic manipulations and problem-solving.

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

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Algebraic Function Variable Substitution - Fractional Squared Terms Worksheet

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Algebraic Function Variable Substitution - Fractional Squared Terms
1
What is the value of this equation when d=4, m=3
A LaTex expression showing \frac{{6d to the power of 2 }}{{4m}}
a A LaTex expression showing -3
b A LaTex expression showing 108
c A LaTex expression showing 8
d A LaTex expression showing -2
e A LaTex expression showing 132
f A LaTex expression showing -132
2
What is the value of this equation when r=4, d=2
A LaTex expression showing \frac{{6r to the power of 2 }}{{4d}}
a A LaTex expression showing 12
b A LaTex expression showing 112
c A LaTex expression showing -112
d A LaTex expression showing 104
e A LaTex expression showing -2
f A LaTex expression showing 3
3
What is the value of this equation when x=4, m=2
A LaTex expression showing \frac{{3x to the power of 2 }}{{6m}}
a A LaTex expression showing 4
b A LaTex expression showing -4
c A LaTex expression showing 72
d A LaTex expression showing -72
e A LaTex expression showing 3
f A LaTex expression showing 60
4
What is the value of this equation when n=4, x=2
A LaTex expression showing \frac{{6n to the power of 2 }}{{2x}}
a A LaTex expression showing 3
b A LaTex expression showing -3
c A LaTex expression showing 100
d A LaTex expression showing 104
e A LaTex expression showing 24
f A LaTex expression showing -104
5
What is the value of this equation when y=4, x=2
A LaTex expression showing \frac{{3y to the power of 2 }}{{6x}}
a A LaTex expression showing 60
b A LaTex expression showing 72
c A LaTex expression showing -72
d A LaTex expression showing 1
e A LaTex expression showing 4
f A LaTex expression showing 3
6
What is the value of this equation when z=5, n=3
A LaTex expression showing \frac{{6z to the power of 2 }}{{5n}}
a A LaTex expression showing -2
b A LaTex expression showing 10
c A LaTex expression showing 195
d A LaTex expression showing 1
e A LaTex expression showing -195
f A LaTex expression showing 165
7
What is the value of this equation when z=2, x=3
A LaTex expression showing \frac{{6z to the power of 2 }}{{4x}}
a A LaTex expression showing 60
b A LaTex expression showing 2
c A LaTex expression showing -4
d A LaTex expression showing -60
e A LaTex expression showing 3
f A LaTex expression showing 36
8
What is the value of this equation when c=5, r=3
A LaTex expression showing \frac{{6c to the power of 2 }}{{5r}}
a A LaTex expression showing 4
b A LaTex expression showing 165
c A LaTex expression showing 10
d A LaTex expression showing -195
e A LaTex expression showing 2
f A LaTex expression showing 195