Multiple Fractional Squared Terms (Level 2)

This math topic focuses on the skill of substituting numerical values into algebraic functions that involve multiple fractional squared terms. It helps in understanding and practicing the application of basic algebra concepts in more advanced contexts. The problems entail calculating the value of algebraic expressions given specific values for the variables involved, each expression comprising a combination of squared numerators and denominators organized into fractions. The learners are given multiple-choice answers to select from, which tests their ability to accurately compute and simplify expressions.

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

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Algebraic Function Variable Substitution - Multiple Fractional Squared Terms Worksheet

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Algebraic Function Variable Substitution - Multiple Fractional Squared Terms
1
What is the value of this equation when x=7, y=2, p=8, r=4
A LaTex expression showing \frac{{4x to the power of 2 }}{{7y to the power of 2 }} + \frac{{6p to the power of 2 }}{{4r to the power of 2 }}
a A LaTex expression showing 1
b A LaTex expression showing 224
c A LaTex expression showing 13
d A LaTex expression showing 1
e A LaTex expression showing 210
f A LaTex expression showing -224
2
What is the value of this equation when y=8, x=4, p=6, m=2
A LaTex expression showing \frac{{3y to the power of 2 }}{{6x to the power of 2 }} + \frac{{6p to the power of 2 }}{{6m to the power of 2 }}
a A LaTex expression showing 288
b A LaTex expression showing 216
c A LaTex expression showing 3
d A LaTex expression showing 1
e A LaTex expression showing -288
f A LaTex expression showing 11
3
What is the value of this equation when d=8, n=2, r=6, x=3
A LaTex expression showing \frac{{4d to the power of 2 }}{{2n to the power of 2 }} + \frac{{3r to the power of 2 }}{{6x to the power of 2 }}
a A LaTex expression showing 34
b A LaTex expression showing -264
c A LaTex expression showing 1
d A LaTex expression showing 264
e A LaTex expression showing -5
f A LaTex expression showing 260
4
What is the value of this equation when y=8, n=4, c=6, p=3
A LaTex expression showing \frac{{3y to the power of 2 }}{{3n to the power of 2 }} + \frac{{6c to the power of 2 }}{{6p to the power of 2 }}
a A LaTex expression showing 204
b A LaTex expression showing 3
c A LaTex expression showing -240
d A LaTex expression showing 4
e A LaTex expression showing 8
f A LaTex expression showing 240
5
What is the value of this equation when d=6, c=3, z=4, r=2
A LaTex expression showing \frac{{3d to the power of 2 }}{{4c to the power of 2 }} + \frac{{4z to the power of 2 }}{{2r to the power of 2 }}
a A LaTex expression showing 11
b A LaTex expression showing 4
c A LaTex expression showing 1
d A LaTex expression showing 144
e A LaTex expression showing -144
f A LaTex expression showing 120