Multiple Fractional Squared Terms (Level 3)

This math topic revolves around the application of algebraic functions with variable substitution, specifically focusing on equations with multiple fractional squared terms. Students are tested on their ability to substitute given values for variables in complex algebraic expressions and simplify the equations to find the correct answers. This involves operations with fractions, squaring variables, and basic algebraic manipulation, as part of more advanced algebra concepts. Each problem presents a different equation with distinct variables and values to be substituted, followed by multiple-choice answers for students to select from.

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 r=5, p=2, b=6
A LaTex expression showing \frac{{4r to the power of 2 }}{{7p to the power of 2 + 2b to the power of 2 }}
a A LaTex expression showing 128
b A LaTex expression showing -4
c A LaTex expression showing 114
d A LaTex expression showing 1
e A LaTex expression showing -128
f A LaTex expression showing 3
2
What is the value of this equation when z=8, c=7, y=5
A LaTex expression showing \frac{{5z to the power of 2 }}{{5c to the power of 2 + 3y to the power of 2 }}
a A LaTex expression showing 565
b A LaTex expression showing -565
c A LaTex expression showing 3
d A LaTex expression showing 355
e A LaTex expression showing 1
f A LaTex expression showing -4
3
What is the value of this equation when d=8, n=2, r=3
A LaTex expression showing \frac{{6d to the power of 2 }}{{7n to the power of 2 + 4r to the power of 2 }}
a A LaTex expression showing 398
b A LaTex expression showing 6
c A LaTex expression showing 412
d A LaTex expression showing -3
e A LaTex expression showing -412
f A LaTex expression showing -2
4
What is the value of this equation when p=6, r=3, x=4
A LaTex expression showing \frac{{7p to the power of 2 }}{{4r to the power of 2 + 3x to the power of 2 }}
a A LaTex expression showing -288
b A LaTex expression showing 288
c A LaTex expression showing 4
d A LaTex expression showing -4
e A LaTex expression showing 3
f A LaTex expression showing 264
5
What is the value of this equation when r=8, b=2, n=6
A LaTex expression showing \frac{{2r to the power of 2 }}{{5b to the power of 2 + 3n to the power of 2 }}
a A LaTex expression showing -148
b A LaTex expression showing 138
c A LaTex expression showing 4r
d A LaTex expression showing -5
e A LaTex expression showing 148
f A LaTex expression showing 1
6
What is the value of this equation when d=8, m=7, z=5
A LaTex expression showing \frac{{5d to the power of 2 }}{{5m to the power of 2 + 3z to the power of 2 }}
a A LaTex expression showing -565
b A LaTex expression showing -2
c A LaTex expression showing 4
d A LaTex expression showing 565
e A LaTex expression showing 355
f A LaTex expression showing 1
7
What is the value of this equation when z=5, x=3, p=2
A LaTex expression showing \frac{{3z to the power of 2 }}{{7x to the power of 2 + 3p to the power of 2 }}
a A LaTex expression showing 1
b A LaTex expression showing -2z
c A LaTex expression showing -2
d A LaTex expression showing -138
e A LaTex expression showing 96
f A LaTex expression showing 138
8
What is the value of this equation when c=8, m=2, x=5
A LaTex expression showing \frac{{2c to the power of 2 }}{{7m to the power of 2 + 4x to the power of 2 }}
a A LaTex expression showing -3
b A LaTex expression showing 1
c A LaTex expression showing 156
d A LaTex expression showing 142
e A LaTex expression showing -156
f A LaTex expression showing -2