Multiple Fractional Squared Terms (Negatives) (Level 2)

This math topic is about algebraic function variable substitution with a focus on multiple fractional squared terms including negatives. It is part of advanced basic algebra concepts. The students practice solving equations where the values of variables are given. These equations contain multiple fractional terms, squared terms, and negative numbers. The students substitute given values into the equations and solve for the resulting value. Each equation is presented with multiple possible answers. There are seven practice problems in total.

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 (Negatives) Worksheet

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Algebraic Function Variable Substitution - Multiple Fractional Squared Terms (Negatives)
1
What is the value of this equation when c=-4, p=4, x=2, n=-2
A LaTex expression showing \frac{{3c to the power of 2 }}{{3p to the power of 2 }} + \frac{{5x to the power of 2 }}{{5n to the power of 2 }}
a A LaTex expression showing 60
b A LaTex expression showing -2
c A LaTex expression showing 96
d A LaTex expression showing 2
e A LaTex expression showing -96
f A LaTex expression showing -5
2
What is the value of this equation when p=-8, d=-4, c=-5, y=5
A LaTex expression showing \frac{{-3p to the power of 2 }}{{6d to the power of 2 }} - \frac{{5c to the power of 2 }}{{5y to the power of 2 }}
a A LaTex expression showing 168
b A LaTex expression showing -4
c A LaTex expression showing -3
d A LaTex expression showing -288
e A LaTex expression showing 288
f A LaTex expression showing 2
3
What is the value of this equation when m=4, p=2, y=5, r=-5
A LaTex expression showing \frac{{-6m to the power of 2 }}{{6p to the power of 2 }} - \frac{{7y to the power of 2 }}{{7r to the power of 2 }}
a A LaTex expression showing -5
b A LaTex expression showing -2
c A LaTex expression showing 108
d A LaTex expression showing -120
e A LaTex expression showing 4
f A LaTex expression showing 120
4
What is the value of this equation when r=-6, p=-3, b=8, x=2
A LaTex expression showing \frac{{-2r to the power of 2 }}{{4p to the power of 2 }} - \frac{{5b to the power of 2 }}{{4x to the power of 2 }}
a A LaTex expression showing -3
b A LaTex expression showing -108
c A LaTex expression showing -22
d A LaTex expression showing 108
e A LaTex expression showing 4
f A LaTex expression showing 60
5
What is the value of this equation when c=6, p=-3, y=8, d=-4
A LaTex expression showing \frac{{-2c to the power of 2 }}{{4p to the power of 2 }} - \frac{{3y to the power of 2 }}{{2d to the power of 2 }}
a A LaTex expression showing 60
b A LaTex expression showing 108
c A LaTex expression showing -108
d A LaTex expression showing -4
e A LaTex expression showing -8
f A LaTex expression showing 4
6
What is the value of this equation when y=-6, d=-3, x=-4, c=-2
A LaTex expression showing \frac{{-3y to the power of 2 }}{{4d to the power of 2 }} - \frac{{5x to the power of 2 }}{{5c to the power of 2 }}
a A LaTex expression showing -144
b A LaTex expression showing 144
c A LaTex expression showing -2
d A LaTex expression showing -7
e A LaTex expression showing 96
f A LaTex expression showing -5
7
What is the value of this equation when y=6, d=3, m=8, z=-2
A LaTex expression showing \frac{{-6y to the power of 2 }}{{4d to the power of 2 }} - \frac{{3m to the power of 2 }}{{3z to the power of 2 }}
a A LaTex expression showing 252
b A LaTex expression showing -252
c A LaTex expression showing 3
d A LaTex expression showing 2
e A LaTex expression showing -22
f A LaTex expression showing 228
8
What is the value of this equation when p=-4, d=2, n=6, m=-6
A LaTex expression showing \frac{{-5p to the power of 2 }}{{4d to the power of 2 }} - \frac{{4n to the power of 2 }}{{4m to the power of 2 }}
a A LaTex expression showing 88
b A LaTex expression showing 1
c A LaTex expression showing -6
d A LaTex expression showing 96
e A LaTex expression showing -96
f A LaTex expression showing 2