Multiple Fractional Squared Terms (Negatives) (Level 3)

This math topic involves high-level algebra concepts. It focuses on variable substitution within algebraic functions. More specifically, students are working with multiple fractional squared terms, which can include negative numbers. They substitute given values into complex equations and solve them to find the potential outcomes. Such equations include variables being squared in both the numerator and denominator of fractions, requiring students to tackle more advanced algebraic techniques. It is an integral part of mastering advanced algebra concepts.

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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 r=-8, z=5, m=4
A LaTex expression showing \frac{{3r to the power of 2 }}{{4z to the power of 2 - 7m to the power of 2 }}
a A LaTex expression showing -16
b A LaTex expression showing -2
c A LaTex expression showing 2
d A LaTex expression showing 212
e A LaTex expression showing -292
f A LaTex expression showing 292
2
What is the value of this equation when x=-6, n=2, y=5
A LaTex expression showing \frac{{7x to the power of 2 }}{{6n to the power of 2 - 6y to the power of 2 }}
a A LaTex expression showing -3
b A LaTex expression showing -276
c A LaTex expression showing 264
d A LaTex expression showing -2
e A LaTex expression showing 276
f A LaTex expression showing 4
3
What is the value of this equation when b=-6, r=-2, c=-4
A LaTex expression showing \frac{{5b to the power of 2 }}{{7r to the power of 2 - 3c to the power of 2 }}
a A LaTex expression showing 208
b A LaTex expression showing 166
c A LaTex expression showing -4b
d A LaTex expression showing -9
e A LaTex expression showing -2
f A LaTex expression showing -208
4
What is the value of this equation when m=8, b=-2, d=4
A LaTex expression showing \frac{{7m to the power of 2 }}{{4b to the power of 2 - 5d to the power of 2 }}
a A LaTex expression showing 464
b A LaTex expression showing 4
c A LaTex expression showing -7
d A LaTex expression showing 440
e A LaTex expression showing -464
f A LaTex expression showing -3
5
What is the value of this equation when d=-3, y=3, p=2
A LaTex expression showing \frac{{3d to the power of 2 }}{{3y to the power of 2 - 7p to the power of 2 }}
a A LaTex expression showing 54
b A LaTex expression showing 36
c A LaTex expression showing -27
d A LaTex expression showing -2
e A LaTex expression showing -3
f A LaTex expression showing -54
6
What is the value of this equation when m=-5, b=3, x=-2
A LaTex expression showing \frac{{6m to the power of 2 }}{{2b to the power of 2 - 3x to the power of 2 }}
a A LaTex expression showing -2
b A LaTex expression showing 25
c A LaTex expression showing 168
d A LaTex expression showing -168
e A LaTex expression showing -3
f A LaTex expression showing 156
7
What is the value of this equation when z=-4, x=-3, b=2
A LaTex expression showing \frac{{6z to the power of 2 }}{{4x to the power of 2 - 3b to the power of 2 }}
a A LaTex expression showing 2z
b A LaTex expression showing 2
c A LaTex expression showing -132
d A LaTex expression showing 132
e A LaTex expression showing 84
f A LaTex expression showing 4
8
What is the value of this equation when y=5, r=2, p=-6
A LaTex expression showing \frac{{4y to the power of 2 }}{{7r to the power of 2 + 2p to the power of 2 }}
a A LaTex expression showing 128
b A LaTex expression showing 114
c A LaTex expression showing 4
d A LaTex expression showing 1
e A LaTex expression showing -4
f A LaTex expression showing -128