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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Math worksheet on 'Algebraic Function Variable Substitution - Multiple Fractional Squared Terms (Negatives) (Level 3)'. Part of a broader unit on 'Algebra Basic Concepts - Advanced' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_advanced/
1
What is the value of this equation when b=-8, y=2, d=4
A LaTex expression showing \frac{{4b to the power of 2 }}{{7y to the power of 2 - 2d to the power of 2 }}
a A LaTex expression showing -64
b A LaTex expression showing -3
c A LaTex expression showing 2
d A LaTex expression showing -284
e A LaTex expression showing 270
f A LaTex expression showing 284
2
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 4
b A LaTex expression showing 132
c A LaTex expression showing -132
d A LaTex expression showing 2z
e A LaTex expression showing 84
f A LaTex expression showing 2
3
What is the value of this equation when y=7, n=3, x=-2
A LaTex expression showing \frac{{6y to the power of 2 }}{{3n to the power of 2 - 6x to the power of 2 }}
a A LaTex expression showing 98
b A LaTex expression showing 303
c A LaTex expression showing 321
d A LaTex expression showing -321
e A LaTex expression showing 1
f A LaTex expression showing -4
4
What is the value of this equation when c=7, p=-3, z=2
A LaTex expression showing \frac{{6c to the power of 2 }}{{3p to the power of 2 - 6z to the power of 2 }}
a A LaTex expression showing 285
b A LaTex expression showing -321
c A LaTex expression showing 2
d A LaTex expression showing -3
e A LaTex expression showing 98
f A LaTex expression showing 321
5
What is the value of this equation when b=-7, m=5, p=4
A LaTex expression showing \frac{{6b to the power of 2 }}{{2m to the power of 2 + 3p to the power of 2 }}
a A LaTex expression showing -3
b A LaTex expression showing 304
c A LaTex expression showing 1
d A LaTex expression showing 3
e A LaTex expression showing -344
f A LaTex expression showing 344
6
What is the value of this equation when z=7, b=3, d=-4
A LaTex expression showing \frac{{2z to the power of 2 }}{{2b to the power of 2 + 5d to the power of 2 }}
a A LaTex expression showing 104
b A LaTex expression showing 4z
c A LaTex expression showing 116
d A LaTex expression showing -116
e A LaTex expression showing 1
f A LaTex expression showing 3
7
What is the value of this equation when z=-8, d=2, c=-4
A LaTex expression showing \frac{{6z to the power of 2 }}{{4d to the power of 2 + 3c to the power of 2 }}
a A LaTex expression showing 400
b A LaTex expression showing -400
c A LaTex expression showing 392
d A LaTex expression showing 1
e A LaTex expression showing 6
f A LaTex expression showing -3