Algebraic Function Variable Substitution - 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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Multiple Fractional Squared Terms (Negatives)

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What is the value of this equation when n=-5, z=5, r=3

4n22z26r2\frac{{4n^2}}{{2z^2 - 6r^2}}

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 d=-5, z=3, m=4
A LaTex expression showing \frac{{6d to the power of 2 }}{{3z to the power of 2 - 2m to the power of 2 }}
a A LaTex expression showing 177
b A LaTex expression showing 159
c A LaTex expression showing 3
d A LaTex expression showing -30
e A LaTex expression showing 4
f A LaTex expression showing -177
2
What is the value of this equation when x=5, m=4, n=-5
A LaTex expression showing \frac{{2x to the power of 2 }}{{3m to the power of 2 - 2n to the power of 2 }}
a A LaTex expression showing -5
b A LaTex expression showing 3
c A LaTex expression showing -98
d A LaTex expression showing -25
e A LaTex expression showing 98
f A LaTex expression showing 62
3
What is the value of this equation when y=5, x=-3, p=-2
A LaTex expression showing \frac{{6y to the power of 2 }}{{5x to the power of 2 - 5p to the power of 2 }}
a A LaTex expression showing 135
b A LaTex expression showing 195
c A LaTex expression showing 4
d A LaTex expression showing -4
e A LaTex expression showing 6
f A LaTex expression showing -195
4
What is the value of this equation when y=3, c=4, b=-3
A LaTex expression showing \frac{{4y to the power of 2 }}{{3c to the power of 2 - 4b to the power of 2 }}
a A LaTex expression showing 84
b A LaTex expression showing 3
c A LaTex expression showing 2
d A LaTex expression showing -84
e A LaTex expression showing 48
f A LaTex expression showing 4
5
What is the value of this equation when x=-2, m=3, c=2
A LaTex expression showing \frac{{3x to the power of 2 }}{{2m to the power of 2 - 4c to the power of 2 }}
a A LaTex expression showing 6
b A LaTex expression showing 2
c A LaTex expression showing -30
d A LaTex expression showing 18
e A LaTex expression showing 30
f A LaTex expression showing 4
6
What is the value of this equation when n=-5, z=5, r=3
A LaTex expression showing \frac{{4n to the power of 2 }}{{2z to the power of 2 - 6r to the power of 2 }}
a A LaTex expression showing 3
b A LaTex expression showing 150
c A LaTex expression showing -25
d A LaTex expression showing -150
e A LaTex expression showing 110
f A LaTex expression showing 4
7
What is the value of this equation when r=-4, y=-3, m=5
A LaTex expression showing \frac{{6r to the power of 2 }}{{6y to the power of 2 - 6m to the power of 2 }}
a A LaTex expression showing -1
b A LaTex expression showing 4
c A LaTex expression showing 150
d A LaTex expression showing 78
e A LaTex expression showing -4
f A LaTex expression showing -150