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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is the value of this equation when y=-2, r=2, n=4, z=-4

4y24r24n24z2\frac{{-4y^2}}{{4r^2}} - \frac{{4n^2}}{{4z^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 2)'. 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=-5, p=5, x=3, y=-3
A LaTex expression showing \frac{{6b to the power of 2 }}{{2p to the power of 2 }} + \frac{{4x to the power of 2 }}{{4y to the power of 2 }}
a A LaTex expression showing 4
b A LaTex expression showing -200
c A LaTex expression showing 160
d A LaTex expression showing 200
e A LaTex expression showing -4
f A LaTex expression showing -4
2
What is the value of this equation when b=-5, p=5, n=4, x=2
A LaTex expression showing \frac{{5b to the power of 2 }}{{5p to the power of 2 }} + \frac{{2n to the power of 2 }}{{4x to the power of 2 }}
a A LaTex expression showing 3
b A LaTex expression showing -3
c A LaTex expression showing 4
d A LaTex expression showing 150
e A LaTex expression showing 250
f A LaTex expression showing -250
3
What is the value of this equation when b=4, m=-4, x=-5, z=5
A LaTex expression showing \frac{{2b to the power of 2 }}{{2m to the power of 2 }} + \frac{{6x to the power of 2 }}{{3z to the power of 2 }}
a A LaTex expression showing 1
b A LaTex expression showing 24
c A LaTex expression showing 64
d A LaTex expression showing -3
e A LaTex expression showing 3
f A LaTex expression showing -64
4
What is the value of this equation when b=5, x=2, p=3, m=-3
A LaTex expression showing \frac{{4b to the power of 2 }}{{5x to the power of 2 }} + \frac{{6p to the power of 2 }}{{2m to the power of 2 }}
a A LaTex expression showing 8
b A LaTex expression showing 3
c A LaTex expression showing 4
d A LaTex expression showing 120
e A LaTex expression showing -120
f A LaTex expression showing 110
5
What is the value of this equation when z=-4, b=2, n=-5, p=5
A LaTex expression showing \frac{{-6z to the power of 2 }}{{3b to the power of 2 }} - \frac{{3n to the power of 2 }}{{3p to the power of 2 }}
a A LaTex expression showing 3
b A LaTex expression showing 102
c A LaTex expression showing -9
d A LaTex expression showing 108
e A LaTex expression showing -108
f A LaTex expression showing 1
6
What is the value of this equation when c=5, d=-5, b=2, r=-2
A LaTex expression showing \frac{{-4c to the power of 2 }}{{4d to the power of 2 }} - \frac{{6b to the power of 2 }}{{3r to the power of 2 }}
a A LaTex expression showing -200
b A LaTex expression showing -2
c A LaTex expression showing -3
d A LaTex expression showing 200
e A LaTex expression showing 4
f A LaTex expression showing 80
7
What is the value of this equation when m=5, c=-5, z=2, p=-2
A LaTex expression showing \frac{{2m to the power of 2 }}{{2c to the power of 2 }} + \frac{{6z to the power of 2 }}{{3p to the power of 2 }}
a A LaTex expression showing 1
b A LaTex expression showing 100
c A LaTex expression showing -5m
d A LaTex expression showing 40
e A LaTex expression showing 3
f A LaTex expression showing -100