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Algebraic Function Variable Substitution - Fractional Squared Terms (Level 2)

This math topic covers the skill of substituting numerical values into algebraic functions involving fractional squared terms. It focuses on calculating the outcomes of equations with variables squared and grouped within fractions, adjusted according to given values for variables such as x, y, z, b, m, p, r, d, and n. Each question provides a function and specific values for the variables, asking for the resulting value of the equation, with multiple-choice answers provided for the resultant computation. This is a part of a broader learning unit on basic algebra concepts, specifically targeting skills at an intermediate level (Level 2).

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Fractional Squared Terms

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What is the value of this equation when d=4, b=3, c=5

5d2+4c23b\frac{{5d^2 + 4c^2}}{{3b}}

Algebraic Function Variable Substitution - Fractional Squared Terms Worksheet

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Math worksheet on 'Algebraic Function Variable Substitution - Fractional Squared Terms (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 z=2, m=3, y=4
A LaTex expression showing \frac{{4z to the power of 2 + 2y to the power of 2 }}{{4m}}
a A LaTex expression showing 4
b A LaTex expression showing 52
c A LaTex expression showing -52
d A LaTex expression showing -3
e A LaTex expression showing 28
f A LaTex expression showing 2
2
What is the value of this equation when m=5, p=3, r=4
A LaTex expression showing \frac{{4m to the power of 2 + 2r to the power of 2 }}{{2p}}
a A LaTex expression showing -118
b A LaTex expression showing 22
c A LaTex expression showing 118
d A LaTex expression showing 106
e A LaTex expression showing 2
f A LaTex expression showing 3
3
What is the value of this equation when z=4, n=2, b=5
A LaTex expression showing \frac{{4z to the power of 2 + 2b to the power of 2 }}{{3n}}
a A LaTex expression showing 19
b A LaTex expression showing 76
c A LaTex expression showing -76
d A LaTex expression showing 70
e A LaTex expression showing 4
f A LaTex expression showing 3
4
What is the value of this equation when n=5, b=2, p=3
A LaTex expression showing \frac{{6n to the power of 2 + 6p to the power of 2 }}{{3b}}
a A LaTex expression showing -162
b A LaTex expression showing 156
c A LaTex expression showing 34
d A LaTex expression showing 2
e A LaTex expression showing 162
f A LaTex expression showing 2
5
What is the value of this equation when r=3, n=2, m=5
A LaTex expression showing \frac{{6r to the power of 2 + 6m to the power of 2 }}{{3n}}
a A LaTex expression showing -2
b A LaTex expression showing -66
c A LaTex expression showing 60
d A LaTex expression showing 34
e A LaTex expression showing 66
f A LaTex expression showing 3
6
What is the value of this equation when d=5, b=4, p=3
A LaTex expression showing \frac{{2d to the power of 2 + 6p to the power of 2 }}{{2b}}
a A LaTex expression showing 13
b A LaTex expression showing 82
c A LaTex expression showing -3
d A LaTex expression showing 58
e A LaTex expression showing -5
f A LaTex expression showing -82
7
What is the value of this equation when r=5, c=2, b=3
A LaTex expression showing \frac{{5r to the power of 2 + 5b to the power of 2 }}{{5c}}
a A LaTex expression showing 2
b A LaTex expression showing -145
c A LaTex expression showing 17
d A LaTex expression showing 135
e A LaTex expression showing -5
f A LaTex expression showing 145