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).

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Function Variable Substitution - Fractional Squared Terms Worksheet

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Algebraic Function Variable Substitution - Fractional Squared Terms
1
What is the value of this equation when b=2, p=3, m=5
A LaTex expression showing \frac{{2b to the power of 2 + 4m to the power of 2 }}{{3p}}
a A LaTex expression showing 35
b A LaTex expression showing 3
c A LaTex expression showing -35
d A LaTex expression showing 17
e A LaTex expression showing 12
f A LaTex expression showing 2
2
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 2
b A LaTex expression showing 162
c A LaTex expression showing 34
d A LaTex expression showing -162
e A LaTex expression showing 2
f A LaTex expression showing 156
3
What is the value of this equation when n=4, c=3, r=2
A LaTex expression showing \frac{{4n to the power of 2 + 2r to the power of 2 }}{{4c}}
a A LaTex expression showing -100
b A LaTex expression showing 1
c A LaTex expression showing 76
d A LaTex expression showing 6
e A LaTex expression showing 100
f A LaTex expression showing 1
4
What is the value of this equation when y=4, c=3, n=5
A LaTex expression showing \frac{{5y to the power of 2 + 4n to the power of 2 }}{{2c}}
a A LaTex expression showing -98
b A LaTex expression showing 30
c A LaTex expression showing 98
d A LaTex expression showing 86
e A LaTex expression showing 3
f A LaTex expression showing 4
5
What is the value of this equation when n=4, c=3, x=2
A LaTex expression showing \frac{{3n to the power of 2 + 6x to the power of 2 }}{{2c}}
a A LaTex expression showing 54
b A LaTex expression showing 4
c A LaTex expression showing -3
d A LaTex expression showing 66
e A LaTex expression showing 12
f A LaTex expression showing -66
6
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 135
b A LaTex expression showing 145
c A LaTex expression showing -5
d A LaTex expression showing 2
e A LaTex expression showing -145
f A LaTex expression showing 17
7
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 70
b A LaTex expression showing -76
c A LaTex expression showing 19
d A LaTex expression showing 3
e A LaTex expression showing 4
f A LaTex expression showing 76
8
What is the value of this equation when p=3, y=2, r=4
A LaTex expression showing \frac{{4p to the power of 2 + 5r to the power of 2 }}{{2y}}
a A LaTex expression showing -5
b A LaTex expression showing 29
c A LaTex expression showing 40
d A LaTex expression showing -2
e A LaTex expression showing 44
f A LaTex expression showing -44