Fractional Squared Terms (Negatives) (Level 2)

This math topic focuses on variable substitution in algebraic functions that involve fractional squared terms and negatives. It is included in an advanced segment of Algebra basic concepts. Students are required to calculate the value of given expressions for specific variable values. The questions use rational expressions with variables squared, including instances where variables are negative. Several multiple-choice answers are offered for each question, and students must solve the equations to find the correct value among the options presented. This practice requires a good understanding of algebraic manipulation, substitution, and simplification of complex fractions.

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 (Negatives) Worksheet

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Algebraic Function Variable Substitution - Fractional Squared Terms (Negatives)
1
What is the value of this equation when m=6, p=8, r=-2
A LaTex expression showing \frac{{4m to the power of 2 + 4r to the power of 2 }}{{4p}}
a A LaTex expression showing 5
b A LaTex expression showing 400
c A LaTex expression showing 176
d A LaTex expression showing -5
e A LaTex expression showing -400
f A LaTex expression showing -2m
2
What is the value of this equation when y=2, b=-7, r=-3
A LaTex expression showing \frac{{3y to the power of 2 - 6r to the power of 2 }}{{3b}}
a A LaTex expression showing 2
b A LaTex expression showing 159
c A LaTex expression showing -159
d A LaTex expression showing -5
e A LaTex expression showing -2y
f A LaTex expression showing -2
3
What is the value of this equation when z=5, n=3, b=-2
A LaTex expression showing \frac{{6z to the power of 2 - 6b to the power of 2 }}{{7n}}
a A LaTex expression showing -4
b A LaTex expression showing -6
c A LaTex expression showing 213
d A LaTex expression showing 1
e A LaTex expression showing 6
f A LaTex expression showing -213
4
What is the value of this equation when b=8, d=4, x=-8
A LaTex expression showing \frac{{3b to the power of 2 + 6x to the power of 2 }}{{4d}}
a A LaTex expression showing 208
b A LaTex expression showing 256
c A LaTex expression showing 36
d A LaTex expression showing 3
e A LaTex expression showing 1
f A LaTex expression showing -256
5
What is the value of this equation when m=-2, n=4, c=-4
A LaTex expression showing \frac{{4m to the power of 2 + 6c to the power of 2 }}{{4n}}
a A LaTex expression showing 7
b A LaTex expression showing 80
c A LaTex expression showing -80
d A LaTex expression showing 32
e A LaTex expression showing -2
f A LaTex expression showing 1
6
What is the value of this equation when r=-4, m=-7, b=4
A LaTex expression showing \frac{{7r to the power of 2 - 7b to the power of 2 }}{{7m}}
a A LaTex expression showing 455
b A LaTex expression showing 0r
c A LaTex expression showing 0
d A LaTex expression showing 4
e A LaTex expression showing -455
f A LaTex expression showing -2
7
What is the value of this equation when b=-7, x=-4, r=4
A LaTex expression showing \frac{{4b to the power of 2 - 4r to the power of 2 }}{{3x}}
a A LaTex expression showing -11
b A LaTex expression showing 244
c A LaTex expression showing -5
d A LaTex expression showing 11
e A LaTex expression showing -244
f A LaTex expression showing -4
8
What is the value of this equation when x=8, y=-2, r=4
A LaTex expression showing \frac{{6x to the power of 2 + 2r to the power of 2 }}{{2y}}
a A LaTex expression showing 392
b A LaTex expression showing -392
c A LaTex expression showing -4
d A LaTex expression showing -104
e A LaTex expression showing 380
f A LaTex expression showing -2