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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Math worksheet on 'Algebraic Function Variable Substitution - 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 d=4, x=8, r=-4
A LaTex expression showing \frac{{2d to the power of 2 + 4r to the power of 2 }}{{2x}}
a A LaTex expression showing -160
b A LaTex expression showing 48
c A LaTex expression showing -5
d A LaTex expression showing 160
e A LaTex expression showing 6
f A LaTex expression showing -3
2
What is the value of this equation when r=-2, z=7, y=-3
A LaTex expression showing \frac{{4r to the power of 2 + 6y to the power of 2 }}{{5z}}
a A LaTex expression showing 261
b A LaTex expression showing -261
c A LaTex expression showing -3
d A LaTex expression showing -3r
e A LaTex expression showing 2
f A LaTex expression showing 51
3
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 -159
b A LaTex expression showing -2
c A LaTex expression showing -5
d A LaTex expression showing 2
e A LaTex expression showing -2y
f A LaTex expression showing 159
4
What is the value of this equation when c=-2, m=4, r=-6
A LaTex expression showing \frac{{2c to the power of 2 - 6r to the power of 2 }}{{2m}}
a A LaTex expression showing 40
b A LaTex expression showing 2
c A LaTex expression showing -26
d A LaTex expression showing 4
e A LaTex expression showing -40
f A LaTex expression showing 26
5
What is the value of this equation when z=3, m=8, b=-3
A LaTex expression showing \frac{{3z to the power of 2 + 5b to the power of 2 }}{{3m}}
a A LaTex expression showing 3
b A LaTex expression showing 51
c A LaTex expression showing -5z
d A LaTex expression showing 219
e A LaTex expression showing -5
f A LaTex expression showing -219
6
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 -213
b A LaTex expression showing -4
c A LaTex expression showing -6
d A LaTex expression showing 1
e A LaTex expression showing 213
f A LaTex expression showing 6
7
What is the value of this equation when z=-4, d=-2, r=-6
A LaTex expression showing \frac{{3z to the power of 2 + 2r to the power of 2 }}{{4d}}
a A LaTex expression showing 40
b A LaTex expression showing -15
c A LaTex expression showing 1
d A LaTex expression showing 64
e A LaTex expression showing 3
f A LaTex expression showing -64