HomePricing
Sign InJoin

Algebraic Function Variable Substitution - Multiple Fractional Squared Terms (Level 3)

This math topic revolves around the application of algebraic functions with variable substitution, specifically focusing on equations with multiple fractional squared terms. Students are tested on their ability to substitute given values for variables in complex algebraic expressions and simplify the equations to find the correct answers. This involves operations with fractions, squaring variables, and basic algebraic manipulation, as part of more advanced algebra concepts. Each problem presents a different equation with distinct variables and values to be substituted, followed by multiple-choice answers for students to select from.

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

View Unit

Multiple Fractional Squared Terms

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

What is the value of this equation when d=8, m=7, z=5

5d25m2+3z2\frac{{5d^2}}{{5m^2 + 3z^2}}

Algebraic Function Variable Substitution - Multiple Fractional Squared Terms Worksheet

Mobius Math Club logo
Math worksheet on 'Algebraic Function Variable Substitution - Multiple Fractional Squared Terms (Level 3)'. 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=8, d=7, n=5
A LaTex expression showing \frac{{5z to the power of 2 }}{{5d to the power of 2 + 3n to the power of 2 }}
a A LaTex expression showing 4
b A LaTex expression showing -3z
c A LaTex expression showing 1
d A LaTex expression showing -565
e A LaTex expression showing 355
f A LaTex expression showing 565
2
What is the value of this equation when z=5, x=3, p=2
A LaTex expression showing \frac{{3z to the power of 2 }}{{7x to the power of 2 + 3p to the power of 2 }}
a A LaTex expression showing 138
b A LaTex expression showing -2z
c A LaTex expression showing -138
d A LaTex expression showing -2
e A LaTex expression showing 1
f A LaTex expression showing 96
3
What is the value of this equation when z=8, c=7, y=5
A LaTex expression showing \frac{{5z to the power of 2 }}{{5c to the power of 2 + 3y to the power of 2 }}
a A LaTex expression showing 565
b A LaTex expression showing 1
c A LaTex expression showing -4
d A LaTex expression showing 355
e A LaTex expression showing -565
f A LaTex expression showing 3
4
What is the value of this equation when x=5, d=3, b=4
A LaTex expression showing \frac{{4x to the power of 2 }}{{2d to the power of 2 + 2b to the power of 2 }}
a A LaTex expression showing 118
b A LaTex expression showing 106
c A LaTex expression showing -118
d A LaTex expression showing 2
e A LaTex expression showing 1
f A LaTex expression showing -5
5
What is the value of this equation when c=8, m=2, x=5
A LaTex expression showing \frac{{2c to the power of 2 }}{{7m to the power of 2 + 4x to the power of 2 }}
a A LaTex expression showing 142
b A LaTex expression showing 1
c A LaTex expression showing -2
d A LaTex expression showing -156
e A LaTex expression showing -3
f A LaTex expression showing 156
6
What is the value of this equation when p=6, r=3, x=4
A LaTex expression showing \frac{{7p to the power of 2 }}{{4r to the power of 2 + 3x to the power of 2 }}
a A LaTex expression showing 288
b A LaTex expression showing 3
c A LaTex expression showing 264
d A LaTex expression showing -4
e A LaTex expression showing 4
f A LaTex expression showing -288
7
What is the value of this equation when d=8, r=2, z=4
A LaTex expression showing \frac{{7d to the power of 2 }}{{2r to the power of 2 + 3z to the power of 2 }}
a A LaTex expression showing 8
b A LaTex expression showing 4
c A LaTex expression showing 4
d A LaTex expression showing 452
e A LaTex expression showing -456
f A LaTex expression showing 456