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Algebraic Functions - Variable Substitution to Equation - Multiple Fractional Terms (Negatives) (Level 2)

This math topic focuses on advanced algebraic concepts where learners practice substituting specific numerical values for variables in algebraic equations that include multiple fractional terms, some with negatives. It tests the ability to simplify the expressions theoretically and then choose the correct answer from multiple options. The equations primarily involve operations with fractions, manipulation of negatives, and require an understanding of basic algebraic principles such as distributive, associative, and commutative properties.

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

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Variable Substitution to Equation - Multiple Fractional Terms (Negatives)

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

What does this equation become when r=5, m=3, d=-5, x=-2

−6r5m−4d5x\frac{{-6r}}{{5m}} - \frac{{4d}}{{5x}}

Algebraic Functions - Variable Substitution to Equation - Multiple Fractional Terms (Negatives) Worksheet

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Math worksheet on 'Algebraic Functions - Variable Substitution to Equation - Multiple Fractional 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 does this equation become when m=-4, d=4, r=5, b=3
A LaTex expression showing \frac{{-6m}}{{3d}} - \frac{{3r}}{{5b}}
a A LaTex expression showing \frac{{6 times -4}}{{3 times 4}} - \frac{{3 times 5}}{{5 times 3}}
b A LaTex expression showing \frac{{-6 times -4}}{{3 times 4}} + \frac{{3 times 5}}{{5 times 3}}
c A LaTex expression showing \frac{{6 times -4}}{{3 times 4}} + \frac{{3 times 5}}{{5 times 3}}
d A LaTex expression showing \frac{{-6 + -4}}{{3 + 4}} - \frac{{3 + 5}}{{5 + 3}}
e A LaTex expression showing \frac{{-6 times -4}}{{3 times 4}} multiplied by \frac{{3 times 5}}{{5 times 3}}
f A LaTex expression showing \frac{{-6 times -4}}{{3 times 4}} - \frac{{3 times 5}}{{5 times 3}}
2
What does this equation become when x=-2, b=-3, n=5, z=4
A LaTex expression showing \frac{{-3x}}{{2b}} - \frac{{4n}}{{5z}}
a A LaTex expression showing \frac{{3 times -2}}{{2 times -3}} + \frac{{4 times 5}}{{5 times 4}}
b A LaTex expression showing \frac{{-3 times -2}}{{2 times -3}} multiplied by \frac{{4 times 5}}{{5 times 4}}
c A LaTex expression showing \frac{{-3 times -2}}{{2 times -3}} + \frac{{4 times 5}}{{5 times 4}}
d A LaTex expression showing \frac{{-3 + -2}}{{2 + -3}} - \frac{{4 + 5}}{{5 + 4}}
e A LaTex expression showing \frac{{-3 times -2}}{{2 times -3}} - \frac{{4 times 5}}{{5 times 4}}
f A LaTex expression showing \frac{{3 times -2}}{{2 times -3}} - \frac{{4 times 5}}{{5 times 4}}
3
What does this equation become when p=-4, b=4, c=3, m=2
A LaTex expression showing \frac{{-4p}}{{4b}} - \frac{{4c}}{{6m}}
a A LaTex expression showing \frac{{4 times -4}}{{4 times 4}} + \frac{{4 times 3}}{{6 times 2}}
b A LaTex expression showing \frac{{4 times -4}}{{4 times 4}} - \frac{{4 times 3}}{{6 times 2}}
c A LaTex expression showing \frac{{-4 times -4}}{{4 times 4}} - \frac{{4 times 3}}{{6 times 2}}
d A LaTex expression showing \frac{{-4 times -4}}{{4 times 4}} + \frac{{4 times 3}}{{6 times 2}}
e A LaTex expression showing \frac{{-4 + -4}}{{4 + 4}} - \frac{{4 + 3}}{{6 + 2}}
f A LaTex expression showing \frac{{-4 times -4}}{{4 times 4}} multiplied by \frac{{4 times 3}}{{6 times 2}}
4
What does this equation become when z=-4, x=-2, d=4, y=3
A LaTex expression showing \frac{{-2z}}{{4x}} - \frac{{6d}}{{2y}}
a A LaTex expression showing \frac{{-2 times -4}}{{4 times -2}} - \frac{{6 times 4}}{{2 times 3}}
b A LaTex expression showing \frac{{-2 times -4}}{{4 times -2}} + \frac{{6 times 4}}{{2 times 3}}
c A LaTex expression showing \frac{{-2 times -4}}{{4 times -2}} multiplied by \frac{{6 times 4}}{{2 times 3}}
d A LaTex expression showing \frac{{2 times -4}}{{4 times -2}} + \frac{{6 times 4}}{{2 times 3}}
e A LaTex expression showing \frac{{-2 + -4}}{{4 + -2}} - \frac{{6 + 4}}{{2 + 3}}
f A LaTex expression showing \frac{{2 times -4}}{{4 times -2}} - \frac{{6 times 4}}{{2 times 3}}
5
What does this equation become when m=-4, y=2, b=3, p=-2
A LaTex expression showing \frac{{6m}}{{3y}} + \frac{{4b}}{{2p}}
a A LaTex expression showing \frac{{6 times -4}}{{3 times 2}} multiplied by \frac{{4 times 3}}{{2 times -2}}
b A LaTex expression showing \frac{{6 times -4 + 4 times 3}}{{3 times 2}}
c A LaTex expression showing \frac{{6 + -4}}{{3 + 2}} + \frac{{4 + 3}}{{2 + -2}}
d A LaTex expression showing \frac{{6 times -4}}{{3 times 2 - 4 times 3}}
e A LaTex expression showing \frac{{6 times -4}}{{3 times 2}} - \frac{{4 times 3}}{{2 times -2}}
f A LaTex expression showing \frac{{6 times -4}}{{3 times 2}} + \frac{{4 times 3}}{{2 times -2}}
6
What does this equation become when b=-5, m=-2, p=3, y=2
A LaTex expression showing \frac{{6b}}{{3m}} + \frac{{4p}}{{3y}}
a A LaTex expression showing \frac{{6 times -5}}{{3 times -2}} multiplied by \frac{{4 times 3}}{{3 times 2}}
b A LaTex expression showing \frac{{6 + -5}}{{3 + -2}} + \frac{{4 + 3}}{{3 + 2}}
c A LaTex expression showing \frac{{6 times -5}}{{3 times -2}} - \frac{{4 times 3}}{{3 times 2}}
d A LaTex expression showing \frac{{6 times -5}}{{3 times -2}} + \frac{{4 times 3}}{{3 times 2}}
e A LaTex expression showing \frac{{6 times -5 + 4 times 3}}{{3 times -2}}
f A LaTex expression showing \frac{{6 times -5}}{{3 times -2 - 4 times 3}}
7
What does this equation become when y=5, r=-2, p=-3, z=3
A LaTex expression showing \frac{{-4y}}{{5r}} - \frac{{6p}}{{3z}}
a A LaTex expression showing \frac{{-4 times 5}}{{5 times -2}} + \frac{{6 times -3}}{{3 times 3}}
b A LaTex expression showing \frac{{-4 times 5}}{{5 times -2}} - \frac{{6 times -3}}{{3 times 3}}
c A LaTex expression showing \frac{{4 times 5}}{{5 times -2}} + \frac{{6 times -3}}{{3 times 3}}
d A LaTex expression showing \frac{{-4 times 5}}{{5 times -2}} multiplied by \frac{{6 times -3}}{{3 times 3}}
e A LaTex expression showing \frac{{4 times 5}}{{5 times -2}} - \frac{{6 times -3}}{{3 times 3}}
f A LaTex expression showing \frac{{-4 + 5}}{{5 + -2}} - \frac{{6 + -3}}{{3 + 3}}