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

This math topic involves solving algebraic equations with variable substitution and deals primarily with fractional terms from equations. The exercises focus on substituting variables with specific integer values, and calculating the resulting expressions which sometimes include negative integers. Each question presents an algebraic equation in fraction form and asks the student to substitute given values for variables and choose the correct resultant expression from multiple options, examining their understanding in applying algebraic operations with fractions and negative integers.

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

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Variable Substitution to Equation - Fractional Terms

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

What does this equation become when d=3, r=4, y=5

5d+5y2r\frac{{5d + 5y}}{{2r}}

Algebraic Functions - Variable Substitution to Equation - Fractional Terms Worksheet

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Math worksheet on 'Algebraic Functions - Variable Substitution to Equation - Fractional Terms (Level 2)'. Part of a broader unit on 'Negative Integers - Practice' Learn online: app.mobius.academy/math/units/negative_integers_practice/
1
What does this equation become when p=4, c=3, n=2
A LaTex expression showing \frac{{5p + 5n}}{{5c}}
a A LaTex expression showing \frac{{5 - 4 - 5 - 2}}{{5 - 3}}
b A LaTex expression showing 5 - 4 + 5 - 3
c A LaTex expression showing 5 to the power of {4 } + 5 to the power of {3 }
d A LaTex expression showing \frac{{5 + 4 + 5 + 2}}{{5 + 3}}
e A LaTex expression showing \frac{{5 times 4 + 5 times 2}}{{5 times 3}}
f A LaTex expression showing \frac{{5 to the power of {4 } + 5 to the power of {2 }}}{{5 to the power of {3 }}}
2
What does this equation become when d=3, r=4, y=5
A LaTex expression showing \frac{{5d + 5y}}{{2r}}
a A LaTex expression showing \frac{{5 - 3 - 5 - 5}}{{2 - 4}}
b A LaTex expression showing \frac{{5 times 3 + 5 times 5}}{{2 times 4}}
c A LaTex expression showing \frac{{5 to the power of {3 } + 5 to the power of {5 }}}{{2 to the power of {4 }}}
d A LaTex expression showing 5 to the power of {3 } + 2 to the power of {4 }
e A LaTex expression showing 5 - 3 + 2 - 4
f A LaTex expression showing \frac{{5 + 3 + 5 + 5}}{{2 + 4}}
3
What does this equation become when x=2, y=5, b=4
A LaTex expression showing \frac{{6x + 2b}}{{2y}}
a A LaTex expression showing \frac{{6 to the power of {2 } + 2 to the power of {4 }}}{{2 to the power of {5 }}}
b A LaTex expression showing 6 to the power of {2 } + 2 to the power of {5 }
c A LaTex expression showing \frac{{6 - 2 - 2 - 4}}{{2 - 5}}
d A LaTex expression showing \frac{{6 + 2 + 2 + 4}}{{2 + 5}}
e A LaTex expression showing \frac{{6 times 2 + 2 times 4}}{{2 times 5}}
f A LaTex expression showing 6 - 2 + 2 - 5
4
What does this equation become when z=5, m=4, b=2
A LaTex expression showing \frac{{2z + 5b}}{{5m}}
a A LaTex expression showing \frac{{2 times 5 + 5 times 2}}{{5 times 4}}
b A LaTex expression showing 2 to the power of {5 } + 5 to the power of {4 }
c A LaTex expression showing \frac{{2 - 5 - 5 - 2}}{{5 - 4}}
d A LaTex expression showing \frac{{2 to the power of {5 } + 5 to the power of {2 }}}{{5 to the power of {4 }}}
e A LaTex expression showing \frac{{2 + 5 + 5 + 2}}{{5 + 4}}
f A LaTex expression showing 2 - 5 + 5 - 4
5
What does this equation become when n=4, m=2, b=5
A LaTex expression showing \frac{{5n + 6b}}{{5m}}
a A LaTex expression showing \frac{{5 times 4 + 6 times 5}}{{5 times 2}}
b A LaTex expression showing \frac{{5 + 4 + 6 + 5}}{{5 + 2}}
c A LaTex expression showing 5 to the power of {4 } + 5 to the power of {2 }
d A LaTex expression showing 5 - 4 + 5 - 2
e A LaTex expression showing \frac{{5 to the power of {4 } + 6 to the power of {5 }}}{{5 to the power of {2 }}}
f A LaTex expression showing \frac{{5 - 4 - 6 - 5}}{{5 - 2}}
6
What does this equation become when c=3, r=2, y=5
A LaTex expression showing \frac{{2c + 2y}}{{2r}}
a A LaTex expression showing 2 to the power of {3 } + 2 to the power of {2 }
b A LaTex expression showing \frac{{2 - 3 - 2 - 5}}{{2 - 2}}
c A LaTex expression showing \frac{{2 to the power of {3 } + 2 to the power of {5 }}}{{2 to the power of {2 }}}
d A LaTex expression showing \frac{{2 times 3 + 2 times 5}}{{2 times 2}}
e A LaTex expression showing \frac{{2 + 3 + 2 + 5}}{{2 + 2}}
f A LaTex expression showing 2 - 3 + 2 - 2
7
What does this equation become when n=5, z=4, y=3
A LaTex expression showing \frac{{2n + 2y}}{{4z}}
a A LaTex expression showing \frac{{2 times 5 + 2 times 3}}{{4 times 4}}
b A LaTex expression showing 2 to the power of {5 } + 4 to the power of {4 }
c A LaTex expression showing \frac{{2 to the power of {5 } + 2 to the power of {3 }}}{{4 to the power of {4 }}}
d A LaTex expression showing \frac{{2 - 5 - 2 - 3}}{{4 - 4}}
e A LaTex expression showing 2 - 5 + 4 - 4
f A LaTex expression showing \frac{{2 + 5 + 2 + 3}}{{4 + 4}}