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

This math topic focuses on substituting variables into algebraic expressions involving fractional and negative terms. It is part of a unit on negative integers, emphasizing equation manipulation with negative numbers and fractions. Each question presents a fraction containing variables, where students substitute given numbers for these variables to simplify the expression. The questions test the student's ability to apply basic arithmetic operations on fractions including addition, subtraction, multiplication, and understanding of powers, enhancing their skills in algebraic manipulation and integer properties.

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 (Negatives)

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What does this equation become when n=-3, z=-5, p=5

5n3p3z\frac{{5n - 3p}}{{3z}}

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

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