Algebraic Function Variable Substitution

Multiple Fractional Terms (Negatives) (Level 2)

This math topic focuses on advanced algebraic concepts, particularly dealing with substituting variables into algebraic functions that contain multiple fractional terms with negative values. Students practice evaluating expressions by substituting given values for variables such as \(n\), \(y\), \(p\), \(m\), \(b\), \(c\), \(z\), \(d\), \(r\), and \(x\) into complex fractions. Each question requires calculation and simplification of expressions, which potentially includes adding or subtracting these fractions. This requires a firm grasp of basic operations with fractions, handling of negative signs, and simplifying expressions to find the correct value among multiple choice options.

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

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Algebraic Function Variable Substitution - Multiple Fractional Terms (Negatives) Worksheet

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Algebraic Function Variable Substitution - Multiple Fractional Terms ...
1
What is the value of this equation when c=6, b=-7, x=-8, n=-4
A LaTex expression showing \frac{{7c}}{{2b}} + \frac{{6x}}{{4n}}
a A LaTex expression showing -4
b A LaTex expression showing 238
c A LaTex expression showing -5
d A LaTex expression showing 350
e A LaTex expression showing 0
f A LaTex expression showing -350
2
What is the value of this equation when p=-5, z=5, x=-7, c=2
A LaTex expression showing \frac{{-4p}}{{4z}} - \frac{{6x}}{{3c}}
a A LaTex expression showing 8
b A LaTex expression showing -4
c A LaTex expression showing 4
d A LaTex expression showing -200
e A LaTex expression showing 120
f A LaTex expression showing 200
3
What is the value of this equation when c=-4, n=3, y=6, m=-6
A LaTex expression showing \frac{{3c}}{{4n}} + \frac{{6y}}{{3m}}
a A LaTex expression showing -3
b A LaTex expression showing 84
c A LaTex expression showing 2
d A LaTex expression showing 60
e A LaTex expression showing -5c
f A LaTex expression showing -84
4
What is the value of this equation when c=4, y=-5, d=-3, r=2
A LaTex expression showing \frac{{5c}}{{2y}} + \frac{{6d}}{{3r}}
a A LaTex expression showing 4
b A LaTex expression showing -5
c A LaTex expression showing -130
d A LaTex expression showing 70
e A LaTex expression showing -3c
f A LaTex expression showing 130
5
What is the value of this equation when z=-6, b=-2, x=-5, p=3
A LaTex expression showing \frac{{-4z}}{{2b}} - \frac{{6x}}{{2p}}
a A LaTex expression showing 140
b A LaTex expression showing -152
c A LaTex expression showing 2
d A LaTex expression showing -5
e A LaTex expression showing -1
f A LaTex expression showing 152
6
What is the value of this equation when y=3, b=-7, p=-8, z=-4
A LaTex expression showing \frac{{7y}}{{3b}} + \frac{{2p}}{{2z}}
a A LaTex expression showing 42
b A LaTex expression showing -3
c A LaTex expression showing 3
d A LaTex expression showing 210
e A LaTex expression showing 1
f A LaTex expression showing -210
7
What is the value of this equation when r=-8, n=-2, d=8, y=2
A LaTex expression showing \frac{{-2r}}{{4n}} - \frac{{7d}}{{2y}}
a A LaTex expression showing -144
b A LaTex expression showing 144
c A LaTex expression showing -16
d A LaTex expression showing 4
e A LaTex expression showing 120
f A LaTex expression showing 1
8
What is the value of this equation when n=-8, p=2, d=4, m=6
A LaTex expression showing \frac{{6n}}{{6p}} + \frac{{3d}}{{2m}}
a A LaTex expression showing -4
b A LaTex expression showing -3
c A LaTex expression showing 396
d A LaTex expression showing -408
e A LaTex expression showing 408
f A LaTex expression showing 4