Fractional Squared Terms (Negatives) (Level 3)

This math topic focuses on Algebraic Function Variable Substitution with Fractional Squared Terms, involving negative values. It provides advanced exercises on substituting given variable values into algebraic expressions involving fractions and powers. Participants are guided to calculate the resultant values by plugging in specific numbers for the variables and squaring complex fractional forms. The skill of handling negative numbers within fractions and exponents, crucial for mastering higher-level algebra, is particularly emphasized. Such exercises are useful for enhancing mental arithmetic and algebraic manipulation capabilities.

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

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

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Math worksheet on 'Algebraic Function Variable Substitution - Fractional Squared Terms (Negatives) (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 m=4, x=-3, z=-4
A LaTex expression showing (\frac{{5m + 5z}}{{5x}}) to the power of 2
a A LaTex expression showing 65
b A LaTex expression showing -5
c A LaTex expression showing -125
d A LaTex expression showing 0
e A LaTex expression showing 3
f A LaTex expression showing 125
2
What is the value of this equation when b=-5, d=-4, x=-3
A LaTex expression showing -(\frac{{3b - 5x}}{{4d}}) to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing 139
c A LaTex expression showing 59
d A LaTex expression showing -2
e A LaTex expression showing -139
f A LaTex expression showing 0
3
What is the value of this equation when m=4, d=-3, c=5
A LaTex expression showing -(\frac{{4m - 5c}}{{3d}}) to the power of 2
a A LaTex expression showing 1m
b A LaTex expression showing 91
c A LaTex expression showing -1
d A LaTex expression showing 4
e A LaTex expression showing -91
f A LaTex expression showing 55
4
What is the value of this equation when p=-3, b=-2, r=7
A LaTex expression showing (\frac{{6p + 2r}}{{2b}}) to the power of 2
a A LaTex expression showing 50
b A LaTex expression showing 1
c A LaTex expression showing -62
d A LaTex expression showing -4
e A LaTex expression showing 4p
f A LaTex expression showing 62
5
What is the value of this equation when b=-5, p=4, r=2
A LaTex expression showing (\frac{{2b + 5r}}{{7p}}) to the power of 2
a A LaTex expression showing 162
b A LaTex expression showing -162
c A LaTex expression showing 0
d A LaTex expression showing 4
e A LaTex expression showing 3
f A LaTex expression showing 78
6
What is the value of this equation when c=-2, r=-3, b=-8
A LaTex expression showing -(\frac{{2c - 2b}}{{2r}}) to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing -26
c A LaTex expression showing -4
d A LaTex expression showing 3
e A LaTex expression showing 26
f A LaTex expression showing 2
7
What is the value of this equation when z=-3, c=-4, m=3
A LaTex expression showing (\frac{{7z + 7m}}{{2c}}) to the power of 2
a A LaTex expression showing 55
b A LaTex expression showing 95
c A LaTex expression showing 4
d A LaTex expression showing 0
e A LaTex expression showing -4
f A LaTex expression showing -95