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Algebraic Function Variable Substitution - 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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Fractional Squared Terms (Negatives)

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What is the value of this equation when p=-5, d=2, x=5

(3p+3x3d)2(\frac{{3p + 3x}}{{3d}})^2

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=-3, x=-2, b=3
A LaTex expression showing (\frac{{4m + 4b}}{{4x}}) to the power of 2
a A LaTex expression showing 1
b A LaTex expression showing -52
c A LaTex expression showing 52
d A LaTex expression showing 0
e A LaTex expression showing 28
f A LaTex expression showing -2
2
What is the value of this equation when p=5, y=-2, z=2
A LaTex expression showing -(\frac{{4p - 4z}}{{2y}}) to the power of 2
a A LaTex expression showing -108
b A LaTex expression showing -2
c A LaTex expression showing -9
d A LaTex expression showing 96
e A LaTex expression showing 108
f A LaTex expression showing 3
3
What is the value of this equation when b=2, z=-4, r=4
A LaTex expression showing -(\frac{{2b - 4r}}{{3z}}) to the power of 2
a A LaTex expression showing -1
b A LaTex expression showing -5
c A LaTex expression showing 4
d A LaTex expression showing -4
e A LaTex expression showing -56
f A LaTex expression showing 56
4
What is the value of this equation when p=-3, r=5, x=-5
A LaTex expression showing -(\frac{{5p - 3x}}{{3r}}) to the power of 2
a A LaTex expression showing 120
b A LaTex expression showing 60
c A LaTex expression showing 1
d A LaTex expression showing 1
e A LaTex expression showing 0
f A LaTex expression showing -120
5
What is the value of this equation when y=4, m=-2, d=5
A LaTex expression showing -(\frac{{5y - 4d}}{{3m}}) to the power of 2
a A LaTex expression showing 3
b A LaTex expression showing -92
c A LaTex expression showing 92
d A LaTex expression showing 0
e A LaTex expression showing 74
f A LaTex expression showing 1
6
What is the value of this equation when y=-3, n=2, c=4
A LaTex expression showing (\frac{{4y + 3c}}{{6n}}) to the power of 2
a A LaTex expression showing 0
b A LaTex expression showing 48
c A LaTex expression showing 1
d A LaTex expression showing -60
e A LaTex expression showing 60
f A LaTex expression showing 3
7
What is the value of this equation when n=-5, p=3, c=-3
A LaTex expression showing -(\frac{{6n - 6c}}{{4p}}) to the power of 2
a A LaTex expression showing -186
b A LaTex expression showing 186
c A LaTex expression showing 162
d A LaTex expression showing -1
e A LaTex expression showing -5
f A LaTex expression showing 3