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.

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

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Algebraic Function Variable Substitution - Fractional Squared Terms (Negatives)
1
What is the value of this equation when r=4, d=-5, c=-2
A LaTex expression showing (\frac{{3r + 6c}}{{2d}}) to the power of 2
a A LaTex expression showing 2
b A LaTex expression showing 98
c A LaTex expression showing -98
d A LaTex expression showing 0
e A LaTex expression showing 1
f A LaTex expression showing 38
2
What is the value of this equation when p=-7, r=2, b=-2
A LaTex expression showing -(\frac{{2p - 2b}}{{5r}}) to the power of 2
a A LaTex expression showing 118
b A LaTex expression showing 108
c A LaTex expression showing 1
d A LaTex expression showing 2
e A LaTex expression showing -118
f A LaTex expression showing -1
3
What is the value of this equation when y=-4, p=-2, b=-6
A LaTex expression showing -(\frac{{6y - 4b}}{{7p}}) to the power of 2
a A LaTex expression showing 82
b A LaTex expression showing -124
c A LaTex expression showing 124
d A LaTex expression showing 0
e A LaTex expression showing 4
f A LaTex expression showing -3
4
What is the value of this equation when z=-6, r=-7, y=8
A LaTex expression showing (\frac{{4z + 3y}}{{4r}}) to the power of 2
a A LaTex expression showing -3
b A LaTex expression showing -340
c A LaTex expression showing 340
d A LaTex expression showing 0
e A LaTex expression showing 2
f A LaTex expression showing 116
5
What is the value of this equation when d=5, y=-6, n=6
A LaTex expression showing -(\frac{{6d - 5n}}{{5y}}) to the power of 2
a A LaTex expression showing 120
b A LaTex expression showing -330
c A LaTex expression showing 330
d A LaTex expression showing 3
e A LaTex expression showing 4
f A LaTex expression showing 0
6
What is the value of this equation when b=-2, z=-4, m=2
A LaTex expression showing (\frac{{7b + 7m}}{{3z}}) to the power of 2
a A LaTex expression showing -4
b A LaTex expression showing -76
c A LaTex expression showing 76
d A LaTex expression showing 0
e A LaTex expression showing 16
f A LaTex expression showing -3
7
What is the value of this equation when r=-4, x=4, b=-2
A LaTex expression showing -(\frac{{2r - 4b}}{{4x}}) to the power of 2
a A LaTex expression showing -96
b A LaTex expression showing 96
c A LaTex expression showing -3
d A LaTex expression showing 0
e A LaTex expression showing 48
f A LaTex expression showing -4r
8
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 -4
b A LaTex expression showing 26
c A LaTex expression showing 2
d A LaTex expression showing 3
e A LaTex expression showing -26
f A LaTex expression showing 1