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Algebraic Function Variable Substitution - Bracketed Squared Terms (Level 2)

This math topic focuses on algebraic function variable substitution, particularly with expressions involving bracketed squared terms. The skill practiced is substituting specific values for variables in algebraic expressions that include terms squared within brackets, and then solving for the numerical results. The questions provide different sets of variable values for which the student needs to evaluate the expressions. Each question offers multiple-choice answers ranging from correct numerical values to potential misconceptions related to sign errors or calculation mistakes. This reinforces understanding of algebraic manipulation and powers while emphasizing attention to detail in solving.

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

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Bracketed Squared Terms

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What is the value of this equation when p=4, n=2

(3p−5n)2(3p - 5n)^2

Algebraic Function Variable Substitution - Bracketed Squared Terms Worksheet

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Math worksheet on 'Algebraic Function Variable Substitution - Bracketed Squared Terms (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 is the value of this equation when r=4, p=3
A LaTex expression showing (6r - 4p) to the power of 2
a A LaTex expression showing -132
b A LaTex expression showing 576
c A LaTex expression showing -96
d A LaTex expression showing 108
e A LaTex expression showing 144
f A LaTex expression showing 132
2
What is the value of this equation when y=5, c=3
A LaTex expression showing (2y - 2c) to the power of 2
a A LaTex expression showing -68
b A LaTex expression showing 56
c A LaTex expression showing 68
d A LaTex expression showing 16
e A LaTex expression showing 100
f A LaTex expression showing -50
3
What is the value of this equation when m=4, z=3
A LaTex expression showing (5m - 5z) to the power of 2
a A LaTex expression showing 25
b A LaTex expression showing 95
c A LaTex expression showing -125
d A LaTex expression showing 400
e A LaTex expression showing 125
f A LaTex expression showing -80
4
What is the value of this equation when n=3, x=2
A LaTex expression showing (5n - 2x) to the power of 2
a A LaTex expression showing 121
b A LaTex expression showing -45
c A LaTex expression showing -53
d A LaTex expression showing 53
e A LaTex expression showing 225
f A LaTex expression showing 49
5
What is the value of this equation when p=2, d=4
A LaTex expression showing (5p - 2d) to the power of 2
a A LaTex expression showing 4
b A LaTex expression showing 100
c A LaTex expression showing -52
d A LaTex expression showing 52
e A LaTex expression showing 28
f A LaTex expression showing -20
6
What is the value of this equation when x=3, z=4
A LaTex expression showing (6x - 3z) to the power of 2
a A LaTex expression showing 66
b A LaTex expression showing 324
c A LaTex expression showing -102
d A LaTex expression showing 102
e A LaTex expression showing 36
f A LaTex expression showing -54
7
What is the value of this equation when p=5, m=3
A LaTex expression showing (6p - 6m) to the power of 2
a A LaTex expression showing 204
b A LaTex expression showing 144
c A LaTex expression showing 168
d A LaTex expression showing -204
e A LaTex expression showing 900
f A LaTex expression showing -150