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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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 - Practice' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_practice/
1
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 -20
b A LaTex expression showing 28
c A LaTex expression showing 52
d A LaTex expression showing 100
e A LaTex expression showing 4
f A LaTex expression showing -52
2
What is the value of this equation when z=4, p=3
A LaTex expression showing (5z - 5p) to the power of 2
a A LaTex expression showing 125
b A LaTex expression showing 95
c A LaTex expression showing -80
d A LaTex expression showing -125
e A LaTex expression showing 25
f A LaTex expression showing 400
3
What is the value of this equation when d=2, n=3
A LaTex expression showing (6d - 3n) to the power of 2
a A LaTex expression showing 144
b A LaTex expression showing 9
c A LaTex expression showing -51
d A LaTex expression showing 51
e A LaTex expression showing -24
f A LaTex expression showing 33
4
What is the value of this equation when y=3, c=5
A LaTex expression showing (5y - 3c) to the power of 2
a A LaTex expression showing 120
b A LaTex expression showing 225
c A LaTex expression showing -120
d A LaTex expression showing -45
e A LaTex expression showing 60
f A LaTex expression showing 0
5
What is the value of this equation when z=4, n=3
A LaTex expression showing (4z - 4n) to the power of 2
a A LaTex expression showing 100
b A LaTex expression showing 76
c A LaTex expression showing 16
d A LaTex expression showing -64
e A LaTex expression showing -100
f A LaTex expression showing 256
6
What is the value of this equation when p=4, n=2
A LaTex expression showing (3p - 5n) to the power of 2
a A LaTex expression showing 144
b A LaTex expression showing -48
c A LaTex expression showing 4
d A LaTex expression showing -68
e A LaTex expression showing 68
f A LaTex expression showing 58
7
What is the value of this equation when m=5, n=2
A LaTex expression showing (4m - 6n) to the power of 2
a A LaTex expression showing -124
b A LaTex expression showing 64
c A LaTex expression showing -100
d A LaTex expression showing 112
e A LaTex expression showing 124
f A LaTex expression showing 400