Bracketed Squared Terms (Level 1)

This math topic focuses on the substitution of variables into algebraic functions that involve bracketed squared terms. The problems require the evaluation of expressions where the inputs are given specific values. The expressions typically take the form of a binomial squared, such as \((ax + by)^2\), where \(x, y, a,\) and \(b\) are particular numbers. The solutions involve calculating the squared value of linear expressions by substituting the given values and possibly expanding the brackets to find the correct result. This emphasis is on reinforcing the ability to manipulate and evaluate algebraic expressions in squared form.

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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Algebraic Function Variable Substitution - Bracketed Squared Terms
1
What is the value of this equation when m=2, x=4
A LaTex expression showing (2m + 2x) to the power of 2
a A LaTex expression showing 16
b A LaTex expression showing -8
c A LaTex expression showing 16
d A LaTex expression showing -16
e A LaTex expression showing 40
f A LaTex expression showing 144
2
What is the value of this equation when y=3, p=2
A LaTex expression showing (3y + 2p) to the power of 2
a A LaTex expression showing -81
b A LaTex expression showing 35
c A LaTex expression showing -27
d A LaTex expression showing 169
e A LaTex expression showing 31
f A LaTex expression showing 81
3
What is the value of this equation when c=3, z=2
A LaTex expression showing (3c + 2z) to the power of 2
a A LaTex expression showing 31
b A LaTex expression showing 169
c A LaTex expression showing -81
d A LaTex expression showing -27
e A LaTex expression showing 81
f A LaTex expression showing 35
4
What is the value of this equation when d=3, c=2
A LaTex expression showing (2d + 2c) to the power of 2
a A LaTex expression showing -18
b A LaTex expression showing -36
c A LaTex expression showing 100
d A LaTex expression showing 26
e A LaTex expression showing 36
f A LaTex expression showing 22
5
What is the value of this equation when d=2, r=4
A LaTex expression showing (2d + 2r) to the power of 2
a A LaTex expression showing 40
b A LaTex expression showing -16
c A LaTex expression showing 16
d A LaTex expression showing -8
e A LaTex expression showing 144
f A LaTex expression showing 16
6
What is the value of this equation when r=2, z=4
A LaTex expression showing (2r + 2z) to the power of 2
a A LaTex expression showing 16
b A LaTex expression showing -16
c A LaTex expression showing 144
d A LaTex expression showing 16
e A LaTex expression showing 40
f A LaTex expression showing -8
7
What is the value of this equation when z=3, n=2
A LaTex expression showing (3z + 2n) to the power of 2
a A LaTex expression showing 169
b A LaTex expression showing -81
c A LaTex expression showing 31
d A LaTex expression showing 35
e A LaTex expression showing 81
f A LaTex expression showing -27
8
What is the value of this equation when n=2, z=3
A LaTex expression showing (2n + 2z) to the power of 2
a A LaTex expression showing 26
b A LaTex expression showing 14
c A LaTex expression showing -16
d A LaTex expression showing 16
e A LaTex expression showing -8
f A LaTex expression showing 100