Bracketed Terms, Squared (Level 1)

This topic focuses on advanced algebraic functions involving bracketed terms and squared expressions. It's part of a broader unit on Polynomials and Quadratics. The problems presented involve identifying equivalent expressions for given formulas such as (n + 3)², (x + 5)², (d + 9)², (b + 5)², (x + 3)², (m + 3)², and (b + 4)². This requires understanding the principles of expanding and simplifying algebraic expressions.

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

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Algebraic Functions - Bracketed Terms, Squared Worksheet

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Math worksheet on 'Algebraic Functions - Bracketed Terms, Squared (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
A LaTex expression showing (z + 6) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 + 12z + 36
b A LaTex expression showing z to the power of 2 - 12z + 36
2
A LaTex expression showing (z + 2) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing 4z to the power of 2 + z + 4
b A LaTex expression showing z to the power of 2 + 4z + 4
3
A LaTex expression showing (z + 7) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 + 14z + 49
b A LaTex expression showing z to the power of 2 + 49z + 14
4
A LaTex expression showing (m + 3) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing m to the power of 2 + 6m + 9
b A LaTex expression showing m to the power of 2 + 9m + 6
5
A LaTex expression showing (x + 6) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing x to the power of 2 + 12x + 36
b A LaTex expression showing 12x to the power of 2 - x + 36
6
A LaTex expression showing (b + 4) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing b to the power of 2 - 16b + 8
b A LaTex expression showing b to the power of 2 + 8b + 16
7
A LaTex expression showing (z + 3) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 + 6z + 9
b A LaTex expression showing z to the power of 2 + 6z - 9
Algebraic Functions - Bracketed Terms, Squared (Level 1) - Mobius Math