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.

more
View

Algebraic Functions - Bracketed Terms, Squared Worksheet

Mobius Math Academy logo
Algebraic Functions - Bracketed Terms, Squared
1
A LaTex expression showing (p + 6) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing p to the power of 2 + 36p - 12
b A LaTex expression showing p to the power of 2 + 12p + 36
2
A LaTex expression showing (b + 9) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing 18b to the power of 2 - b + 81
b A LaTex expression showing b to the power of 2 + 18b + 81
3
A LaTex expression showing (r + 4) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing r to the power of 2 - 8r + 16
b A LaTex expression showing r to the power of 2 + 8r + 16
4
A LaTex expression showing (m + 9) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing m to the power of 2 + 18m + 81
b A LaTex expression showing m to the power of 2 + 81m - 18
5
A LaTex expression showing (c + 9) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing 81c to the power of 2 - 18c + 17
b A LaTex expression showing c to the power of 2 + 18c + 81
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 + 8b + 16
b A LaTex expression showing b to the power of 2 - 16b + 8
7
A LaTex expression showing (c + 3) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing c to the power of 2 + 6c + 9
b A LaTex expression showing c to the power of 2 + 9c - 6
8
A LaTex expression showing (r + 7) to the power of 2
Which answer is the same expression as this
a A LaTex expression showing r to the power of 2 + 14r + 49
b A LaTex expression showing 14r to the power of 2 + r + 49