Bracketed Terms, Squared (Level 2)

This math topic focuses on practicing algebraic functions, particularly dealing with squared bracketed terms. It dives into polynomials and quadratics, taking students through different levels of complexity. The problem set involves identifying equivalent expressions of the given function. This function consists of single variables and numbers subtracted from them, which are squared. Each question provides multiple choice answers, requiring the students to solve and compare the expressions to determine the correct answer.

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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Algebraic Functions - Bracketed Terms, Squared
1
Which answer is the same expression as this
A LaTex expression showing (p - 2) to the power of 2
a A LaTex expression showing 4p to the power of 2 + p + 4
b A LaTex expression showing p to the power of 2 + 4p - 4
c A LaTex expression showing 4p to the power of 2 - 4p + 16
d A LaTex expression showing p to the power of 2 - 4p - 4
e A LaTex expression showing p to the power of 2 - 4p + 4
2
Which answer is the same expression as this
A LaTex expression showing (r - 6) to the power of 2
a A LaTex expression showing 36r to the power of 2 - 12r + 20
b A LaTex expression showing r to the power of 2 - 12r + 36
c A LaTex expression showing r to the power of 2 - 12r - 36
d A LaTex expression showing 12r to the power of 2 + r + 36
e A LaTex expression showing 12r to the power of 2 - r + 36
3
Which answer is the same expression as this
A LaTex expression showing (r - 4) to the power of 2
a A LaTex expression showing 16r to the power of 2 - 8r + 12
b A LaTex expression showing r to the power of 2 + 0r + 16
c A LaTex expression showing r to the power of 2 - 8r + 16
d A LaTex expression showing r to the power of 2 - 8r - 16
e A LaTex expression showing 8r to the power of 2 - r + 16
4
Which answer is the same expression as this
A LaTex expression showing (m - 6) to the power of 2
a A LaTex expression showing 12m to the power of 2 - m + 36
b A LaTex expression showing m to the power of 2 + 36m - 12
c A LaTex expression showing m to the power of 2 - 12m + 36
d A LaTex expression showing 12m to the power of 2 + m + 36
e A LaTex expression showing m to the power of 2 - 12m - 36
5
Which answer is the same expression as this
A LaTex expression showing (y - 6) to the power of 2
a A LaTex expression showing y to the power of 2 + 36y + 12
b A LaTex expression showing y to the power of 2 + 12y - 36
c A LaTex expression showing 36y to the power of 2 - 12y + 18
d A LaTex expression showing y to the power of 2 - 12y - 36
e A LaTex expression showing y to the power of 2 - 12y + 36
6
Which answer is the same expression as this
A LaTex expression showing (p - 5) to the power of 2
a A LaTex expression showing 25p to the power of 2 - 10p + 21
b A LaTex expression showing 25p to the power of 2 + 10p + 21
c A LaTex expression showing p to the power of 2 - 10p + 25
d A LaTex expression showing p to the power of 2 + 3p - 25
e A LaTex expression showing 10p to the power of 2 + p + 25
7
Which answer is the same expression as this
A LaTex expression showing (c - 4) to the power of 2
a A LaTex expression showing c to the power of 2 - 8c + 16
b A LaTex expression showing 8c to the power of 2 + c + 16
c A LaTex expression showing c to the power of 2 - 8c - 16
d A LaTex expression showing 16c to the power of 2 + 8c + 20
e A LaTex expression showing c to the power of 2 + 16c - 8
8
Which answer is the same expression as this
A LaTex expression showing (x - 3) to the power of 2
a A LaTex expression showing 6x to the power of 2 + x + 9
b A LaTex expression showing x to the power of 2 + 0x + 9
c A LaTex expression showing x to the power of 2 - 6x - 9
d A LaTex expression showing x to the power of 2 - 6x + 9
e A LaTex expression showing 9x to the power of 2 + 6x + 9