Bracketed Terms, Squared (Level 4)

This math topic focuses on advanced algebraic functions, particularly those involving bracketed terms and squares. It further builds expertise in the area of polynomials and quadratics. The topic requires skill in analyzing and simplifying algebraic expressions with single variables and numbers. It provides practice in identifying equivalent expressions for given squaring binomial expressions. The topic contains seven problems for practice. For each problem, learners are provided with six potential answers, of which they need to identify the correct one.

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 (7z - 3) to the power of 2
a A LaTex expression showing 9z to the power of 2 - 42z + 42
b A LaTex expression showing 9z to the power of 2 + 42z + [CALCVALUE3]
c A LaTex expression showing 49z to the power of 2 - 42z - 9
d A LaTex expression showing 49z to the power of 2 + 42z - 9
e A LaTex expression showing z to the power of 2 + 49z + 9
f A LaTex expression showing 42z to the power of 2 - 42z + 9
2
Which answer is the same expression as this
A LaTex expression showing (5c - 4) to the power of 2
a A LaTex expression showing c to the power of 2 + 16c - 40
b A LaTex expression showing 40c to the power of 2 + c + 16
c A LaTex expression showing 16c to the power of 2 - 40c - 16
d A LaTex expression showing 40c to the power of 2 + 40c + 40
e A LaTex expression showing 16c to the power of 2 - 40c + 40
f A LaTex expression showing 40c to the power of 2 - 40c + 16
3
Which answer is the same expression as this
A LaTex expression showing (8d - 9) to the power of 2
a A LaTex expression showing 144d to the power of 2 - 144d + 81
b A LaTex expression showing 64d to the power of 2 + 144d - 81
c A LaTex expression showing d to the power of 2 + 81d + 144
d A LaTex expression showing d to the power of 2 + 64d - 81
e A LaTex expression showing 144d to the power of 2 - 144d - 81
f A LaTex expression showing 144d to the power of 2 + d + 81
4
Which answer is the same expression as this
A LaTex expression showing (7x - 2) to the power of 2
a A LaTex expression showing 28x to the power of 2 + x + 4
b A LaTex expression showing 49x to the power of 2 - 28x + 49
c A LaTex expression showing 49x to the power of 2 + 28x - 4
d A LaTex expression showing 28x to the power of 2 - 28x + 4
e A LaTex expression showing 28x to the power of 2 - 28x + 49
f A LaTex expression showing 28x to the power of 2 + 28x + 28
5
Which answer is the same expression as this
A LaTex expression showing (8d - 3) to the power of 2
a A LaTex expression showing d to the power of 2 - 9d + 48
b A LaTex expression showing 48d to the power of 2 - d + 9
c A LaTex expression showing 9d to the power of 2 - 48d + 48
d A LaTex expression showing 64d to the power of 2 - 48d + 64
e A LaTex expression showing 48d to the power of 2 - 48d + 9
f A LaTex expression showing d to the power of 2 + 64d + 9
6
Which answer is the same expression as this
A LaTex expression showing (8x - 4) to the power of 2
a A LaTex expression showing x to the power of 2 - 16x + 64
b A LaTex expression showing 64x to the power of 2 - x + 16
c A LaTex expression showing x to the power of 2 + 16x - 64
d A LaTex expression showing 64x to the power of 2 - 64x + 16
e A LaTex expression showing 64x to the power of 2 + 64x - 16
f A LaTex expression showing 64x to the power of 2 - 64x - 16
7
Which answer is the same expression as this
A LaTex expression showing (3r - 4) to the power of 2
a A LaTex expression showing 24r to the power of 2 - 24r + 16
b A LaTex expression showing r to the power of 2 + 9r - 16
c A LaTex expression showing r to the power of 2 + 16r - 24
d A LaTex expression showing r to the power of 2 + 16r + 24
e A LaTex expression showing 9r to the power of 2 - 24r - 16
f A LaTex expression showing r to the power of 2 + 9r + 16
8
Which answer is the same expression as this
A LaTex expression showing (4b - 6) to the power of 2
a A LaTex expression showing 36b to the power of 2 + 48b - 36
b A LaTex expression showing b to the power of 2 + 16b + 36
c A LaTex expression showing 36b to the power of 2 - 48b + [CALCVALUE3]
d A LaTex expression showing 36b to the power of 2 - 48b - 36
e A LaTex expression showing 48b to the power of 2 - 48b + 36
f A LaTex expression showing 48b to the power of 2 - 48b + 16