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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Math worksheet on 'Algebraic Functions - Bracketed Terms, Squared (Level 4)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (7r - 6) to the power of 2
a A LaTex expression showing 36r to the power of 2 + 84r - 36
b A LaTex expression showing 84r to the power of 2 + r + 36
c A LaTex expression showing 36r to the power of 2 - 84r + 84
d A LaTex expression showing 84r to the power of 2 - 84r + 36
e A LaTex expression showing 49r to the power of 2 + 84r - 36
f A LaTex expression showing r to the power of 2 + 36r - 84
2
Which answer is the same expression as this
A LaTex expression showing (2n - 8) to the power of 2
a A LaTex expression showing n to the power of 2 + 4n - 64
b A LaTex expression showing 64n to the power of 2 + 32n + [CALCVALUE3]
c A LaTex expression showing 32n to the power of 2 - n + 64
d A LaTex expression showing 64n to the power of 2 + 32n - 64
e A LaTex expression showing 32n to the power of 2 - 32n + 64
f A LaTex expression showing 4n to the power of 2 + 32n - 64
3
Which answer is the same expression as this
A LaTex expression showing (4r - 4) to the power of 2
a A LaTex expression showing 32r to the power of 2 - 32r + 16
b A LaTex expression showing 16r to the power of 2 + 32r + [CALCVALUE3]
c A LaTex expression showing r to the power of 2 + 16r + 16
d A LaTex expression showing 16r to the power of 2 - 32r + [CALCVALUE3]
e A LaTex expression showing 32r to the power of 2 + 32r + 32
f A LaTex expression showing r to the power of 2 + 16r - 32
4
Which answer is the same expression as this
A LaTex expression showing (3d - 2) to the power of 2
a A LaTex expression showing 4d to the power of 2 + 12d - 4
b A LaTex expression showing d to the power of 2 + 4d + 12
c A LaTex expression showing 12d to the power of 2 - 12d + 4
d A LaTex expression showing d to the power of 2 + 4d - 12
e A LaTex expression showing 4d to the power of 2 + 12d + [CALCVALUE3]
f A LaTex expression showing 9d to the power of 2 - 12d - 4
5
Which answer is the same expression as this
A LaTex expression showing (8p - 4) to the power of 2
a A LaTex expression showing 64p to the power of 2 - 64p + 64
b A LaTex expression showing 16p to the power of 2 + 64p - 16
c A LaTex expression showing p to the power of 2 - 16p + 64
d A LaTex expression showing p to the power of 2 + 64p + 16
e A LaTex expression showing 64p to the power of 2 - 64p + 16
f A LaTex expression showing 16p to the power of 2 - 64p + [CALCVALUE3]
6
Which answer is the same expression as this
A LaTex expression showing (9d - 8) to the power of 2
a A LaTex expression showing d to the power of 2 + 81d + 64
b A LaTex expression showing 144d to the power of 2 - 144d + 81
c A LaTex expression showing 144d to the power of 2 - 144d + 64
d A LaTex expression showing 64d to the power of 2 - 144d + [CALCVALUE3]
e A LaTex expression showing 144d to the power of 2 - 144d - 64
f A LaTex expression showing d to the power of 2 + 64d - 144
7
Which answer is the same expression as this
A LaTex expression showing (7x - 2) to the power of 2
a A LaTex expression showing 49x to the power of 2 - 28x + 49
b A LaTex expression showing 28x to the power of 2 - 28x + 4
c A LaTex expression showing 28x to the power of 2 + 28x + 28
d A LaTex expression showing 49x to the power of 2 + 28x - 4
e A LaTex expression showing 28x to the power of 2 + x + 4
f A LaTex expression showing 28x to the power of 2 - 28x + 49
Algebraic Functions - Bracketed Terms, Squared (Level 4) - Mobius Math Academy