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Algebraic Functions - 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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Bracketed Terms, Squared

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

(2x−9)2(2x - 9)^2

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 (3n - 2) to the power of 2
a A LaTex expression showing 4n to the power of 2 - 12n - 4
b A LaTex expression showing 12n to the power of 2 - 12n + 9
c A LaTex expression showing 4n to the power of 2 - 12n + 12
d A LaTex expression showing 12n to the power of 2 - 12n - 4
e A LaTex expression showing 4n to the power of 2 + 12n - 4
f A LaTex expression showing 12n to the power of 2 - 12n + 4
2
Which answer is the same expression as this
A LaTex expression showing (2x - 9) to the power of 2
a A LaTex expression showing 81x to the power of 2 + 36x - 81
b A LaTex expression showing 81x to the power of 2 - 36x + 36
c A LaTex expression showing 81x to the power of 2 - 36x - 81
d A LaTex expression showing 36x to the power of 2 - 36x + 81
e A LaTex expression showing 36x to the power of 2 - 36x + 4
f A LaTex expression showing 36x to the power of 2 - 36x - 81
3
Which answer is the same expression as this
A LaTex expression showing (7n - 3) to the power of 2
a A LaTex expression showing 42n to the power of 2 - 42n - 9
b A LaTex expression showing 42n to the power of 2 - 42n + 9
c A LaTex expression showing 42n to the power of 2 - 42n + 49
d A LaTex expression showing 9n to the power of 2 + 42n - 9
e A LaTex expression showing 9n to the power of 2 - 42n - 9
f A LaTex expression showing 9n to the power of 2 - 42n + 42
4
Which answer is the same expression as this
A LaTex expression showing (3z - 7) to the power of 2
a A LaTex expression showing 49z to the power of 2 + 42z - 49
b A LaTex expression showing 42z to the power of 2 - 42z + 49
c A LaTex expression showing 49z to the power of 2 - 42z - 49
d A LaTex expression showing 49z to the power of 2 - 42z + 42
e A LaTex expression showing 42z to the power of 2 - 42z + 9
f A LaTex expression showing 42z to the power of 2 - 42z - 49
5
Which answer is the same expression as this
A LaTex expression showing (9b - 7) to the power of 2
a A LaTex expression showing 126b to the power of 2 - 126b + 49
b A LaTex expression showing 49b to the power of 2 + 126b - 49
c A LaTex expression showing 126b to the power of 2 - 126b + 81
d A LaTex expression showing 49b to the power of 2 - 126b - 49
e A LaTex expression showing 49b to the power of 2 - 126b + 126
f A LaTex expression showing 126b to the power of 2 - 126b - 49
6
Which answer is the same expression as this
A LaTex expression showing (2n - 7) to the power of 2
a A LaTex expression showing 28n to the power of 2 - 28n - 49
b A LaTex expression showing 28n to the power of 2 - 28n + 49
c A LaTex expression showing 49n to the power of 2 + 28n - 49
d A LaTex expression showing 49n to the power of 2 - 28n - 49
e A LaTex expression showing 28n to the power of 2 - 28n + 4
f A LaTex expression showing 49n to the power of 2 - 28n + 28
7
Which answer is the same expression as this
A LaTex expression showing (9y - 6) to the power of 2
a A LaTex expression showing 108y to the power of 2 - 108y - 36
b A LaTex expression showing 36y to the power of 2 - 108y - 36
c A LaTex expression showing 108y to the power of 2 - 108y + 36
d A LaTex expression showing 36y to the power of 2 - 108y + 108
e A LaTex expression showing 108y to the power of 2 - 108y + 81
f A LaTex expression showing 36y to the power of 2 + 108y - 36