Remove Different Variable From Bracketed Terms (Level 2)

This math topic centers around advanced algebraic functions, specifically focusing on removing different variables from bracketed terms. It's part of a larger unit on polynomials and quadratics. The study material includes a set of problems where the aim is to identify an equivalent expression from multiple choices that match the given algebraic function. Each problem presents unique function with different variables, demonstrating and teaching various applications of bracket manipulation in algebra.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Remove Different Variable From Bracketed Terms Worksheet

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Math worksheet on 'Algebraic Functions - Remove Different Variable From Bracketed Terms (Level 2)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing 35bd - 10b
a A LaTex expression showing 2(b + d)
b A LaTex expression showing 5b(7d - 2)
c A LaTex expression showing 2(b - d)
d A LaTex expression showing 35d(b - 2)
e A LaTex expression showing 35b(d + 2)
f A LaTex expression showing d(b + 2)
2
Which answer is the same expression as this
A LaTex expression showing 49yx + 14y
a A LaTex expression showing 2(y + x)
b A LaTex expression showing 7y(7x + 2)
c A LaTex expression showing x(y + 2)
d A LaTex expression showing 7y(x - 2)
e A LaTex expression showing 7x(y - 2)
f A LaTex expression showing 492(y - x)
3
Which answer is the same expression as this
A LaTex expression showing 12bz - 8b
a A LaTex expression showing 12b(z + 2)
b A LaTex expression showing 2(b + z)
c A LaTex expression showing 4b(3z - 2)
d A LaTex expression showing 12z(b - 2)
e A LaTex expression showing 2(b - z)
f A LaTex expression showing z(b + 2)
4
Which answer is the same expression as this
A LaTex expression showing 14bz + 21b
a A LaTex expression showing 3(b + z)
b A LaTex expression showing 7z(b - 3)
c A LaTex expression showing z(b + 3)
d A LaTex expression showing 7b(2z + 3)
e A LaTex expression showing 7b(z - 3)
f A LaTex expression showing 143(b - z)
5
Which answer is the same expression as this
A LaTex expression showing 8bc - 28b
a A LaTex expression showing c(b + 7)
b A LaTex expression showing 4b(2c - 7)
c A LaTex expression showing 8c(b - 7)
d A LaTex expression showing 8b(c + 7)
e A LaTex expression showing 7(b + c)
f A LaTex expression showing 7(b - c)
6
Which answer is the same expression as this
A LaTex expression showing 27zp + 45z
a A LaTex expression showing 9z(p - 5)
b A LaTex expression showing 275(z - p)
c A LaTex expression showing 9z(3p + 5)
d A LaTex expression showing 5(z + p)
e A LaTex expression showing 9p(z - 5)
f A LaTex expression showing p(z + 5)
7
Which answer is the same expression as this
A LaTex expression showing 40nd - 56n
a A LaTex expression showing 7(n + d)
b A LaTex expression showing d(n + 7)
c A LaTex expression showing 7(n - d)
d A LaTex expression showing 40d(n - 7)
e A LaTex expression showing 40n(d + 7)
f A LaTex expression showing 8n(5d - 7)