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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Algebraic Functions - Remove Different Variable From Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing 15py - 21p
a A LaTex expression showing 3p(5y - 7)
b A LaTex expression showing 7(p - y)
c A LaTex expression showing 15y(p - 7)
d A LaTex expression showing 7(p + y)
e A LaTex expression showing 15p(y + 7)
f A LaTex expression showing y(p + 7)
2
Which answer is the same expression as this
A LaTex expression showing 21md + 9m
a A LaTex expression showing d(m + 3)
b A LaTex expression showing 3(m + d)
c A LaTex expression showing 3m(7d + 3)
d A LaTex expression showing 213(m - d)
e A LaTex expression showing 3m(d - 3)
f A LaTex expression showing 3d(m - 3)
3
Which answer is the same expression as this
A LaTex expression showing 6cy - 4c
a A LaTex expression showing 6c(y + 2)
b A LaTex expression showing 2(c - y)
c A LaTex expression showing y(c + 2)
d A LaTex expression showing 2c(3y - 2)
e A LaTex expression showing 6y(c - 2)
f A LaTex expression showing 2(c + y)
4
Which answer is the same expression as this
A LaTex expression showing 8bc - 28b
a A LaTex expression showing 8c(b - 7)
b A LaTex expression showing c(b + 7)
c A LaTex expression showing 7(b - c)
d A LaTex expression showing 8b(c + 7)
e A LaTex expression showing 4b(2c - 7)
f A LaTex expression showing 7(b + c)
5
Which answer is the same expression as this
A LaTex expression showing 35bd - 10b
a A LaTex expression showing d(b + 2)
b A LaTex expression showing 2(b - d)
c A LaTex expression showing 35b(d + 2)
d A LaTex expression showing 35d(b - 2)
e A LaTex expression showing 2(b + d)
f A LaTex expression showing 5b(7d - 2)
6
Which answer is the same expression as this
A LaTex expression showing 9nz + 21n
a A LaTex expression showing 7(n + z)
b A LaTex expression showing 97(n - z)
c A LaTex expression showing 3z(n - 7)
d A LaTex expression showing 3n(3z + 7)
e A LaTex expression showing 3n(z - 7)
f A LaTex expression showing z(n + 7)
7
Which answer is the same expression as this
A LaTex expression showing 15pn + 25p
a A LaTex expression showing 5(p + n)
b A LaTex expression showing 5n(p - 5)
c A LaTex expression showing 5p(n - 5)
d A LaTex expression showing n(p + 5)
e A LaTex expression showing 155(p - n)
f A LaTex expression showing 5p(3n + 5)
8
Which answer is the same expression as this
A LaTex expression showing 24cz + 16c
a A LaTex expression showing z(c + 2)
b A LaTex expression showing 8c(3z + 2)
c A LaTex expression showing 8z(c - 2)
d A LaTex expression showing 2(c + z)
e A LaTex expression showing 242(c - z)
f A LaTex expression showing 8c(z - 2)