Algebraic Functions

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 15wq + 9w
a A LaTex expression showing 3w(q - 3)
b A LaTex expression showing 3w(q + 3)
c A LaTex expression showing 153(w - q)
d A LaTex expression showing 9w(q - 3)
e A LaTex expression showing 3w(5q + 3)
2
Which answer is the same expression as this
A LaTex expression showing 10nr + 6n
a A LaTex expression showing 103(n - r)
b A LaTex expression showing n(r - 3)
c A LaTex expression showing 3n(r + 3)
d A LaTex expression showing 2n(r - 3)
e A LaTex expression showing 2n(5r + 3)
3
Which answer is the same expression as this
A LaTex expression showing 18qx - 30q
a A LaTex expression showing 18q(x + 5)
b A LaTex expression showing 18x(q - 5)
c A LaTex expression showing 5(q - x)
d A LaTex expression showing 5q(x + 5)
e A LaTex expression showing 6q(3x - 5)
4
Which answer is the same expression as this
A LaTex expression showing 35nr + 21n
a A LaTex expression showing 3(n + r)
b A LaTex expression showing r(n + 3)
c A LaTex expression showing 7n(5r + 3)
d A LaTex expression showing 7n(r - 3)
e A LaTex expression showing 7r(n - 3)
5
Which answer is the same expression as this
A LaTex expression showing 45ym - 18y
a A LaTex expression showing 2y(m - 2)
b A LaTex expression showing 45y(m + 2)
c A LaTex expression showing 18y(m - 2)
d A LaTex expression showing m(y + 2)
e A LaTex expression showing 9y(5m - 2)
6
Which answer is the same expression as this
A LaTex expression showing 14nz + 21n
a A LaTex expression showing n(z - 3)
b A LaTex expression showing 143(n - z)
c A LaTex expression showing 7n(2z + 3)
d A LaTex expression showing 3(n + z)
e A LaTex expression showing 7n(z - 3)
7
Which answer is the same expression as this
A LaTex expression showing 18yn - 63y
a A LaTex expression showing 9y(2n - 7)
b A LaTex expression showing 7(y + n)
c A LaTex expression showing n(y + 7)
d A LaTex expression showing 7y(n + 7)
e A LaTex expression showing 18n(y - 7)
8
Which answer is the same expression as this
A LaTex expression showing 20yt + 8y
a A LaTex expression showing 2(y + t)
b A LaTex expression showing 4y(5t + 2)
c A LaTex expression showing 4y(t - 2)
d A LaTex expression showing t(y + 2)
e A LaTex expression showing y(t - 2)