Algebraic Functions

Remove Same Variable From Bracketed Terms (Level 2)

This math topic focuses on algebraic functions, specifically on how to remove the same variable from bracketed terms. It's part of a broader study on advanced polynomials and quadratics. The students are given multiple mathematical expressions involving variables and are then asked to identify which answer among several options represents the same expression. The variables used in the problems vary. The students' understanding of mathematical structures will be reinforced through this activity.

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

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Algebraic Functions - Remove Same Variable From Bracketed Terms Worksheet

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Algebraic Functions - Remove Same Variable From Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing 56x to the power of 2 + 40x
a A LaTex expression showing x to the power of 2 (x - 5)
b A LaTex expression showing 8(x - x)
c A LaTex expression showing 5x - x
d A LaTex expression showing x(x - 5)
e A LaTex expression showing 8x(7x + 5)
2
Which answer is the same expression as this
A LaTex expression showing 6w to the power of 2 - 4w
a A LaTex expression showing 2w(3w - 2)
b A LaTex expression showing 2(3w - w)
c A LaTex expression showing 2(w + w)
d A LaTex expression showing 2w + w
e A LaTex expression showing 3w - w
3
Which answer is the same expression as this
A LaTex expression showing 21x to the power of 2 - 14x
a A LaTex expression showing 3(7x + x)
b A LaTex expression showing 7(x + x)
c A LaTex expression showing 2(3x - x)
d A LaTex expression showing 7x(3x - 2)
e A LaTex expression showing x(x + 3)
4
Which answer is the same expression as this
A LaTex expression showing 16n to the power of 2 + 40n
a A LaTex expression showing 2n + n
b A LaTex expression showing 5(8n - n)
c A LaTex expression showing 8n(2n + 5)
d A LaTex expression showing n(n - 5)
e A LaTex expression showing 2n - n
5
Which answer is the same expression as this
A LaTex expression showing 49m to the power of 2 - 21m
a A LaTex expression showing 7(m + m)
b A LaTex expression showing 7m(7m - 3)
c A LaTex expression showing 3(7m - m)
d A LaTex expression showing 7m + m
e A LaTex expression showing 3m - m
6
Which answer is the same expression as this
A LaTex expression showing 21y to the power of 2 - 35y
a A LaTex expression showing 7y + y
b A LaTex expression showing 3(7y + y)
c A LaTex expression showing 3y + y
d A LaTex expression showing y(y + 3)
e A LaTex expression showing 7y(3y - 5)
7
Which answer is the same expression as this
A LaTex expression showing 40t to the power of 2 - 16t
a A LaTex expression showing 8t to the power of 2 (t + 2)
b A LaTex expression showing 8t + t
c A LaTex expression showing 8t(5t - 2)
d A LaTex expression showing 8(t + t)
e A LaTex expression showing 5(8t - t)
8
Which answer is the same expression as this
A LaTex expression showing 20m to the power of 2 + 28m
a A LaTex expression showing m to the power of 2 (m - 7)
b A LaTex expression showing 5m - m
c A LaTex expression showing 4m(5m + 7)
d A LaTex expression showing 4(4m + m)
e A LaTex expression showing 7m - m