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 24b to the power of 2 - 56b
a A LaTex expression showing 8b(3b - 7)
b A LaTex expression showing 8(b + b)
c A LaTex expression showing b(b + 7)
d A LaTex expression showing 7b - b
e A LaTex expression showing 7(3b - b)
f A LaTex expression showing 8b + b
2
Which answer is the same expression as this
A LaTex expression showing 15n to the power of 2 + 9n
a A LaTex expression showing n(n - 3)
b A LaTex expression showing 5n + n
c A LaTex expression showing 3(3n + n)
d A LaTex expression showing 3n(5n + 3)
e A LaTex expression showing 5n - n
f A LaTex expression showing 3(n - n)
3
Which answer is the same expression as this
A LaTex expression showing 30y to the power of 2 - 18y
a A LaTex expression showing 6y(5y - 3)
b A LaTex expression showing 3y - y
c A LaTex expression showing y(y + 3)
d A LaTex expression showing 6(y + y)
e A LaTex expression showing 6y + y
f A LaTex expression showing 3(5y - y)
4
Which answer is the same expression as this
A LaTex expression showing 4b to the power of 2 - 6b
a A LaTex expression showing 2b(2b - 3)
b A LaTex expression showing 3(2b - b)
c A LaTex expression showing 3b - b
d A LaTex expression showing b(b + 3)
e A LaTex expression showing 2(b + b)
f A LaTex expression showing 2b + b
5
Which answer is the same expression as this
A LaTex expression showing 35y to the power of 2 - 14y
a A LaTex expression showing 7y + y
b A LaTex expression showing 2y - y
c A LaTex expression showing y(y + 2)
d A LaTex expression showing 7y(5y - 2)
e A LaTex expression showing 2(5y - y)
f A LaTex expression showing 7(y + y)
6
Which answer is the same expression as this
A LaTex expression showing 24d to the power of 2 + 40d
a A LaTex expression showing 3d + d
b A LaTex expression showing 8d(3d + 5)
c A LaTex expression showing 8(8d + d)
d A LaTex expression showing 8(d - d)
e A LaTex expression showing d(d - 5)
f A LaTex expression showing 3d - d
7
Which answer is the same expression as this
A LaTex expression showing 28n to the power of 2 + 20n
a A LaTex expression showing 4(4n + n)
b A LaTex expression showing n(n - 5)
c A LaTex expression showing 4(n - n)
d A LaTex expression showing 7n - n
e A LaTex expression showing 4n(7n + 5)
f A LaTex expression showing 7n + n
8
Which answer is the same expression as this
A LaTex expression showing 20d to the power of 2 - 8d
a A LaTex expression showing 2(5d - d)
b A LaTex expression showing 4(d + d)
c A LaTex expression showing 4d(5d - 2)
d A LaTex expression showing 2d - d
e A LaTex expression showing d(d + 2)
f A LaTex expression showing 4d + d