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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Math worksheet on 'Algebraic Functions - Remove Same 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 24b to the power of 2 - 56b
a A LaTex expression showing 8b + b
b A LaTex expression showing 8b(3b - 7)
c A LaTex expression showing b(b + 7)
d A LaTex expression showing 7(3b - b)
e A LaTex expression showing 8(b + b)
f A LaTex expression showing 7b - b
2
Which answer is the same expression as this
A LaTex expression showing 28d to the power of 2 + 12d
a A LaTex expression showing 7d - d
b A LaTex expression showing 4(d - d)
c A LaTex expression showing 4(4d + d)
d A LaTex expression showing 7d + d
e A LaTex expression showing 4d(7d + 3)
f A LaTex expression showing d(d - 3)
3
Which answer is the same expression as this
A LaTex expression showing 4m to the power of 2 + 10m
a A LaTex expression showing 2(2m + m)
b A LaTex expression showing m(m - 5)
c A LaTex expression showing 2m - m
d A LaTex expression showing 2m(2m + 5)
e A LaTex expression showing 2m + m
f A LaTex expression showing 2(m - m)
4
Which answer is the same expression as this
A LaTex expression showing 24r to the power of 2 - 16r
a A LaTex expression showing 2r - r
b A LaTex expression showing 8r(3r - 2)
c A LaTex expression showing r(r + 2)
d A LaTex expression showing 2(3r - r)
e A LaTex expression showing 8r + r
f A LaTex expression showing 8(r + r)
5
Which answer is the same expression as this
A LaTex expression showing 4m to the power of 2 + 14m
a A LaTex expression showing 2m + m
b A LaTex expression showing 2m - m
c A LaTex expression showing 2(m - m)
d A LaTex expression showing m(m - 7)
e A LaTex expression showing 2m(2m + 7)
f A LaTex expression showing 2(2m + m)
6
Which answer is the same expression as this
A LaTex expression showing 35y to the power of 2 - 14y
a A LaTex expression showing 2(5y - y)
b A LaTex expression showing 7y + y
c A LaTex expression showing 7y(5y - 2)
d A LaTex expression showing y(y + 2)
e A LaTex expression showing 2y - y
f A LaTex expression showing 7(y + y)
7
Which answer is the same expression as this
A LaTex expression showing 4z to the power of 2 + 14z
a A LaTex expression showing 2(z - z)
b A LaTex expression showing 2z - z
c A LaTex expression showing 2z + z
d A LaTex expression showing z(z - 7)
e A LaTex expression showing 2(2z + z)
f A LaTex expression showing 2z(2z + 7)