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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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Remove Same Variable From Bracketed Terms

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

24d2+40d24d^2 + 40d

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 8y to the power of 2 + 12y
a A LaTex expression showing 4(y - y)
b A LaTex expression showing 4(4y + y)
c A LaTex expression showing 4y(2y + 3)
d A LaTex expression showing 2y + y
e A LaTex expression showing y(y - 3)
f A LaTex expression showing 2y - y
2
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 7(y + y)
c A LaTex expression showing 2y - y
d A LaTex expression showing 7y(5y - 2)
e A LaTex expression showing 7y + y
f A LaTex expression showing y(y + 2)
3
Which answer is the same expression as this
A LaTex expression showing 35m to the power of 2 + 15m
a A LaTex expression showing m(m - 3)
b A LaTex expression showing 5(m - m)
c A LaTex expression showing 5m(7m + 3)
d A LaTex expression showing 7m - m
e A LaTex expression showing 7m + m
f A LaTex expression showing 5(5m + m)
4
Which answer is the same expression as this
A LaTex expression showing 24b to the power of 2 - 56b
a A LaTex expression showing 7(3b - b)
b A LaTex expression showing 8b(3b - 7)
c A LaTex expression showing 8b + b
d A LaTex expression showing b(b + 7)
e A LaTex expression showing 7b - b
f A LaTex expression showing 8(b + b)
5
Which answer is the same expression as this
A LaTex expression showing 40n to the power of 2 - 24n
a A LaTex expression showing 8n + n
b A LaTex expression showing 3(5n - n)
c A LaTex expression showing 8(n + n)
d A LaTex expression showing 8n(5n - 3)
e A LaTex expression showing n(n + 3)
f A LaTex expression showing 3n - n
6
Which answer is the same expression as this
A LaTex expression showing 15n to the power of 2 + 9n
a A LaTex expression showing 5n - n
b A LaTex expression showing 3n(5n + 3)
c A LaTex expression showing n(n - 3)
d A LaTex expression showing 3(n - n)
e A LaTex expression showing 3(3n + n)
f A LaTex expression showing 5n + n
7
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(m - m)
b A LaTex expression showing 2m - m
c A LaTex expression showing m(m - 5)
d A LaTex expression showing 2m + m
e A LaTex expression showing 2(2m + m)
f A LaTex expression showing 2m(2m + 5)