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

42m2+30m42m^2 + 30m

?

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 - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
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 7(3b - b)
d A LaTex expression showing 7b - b
e A LaTex expression showing b(b + 7)
f A LaTex expression showing 8(b + b)
2
Which answer is the same expression as this
A LaTex expression showing 20p to the power of 2 - 28p
a A LaTex expression showing 4(p + p)
b A LaTex expression showing 4p + p
c A LaTex expression showing 4p(5p - 7)
d A LaTex expression showing 7p - p
e A LaTex expression showing 7(5p - p)
f A LaTex expression showing p(p + 7)
3
Which answer is the same expression as this
A LaTex expression showing 20d to the power of 2 + 28d
a A LaTex expression showing d(d - 7)
b A LaTex expression showing 4(4d + d)
c A LaTex expression showing 5d + d
d A LaTex expression showing 4d(5d + 7)
e A LaTex expression showing 5d - d
f A LaTex expression showing 4(d - d)
4
Which answer is the same expression as this
A LaTex expression showing 28n to the power of 2 + 20n
a A LaTex expression showing n(n - 5)
b A LaTex expression showing 4(n - n)
c A LaTex expression showing 7n - n
d A LaTex expression showing 4n(7n + 5)
e A LaTex expression showing 7n + n
f A LaTex expression showing 4(4n + n)
5
Which answer is the same expression as this
A LaTex expression showing 27y to the power of 2 - 63y
a A LaTex expression showing 9(y + y)
b A LaTex expression showing 9y(3y - 7)
c A LaTex expression showing y(y + 7)
d A LaTex expression showing 7y - y
e A LaTex expression showing 9y + y
f A LaTex expression showing 7(3y - y)
6
Which answer is the same expression as this
A LaTex expression showing 27m to the power of 2 + 63m
a A LaTex expression showing 3m + m
b A LaTex expression showing 9(m - m)
c A LaTex expression showing 3m - m
d A LaTex expression showing m(m - 7)
e A LaTex expression showing 9(9m + m)
f A LaTex expression showing 9m(3m + 7)
7
Which answer is the same expression as this
A LaTex expression showing 24m to the power of 2 - 56m
a A LaTex expression showing m(m + 7)
b A LaTex expression showing 8m + m
c A LaTex expression showing 7(3m - m)
d A LaTex expression showing 8(m + m)
e A LaTex expression showing 8m(3m - 7)
f A LaTex expression showing 7m - m