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Algebraic Functions - Different Variable Times Bracketed Terms (Level 2)

This math topic focuses on practicing the expansion and simplification of algebraic expressions involving a variable multiplied by bracketed terms, which is a critical component of polynomials and quadratics at an advanced level. Each question presents an initial expression and multiple choice answers, where the challenge involves selecting the correct simplified or equivalent form of the given expression. The problems typically involve recognizing the distribution of a variable over a sum or difference within parentheses and simplifying to obtain standard polynomial forms. This includes handling positive and negative terms and combining like terms correctly in the process of simplifying expressions.

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

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Different Variable Times 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

m(4n4)m(4n - 4)

Algebraic Functions - Different Variable Times Bracketed Terms Worksheet

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Math worksheet on 'Algebraic Functions - Different Variable Times Bracketed Terms (Level 2)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing c(5r - 8)
a A LaTex expression showing 8cr + 8
b A LaTex expression showing 5cr - 8c
c A LaTex expression showing cr + c
d A LaTex expression showing 8r to the power of 2 + 8c
e A LaTex expression showing 5c to the power of 2 + 8c
f A LaTex expression showing 5cr + 8c
2
Which answer is the same expression as this
A LaTex expression showing b(8m + 7)
a A LaTex expression showing 7bm + 7
b A LaTex expression showing m to the power of 2 + 7b
c A LaTex expression showing bm + 8b
d A LaTex expression showing 8bm - 7b
e A LaTex expression showing 7b to the power of 2 + 7b
f A LaTex expression showing 8bm + 7b
3
Which answer is the same expression as this
A LaTex expression showing y(6z + 3)
a A LaTex expression showing 3y to the power of 2 + 3y
b A LaTex expression showing 6yz - 3y
c A LaTex expression showing z to the power of 2 + 3y
d A LaTex expression showing 3yz + 3
e A LaTex expression showing yz + 6y
f A LaTex expression showing 6yz + 3y
4
Which answer is the same expression as this
A LaTex expression showing 5r(4 - x)
a A LaTex expression showing 4r + rx
b A LaTex expression showing 9rx + 4r
c A LaTex expression showing 20rx + 4r
d A LaTex expression showing 20rx + 4
e A LaTex expression showing 20r - 5rx
f A LaTex expression showing 4x - 4r
5
Which answer is the same expression as this
A LaTex expression showing c(8p + 9)
a A LaTex expression showing 9cp + 9
b A LaTex expression showing 8cp + 9c
c A LaTex expression showing 9c to the power of 2 + 9c
d A LaTex expression showing cp + 8c
e A LaTex expression showing 8cp - 9c
f A LaTex expression showing p to the power of 2 + 9c
6
Which answer is the same expression as this
A LaTex expression showing n(5z + 6)
a A LaTex expression showing nz + 5n
b A LaTex expression showing z to the power of 2 + 6n
c A LaTex expression showing 6n to the power of 2 + 6n
d A LaTex expression showing 5nz - 6n
e A LaTex expression showing 5nz + 6n
f A LaTex expression showing 6nz + 6
7
Which answer is the same expression as this
A LaTex expression showing p(2r - 7)
a A LaTex expression showing 2pr + 7p
b A LaTex expression showing 7pr + 7
c A LaTex expression showing 2pr - 7p
d A LaTex expression showing pr + p
e A LaTex expression showing 2p to the power of 2 + 7p
f A LaTex expression showing 7r to the power of 2 + 7p