Algebraic Function

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(9z6)m(9z - 6)

?

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 'Polynomials and Quadratics - Intro' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_intro/
1
Which answer is the same expression as this
A LaTex expression showing x(9m - 3)
a A LaTex expression showing 9xm + 3x
b A LaTex expression showing 9xm - 3x
c A LaTex expression showing xm + x
d A LaTex expression showing 3m to the power of 2 + 3x
e A LaTex expression showing 3xm + 3
f A LaTex expression showing 9x to the power of 2 + 3x
2
Which answer is the same expression as this
A LaTex expression showing m(4n - 4)
a A LaTex expression showing mn + m
b A LaTex expression showing 4n to the power of 2 + 4m
c A LaTex expression showing 4mn + 4m
d A LaTex expression showing 4mn - 4m
e A LaTex expression showing 4mn + 4
f A LaTex expression showing 4m to the power of 2 + 4m
3
Which answer is the same expression as this
A LaTex expression showing 2n(6 - b)
a A LaTex expression showing 6b - 6n
b A LaTex expression showing 12nb + 6n
c A LaTex expression showing 6n + nb
d A LaTex expression showing 12nb + 6
e A LaTex expression showing 12n - 2nb
f A LaTex expression showing 8nb + 6n
4
Which answer is the same expression as this
A LaTex expression showing 4r(5 - x)
a A LaTex expression showing 5r + rx
b A LaTex expression showing 5x - 5r
c A LaTex expression showing 20r - 4rx
d A LaTex expression showing 20rx + 5
e A LaTex expression showing 9rx + 5r
f A LaTex expression showing 20rx + 5r
5
Which answer is the same expression as this
A LaTex expression showing 5d(8 - n)
a A LaTex expression showing 8d + dn
b A LaTex expression showing 40dn + 8d
c A LaTex expression showing 40dn + 8
d A LaTex expression showing 8n - 8d
e A LaTex expression showing 40d - 5dn
f A LaTex expression showing 13dn + 8d
6
Which answer is the same expression as this
A LaTex expression showing c(6m - 8)
a A LaTex expression showing 6c to the power of 2 + 8c
b A LaTex expression showing 6cm - 8c
c A LaTex expression showing 6cm + 8c
d A LaTex expression showing 8m to the power of 2 + 8c
e A LaTex expression showing 8cm + 8
f A LaTex expression showing cm + c
7
Which answer is the same expression as this
A LaTex expression showing y(6z + 3)
a A LaTex expression showing 6yz - 3y
b A LaTex expression showing yz + 6y
c A LaTex expression showing 3yz + 3
d A LaTex expression showing 6yz + 3y
e A LaTex expression showing 3y to the power of 2 + 3y
f A LaTex expression showing z to the power of 2 + 3y