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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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 - 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 b(3n + 9)
a A LaTex expression showing 3bn + 9b
b A LaTex expression showing 9bn + 9
c A LaTex expression showing 9b to the power of 2 + 9b
d A LaTex expression showing n to the power of 2 + 9b
e A LaTex expression showing bn + 3b
f A LaTex expression showing 3bn - 9b
2
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 6yz + 3y
d A LaTex expression showing z to the power of 2 + 3y
e A LaTex expression showing yz + 6y
f A LaTex expression showing 3yz + 3
3
Which answer is the same expression as this
A LaTex expression showing y(6m + 9)
a A LaTex expression showing 6ym + 9y
b A LaTex expression showing ym + 6y
c A LaTex expression showing 6ym - 9y
d A LaTex expression showing 9y to the power of 2 + 9y
e A LaTex expression showing 9ym + 9
f A LaTex expression showing m to the power of 2 + 9y
4
Which answer is the same expression as this
A LaTex expression showing n(5z + 6)
a A LaTex expression showing 5nz - 6n
b A LaTex expression showing 6nz + 6
c A LaTex expression showing 6n to the power of 2 + 6n
d A LaTex expression showing z to the power of 2 + 6n
e A LaTex expression showing nz + 5n
f A LaTex expression showing 5nz + 6n
5
Which answer is the same expression as this
A LaTex expression showing 2n(6 - b)
a A LaTex expression showing 8nb + 6n
b A LaTex expression showing 12n - 2nb
c A LaTex expression showing 6b - 6n
d A LaTex expression showing 12nb + 6n
e A LaTex expression showing 6n + nb
f A LaTex expression showing 12nb + 6
6
Which answer is the same expression as this
A LaTex expression showing c(6z + 7)
a A LaTex expression showing z to the power of 2 + 7c
b A LaTex expression showing 7c to the power of 2 + 7c
c A LaTex expression showing 6cz + 7c
d A LaTex expression showing 7cz + 7
e A LaTex expression showing cz + 6c
f A LaTex expression showing 6cz - 7c
7
Which answer is the same expression as this
A LaTex expression showing 5c(2 - x)
a A LaTex expression showing 2c + cx
b A LaTex expression showing 10cx + 2
c A LaTex expression showing 2x - 2c
d A LaTex expression showing 7cx + 2c
e A LaTex expression showing 10c - 5cx
f A LaTex expression showing 10cx + 2c
Algebraic Functions - Different Variable Times Bracketed Terms (Level 2) - Mobius Math