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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Algebraic Functions - Different Variable Times Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing x(8c - 7)
a A LaTex expression showing 8xc + 7x
b A LaTex expression showing 8xc - 7x
c A LaTex expression showing 7xc + 7
d A LaTex expression showing xc + x
e A LaTex expression showing 8x to the power of 2 + 7x
f A LaTex expression showing 7c to the power of 2 + 7x
2
Which answer is the same expression as this
A LaTex expression showing 2d(7 - n)
a A LaTex expression showing 14d - 2dn
b A LaTex expression showing 7n - 7d
c A LaTex expression showing 9dn + 7d
d A LaTex expression showing 7d + dn
e A LaTex expression showing 14dn + 7d
f A LaTex expression showing 14dn + 7
3
Which answer is the same expression as this
A LaTex expression showing 9c(8 - x)
a A LaTex expression showing 17cx + 8c
b A LaTex expression showing 8x - 8c
c A LaTex expression showing 72cx + 8c
d A LaTex expression showing 72c - 9cx
e A LaTex expression showing 72cx + 8
f A LaTex expression showing 8c + cx
4
Which answer is the same expression as this
A LaTex expression showing 7z(3 - c)
a A LaTex expression showing 21z - 7zc
b A LaTex expression showing 3z + zc
c A LaTex expression showing 3c - 3z
d A LaTex expression showing 21zc + 3
e A LaTex expression showing 10zc + 3z
f A LaTex expression showing 21zc + 3z
5
Which answer is the same expression as this
A LaTex expression showing 8r(8 - y)
a A LaTex expression showing 16ry + 8r
b A LaTex expression showing 8y - 8r
c A LaTex expression showing 64ry + 8
d A LaTex expression showing 64ry + 8r
e A LaTex expression showing 64r - 8ry
f A LaTex expression showing 8r + ry
6
Which answer is the same expression as this
A LaTex expression showing 9r(2 - z)
a A LaTex expression showing 18rz + 2
b A LaTex expression showing 2z - 2r
c A LaTex expression showing 18r - 9rz
d A LaTex expression showing 11rz + 2r
e A LaTex expression showing 2r + rz
f A LaTex expression showing 18rz + 2r
7
Which answer is the same expression as this
A LaTex expression showing d(2r + 7)
a A LaTex expression showing r to the power of 2 + 7d
b A LaTex expression showing dr + 2d
c A LaTex expression showing 7d to the power of 2 + 7d
d A LaTex expression showing 7dr + 7
e A LaTex expression showing 2dr - 7d
f A LaTex expression showing 2dr + 7d
8
Which answer is the same expression as this
A LaTex expression showing 5c(2 - x)
a A LaTex expression showing 7cx + 2c
b A LaTex expression showing 10cx + 2c
c A LaTex expression showing 2c + cx
d A LaTex expression showing 10c - 5cx
e A LaTex expression showing 10cx + 2
f A LaTex expression showing 2x - 2c