Different Variable Times Bracketed Terms (Level 1)

This math topic focuses on expanding and simplifying algebraic expressions where a variable multiplies a bracketed term. It involves identifying equivalent expressions once the initial terms have been expanded. Each question presents a variable multiplied by a binomial, and students must choose the expression that matches this product among several options. The expressions involve basic operations—addition, subtraction, and multiplication—applied to polynomials, which is foundational knowledge for studying polynomials and quadratics. Additionally, it includes problems that require distributing a variable across terms within parentheses and then simplifying or rearranging.

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 r(y + 9)
a A LaTex expression showing ry + 9
b A LaTex expression showing r to the power of 2 + 9r
c A LaTex expression showing y to the power of 2 + 9r
d A LaTex expression showing ry + 9r
e A LaTex expression showing ry + r
f A LaTex expression showing ry - 9r
2
Which answer is the same expression as this
A LaTex expression showing m(p + 2)
a A LaTex expression showing p to the power of 2 + 2m
b A LaTex expression showing m to the power of 2 + 2m
c A LaTex expression showing mp + 2
d A LaTex expression showing mp + m
e A LaTex expression showing mp - 2m
f A LaTex expression showing mp + 2m
3
Which answer is the same expression as this
A LaTex expression showing r(4 - x)
a A LaTex expression showing 4r + rx
b A LaTex expression showing 4r - rx
c A LaTex expression showing rx + 4r
d A LaTex expression showing rx + r
e A LaTex expression showing 4x - 4r
f A LaTex expression showing rx + 4
4
Which answer is the same expression as this
A LaTex expression showing c(x - 8)
a A LaTex expression showing cx - 8c
b A LaTex expression showing cx + c
c A LaTex expression showing cx + 8c
d A LaTex expression showing cx + 8
e A LaTex expression showing c to the power of 2 + 8c
f A LaTex expression showing x to the power of 2 + 8c
5
Which answer is the same expression as this
A LaTex expression showing n(m + 2)
a A LaTex expression showing nm + 2
b A LaTex expression showing m to the power of 2 + 2n
c A LaTex expression showing nm - 2n
d A LaTex expression showing n to the power of 2 + 2n
e A LaTex expression showing nm + n
f A LaTex expression showing nm + 2n
6
Which answer is the same expression as this
A LaTex expression showing m(7 - y)
a A LaTex expression showing my + 7m
b A LaTex expression showing 7m - my
c A LaTex expression showing 7y - 7m
d A LaTex expression showing my + 7
e A LaTex expression showing 7m + my
f A LaTex expression showing my + m
7
Which answer is the same expression as this
A LaTex expression showing x(4 - c)
a A LaTex expression showing 4c - 4x
b A LaTex expression showing xc + 4x
c A LaTex expression showing xc + x
d A LaTex expression showing xc + 4
e A LaTex expression showing 4x - xc
f A LaTex expression showing 4x + xc
8
Which answer is the same expression as this
A LaTex expression showing p(5 - n)
a A LaTex expression showing pn + p
b A LaTex expression showing 5p - pn
c A LaTex expression showing 5p + pn
d A LaTex expression showing 5n - 5p
e A LaTex expression showing pn + 5p
f A LaTex expression showing pn + 5