Algebraic Functions - 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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Different Variable Times Bracketed Terms

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Which answer is the same expression as this

n(m+2)n(m + 2)

Algebraic Functions - Different Variable Times Bracketed Terms Worksheet

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Math worksheet on 'Algebraic Functions - Different Variable Times Bracketed Terms (Level 1)'. Part of a broader unit on 'Algebra Manipulating Variables - Intro' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_intro/
1
Which answer is the same expression as this
A LaTex expression showing m(p - 6)
a A LaTex expression showing m to the power of 2 + 6m
b A LaTex expression showing mp - 6m
c A LaTex expression showing mp + m
d A LaTex expression showing mp + 6m
e A LaTex expression showing mp + 6
f A LaTex expression showing p to the power of 2 + 6m
2
Which answer is the same expression as this
A LaTex expression showing y(r - 4)
a A LaTex expression showing yr + 4y
b A LaTex expression showing yr - 4y
c A LaTex expression showing yr + y
d A LaTex expression showing r to the power of 2 + 4y
e A LaTex expression showing y to the power of 2 + 4y
f A LaTex expression showing yr + 4
3
Which answer is the same expression as this
A LaTex expression showing z(6 - y)
a A LaTex expression showing 6z + zy
b A LaTex expression showing zy + 6z
c A LaTex expression showing zy + 6
d A LaTex expression showing 6y - 6z
e A LaTex expression showing zy + z
f A LaTex expression showing 6z - zy
4
Which answer is the same expression as this
A LaTex expression showing r(c + 8)
a A LaTex expression showing rc - 8r
b A LaTex expression showing rc + 8r
c A LaTex expression showing rc + r
d A LaTex expression showing r to the power of 2 + 8r
e A LaTex expression showing c to the power of 2 + 8r
f A LaTex expression showing rc + 8
5
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 4x + xc
d A LaTex expression showing 4x - xc
e A LaTex expression showing xc + 4
f A LaTex expression showing xc + x
6
Which answer is the same expression as this
A LaTex expression showing d(2 - p)
a A LaTex expression showing dp + 2d
b A LaTex expression showing dp + 2
c A LaTex expression showing 2d - dp
d A LaTex expression showing dp + d
e A LaTex expression showing 2d + dp
f A LaTex expression showing 2p - 2d
7
Which answer is the same expression as this
A LaTex expression showing p(b - 6)
a A LaTex expression showing b to the power of 2 + 6p
b A LaTex expression showing pb + p
c A LaTex expression showing pb - 6p
d A LaTex expression showing pb + 6
e A LaTex expression showing pb + 6p
f A LaTex expression showing p to the power of 2 + 6p