Multiply Bracketed Terms, Different Variables (Level 2)

This math topic focuses on algebraic functions involving the multiplication of bracketed terms with different variables. Specifically, it practices expanding and simplifying expressions formed by multiplying binomials that include different variables. Each question presents a binomial expression to expand and several options, among which students need to identify the correct simplified form of the expression. This is an introductory component of learning about polynomials and quadratics, enhancing skills in algebraic manipulation and understanding the distributive property.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (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 (p + 3)(z + 7)
a A LaTex expression showing 3pz + 3z + 7p + 21
b A LaTex expression showing pz + 7z + 21p + 3
c A LaTex expression showing 7pz + 3z + 7p + 21
d A LaTex expression showing pz + 3z + 7p + 10
e A LaTex expression showing pz + 3z + 7p + 21
2
Which answer is the same expression as this
A LaTex expression showing (c - 9)(p - 8)
a A LaTex expression showing cp + 8p + 17c + 9
b A LaTex expression showing cp + 8p - 9c - 72
c A LaTex expression showing cp + 9p - 8c + 72
d A LaTex expression showing cp - 9p - 8c - 72
e A LaTex expression showing 9cp + 9p - 8c + 17
3
Which answer is the same expression as this
A LaTex expression showing (n - 5)(r - 9)
a A LaTex expression showing nr - 9r + 45n + 5
b A LaTex expression showing nr + 5r - 9n + 45
c A LaTex expression showing nr - 5r - 9n - 45
d A LaTex expression showing nr + 14r - 9n + 5
e A LaTex expression showing nr + 45r - 9n + 5
4
Which answer is the same expression as this
A LaTex expression showing (m + 5)(d + 7)
a A LaTex expression showing md + 12d + 7m + 5
b A LaTex expression showing md + 5d + 7m + 35
c A LaTex expression showing md + 35d + 7m + 5
d A LaTex expression showing md + 7d + 5m + 35
e A LaTex expression showing 5md + 5d + 7m + 35
5
Which answer is the same expression as this
A LaTex expression showing (c - 4)(z - 2)
a A LaTex expression showing cz + 4z + 2c - 8
b A LaTex expression showing 4cz + 4z + 2c + 8
c A LaTex expression showing cz + 2z + 6c + 4
d A LaTex expression showing 4z - 2c - 8 - cz
e A LaTex expression showing cz + 4z - 2c + 8
6
Which answer is the same expression as this
A LaTex expression showing (x + 6)(y + 6)
a A LaTex expression showing xy + 6y + 36x + 6
b A LaTex expression showing xy + 6y + 6x + 12
c A LaTex expression showing 6xy + 6y + 6x + 12
d A LaTex expression showing xy + 6y + 6x + 36
e A LaTex expression showing xy + 12y + 6x + 6
7
Which answer is the same expression as this
A LaTex expression showing (d - 7)(r + 3)
a A LaTex expression showing dr + 7r + 3d - 10
b A LaTex expression showing 7r - 3d - 21 - dr
c A LaTex expression showing dr - 7r - 3d + 21
d A LaTex expression showing 3dr + 7r + 3d + 21
e A LaTex expression showing dr - 7r + 3d - 21