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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Algebraic Functions - Multiply Bracketed Terms, Different Variables
1
Which answer is the same expression as this
A LaTex expression showing (c + 7)(d + 5)
a A LaTex expression showing cd + 5d + 7c + 35
b A LaTex expression showing cd + 35d + 5c + 7
c A LaTex expression showing cd + 7d + 5c + 35
d A LaTex expression showing cd + 12d + 5c + 7
e A LaTex expression showing cd + 5d + 12c + 7
2
Which answer is the same expression as this
A LaTex expression showing (b - 9)(c + 7)
a A LaTex expression showing bc + 9c + 7b - 16
b A LaTex expression showing bc + 16c - 7b + 9
c A LaTex expression showing bc + 7c + 16b + 9
d A LaTex expression showing 9bc + 9c - 7b + 16
e A LaTex expression showing bc - 9c + 7b - 63
3
Which answer is the same expression as this
A LaTex expression showing (z - 2)(y - 3)
a A LaTex expression showing 3zy + 2y + 3z + 6
b A LaTex expression showing zy + 2y - 3z + 6
c A LaTex expression showing zy + 2y + 3z - 5
d A LaTex expression showing 2zy + 2y + 3z + 6
e A LaTex expression showing zy - 3y + 6z + 2
4
Which answer is the same expression as this
A LaTex expression showing (z - 3)(y - 9)
a A LaTex expression showing 3zy + 3y - 9z + 12
b A LaTex expression showing zy + 3y + 9z - 12
c A LaTex expression showing zy + 27y - 9z + 3
d A LaTex expression showing zy + 3y - 9z + 27
e A LaTex expression showing zy + 12y - 9z + 3
5
Which answer is the same expression as this
A LaTex expression showing (b + 8)(c - 7)
a A LaTex expression showing 8bc + 8c - 7b + 15
b A LaTex expression showing bc + 8c + 7b - 15
c A LaTex expression showing bc - 8c - 7b + 56
d A LaTex expression showing bc - 7c + 56b + 8
e A LaTex expression showing bc + 8c - 7b - 56
6
Which answer is the same expression as this
A LaTex expression showing (b - 6)(n + 9)
a A LaTex expression showing bn - 6n - 9b + 54
b A LaTex expression showing 9bn + 6n + 9b + 54
c A LaTex expression showing 6bn + 6n - 9b + 15
d A LaTex expression showing bn - 6n + 9b - 54
e A LaTex expression showing bn + 9n - 6b - 54
7
Which answer is the same expression as this
A LaTex expression showing (m + 5)(d + 7)
a A LaTex expression showing md + 5d + 7m + 35
b A LaTex expression showing 5md + 5d + 7m + 35
c A LaTex expression showing md + 35d + 7m + 5
d A LaTex expression showing md + 12d + 7m + 5
e A LaTex expression showing md + 7d + 5m + 35
8
Which answer is the same expression as this
A LaTex expression showing (n - 6)(z + 8)
a A LaTex expression showing nz + 8z + 14n + 6
b A LaTex expression showing nz + 6z + 8n - 14
c A LaTex expression showing nz - 8z + 48n + 6
d A LaTex expression showing nz + 6z - 8n - 48
e A LaTex expression showing nz - 6z + 8n - 48