Multiply Bracketed Terms, Different Variables (First Term) (Level 1)

This math topic focuses on practicing the multiplication of algebraic expressions with bracketed terms that involve different variables. It targets skills in expanding expressions such as \((y - 3)(c + 5)\) or \((b + 4)(x - 6)\), and identifying equivalent forms of these products. Each problem presents an expression in a format such as \((variable1 ± constant) (variable2 ± constant)\) and asks to select the correct expanded form from provided options. By tackling these exercises, students enhance their understanding of distributing across terms and handling algebra with different variables.

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 (First Term) Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Different Variables (First Term)
1
Which answer is the same expression as this
A LaTex expression showing (r + 7)(d + 5)
a A LaTex expression showing rd + 7d + 5r + 35
b A LaTex expression showing 35rd + 7d + 5r + 35
2
Which answer is the same expression as this
A LaTex expression showing (y - 9)(n + 2)
a A LaTex expression showing yn - 9n + 2y - 18
b A LaTex expression showing 11yn - 9n + 2y - 18
3
Which answer is the same expression as this
A LaTex expression showing (b - 3)(m + 6)
a A LaTex expression showing 36bm - 3m + 6b - 18
b A LaTex expression showing bm - 3m + 6b - 18
4
Which answer is the same expression as this
A LaTex expression showing (n - 8)(y - 2)
a A LaTex expression showing 10ny + 8y - 2n + 16
b A LaTex expression showing ny + 8y - 2n + 16
5
Which answer is the same expression as this
A LaTex expression showing (c - 5)(y + 9)
a A LaTex expression showing cy - 5y + 9c - 45
b A LaTex expression showing 90cy - 5y + 9c - 45
6
Which answer is the same expression as this
A LaTex expression showing (m + 2)(n - 8)
a A LaTex expression showing mn + 2n - 8m - 16
b A LaTex expression showing 12mn + 2n - 8m - 16
7
Which answer is the same expression as this
A LaTex expression showing (n - 8)(c + 9)
a A LaTex expression showing nc - 8c + 9n - 72
b A LaTex expression showing 17nc - 8c + 9n - 72
8
Which answer is the same expression as this
A LaTex expression showing (p - 9)(n + 5)
a A LaTex expression showing pn - 9n + 5p - 45
b A LaTex expression showing 90pn - 9n + 5p - 45