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

This math topic involves practicing the multiplication of algebraic expressions that contain bracketed terms with different variables. The specific skill focused on is expanding binomials (i.e., expressions of the form (a + b)(c + d)), where each term inside the brackets may have different variables, and simplifying them into a single polynomial expression. Each problem presents a multiplication of two binomials and asks students to identify the correct expanded and simplified form from multiple choices.

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 (Last Term) Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Different Variables (Last Term)
1
Which answer is the same expression as this
A LaTex expression showing (x + 6)(p + 3)
a A LaTex expression showing xp + 6p + 3x + 12
b A LaTex expression showing xp + 6p + 3x + 18
2
Which answer is the same expression as this
A LaTex expression showing (b - 9)(x - 6)
a A LaTex expression showing bx - 9x - 6b + 18
b A LaTex expression showing bx - 9x - 6b + 54
3
Which answer is the same expression as this
A LaTex expression showing (b - 5)(c - 4)
a A LaTex expression showing bc - 5c - 4b + 20
b A LaTex expression showing bc - 5c - 4b + 21
4
Which answer is the same expression as this
A LaTex expression showing (d - 6)(c + 2)
a A LaTex expression showing dc - 6c + 2d - 11
b A LaTex expression showing dc - 6c + 2d - 12
5
Which answer is the same expression as this
A LaTex expression showing (n + 7)(m - 8)
a A LaTex expression showing nm + 7m - 8n - 56
b A LaTex expression showing nm + 7m - 8n - 18
6
Which answer is the same expression as this
A LaTex expression showing (x + 2)(n - 7)
a A LaTex expression showing xn + 2n - 7x - 14
b A LaTex expression showing xn + 2n - 7x - 12
7
Which answer is the same expression as this
A LaTex expression showing (b - 3)(c + 6)
a A LaTex expression showing bc - 3c + 6b - 18
b A LaTex expression showing bc - 3c + 6b - 19
8
Which answer is the same expression as this
A LaTex expression showing (p + 9)(c + 4)
a A LaTex expression showing pc + 9c + 4p + 36
b A LaTex expression showing pc + 9c + 4p + 16