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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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Last Term) (Level 1)'. Part of a broader unit on 'Algebra Basic Concepts - Practice' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_practice/
1
Which answer is the same expression as this
A LaTex expression showing (d - 9)(z - 6)
a A LaTex expression showing dz - 9z - 6d + 54
b A LaTex expression showing dz - 9z - 6d + 18
2
Which answer is the same expression as this
A LaTex expression showing (d + 5)(r + 5)
a A LaTex expression showing dr + 5r + 5d + 25
b A LaTex expression showing dr + 5r + 5d + 15
3
Which answer is the same expression as this
A LaTex expression showing (y + 8)(d + 2)
a A LaTex expression showing yd + 8d + 2y + 16
b A LaTex expression showing yd + 8d + 2y + 17
4
Which answer is the same expression as this
A LaTex expression showing (c + 3)(b + 4)
a A LaTex expression showing cb + 3b + 4c + 10
b A LaTex expression showing cb + 3b + 4c + 12
5
Which answer is the same expression as this
A LaTex expression showing (p - 7)(z - 8)
a A LaTex expression showing pz - 7z - 8p + 18
b A LaTex expression showing pz - 7z - 8p + 56
6
Which answer is the same expression as this
A LaTex expression showing (c + 4)(r + 8)
a A LaTex expression showing cr + 4r + 8c + 15
b A LaTex expression showing cr + 4r + 8c + 32
7
Which answer is the same expression as this
A LaTex expression showing (r - 5)(p - 2)
a A LaTex expression showing rp - 5p - 2r + 10
b A LaTex expression showing rp - 5p - 2r + 12