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 Manipulating Variables - Intro' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_intro/
1
Which answer is the same expression as this
A LaTex expression showing (y - 3)(d + 3)
a A LaTex expression showing yd - 3d + 3y - 10
b A LaTex expression showing yd - 3d + 3y - 9
2
Which answer is the same expression as this
A LaTex expression showing (n - 9)(d + 3)
a A LaTex expression showing nd - 9d + 3n - 21
b A LaTex expression showing nd - 9d + 3n - 27
3
Which answer is the same expression as this
A LaTex expression showing (r - 8)(x + 8)
a A LaTex expression showing rx - 8x + 8r - 64
b A LaTex expression showing rx - 8x + 8r - 19
4
Which answer is the same expression as this
A LaTex expression showing (n - 3)(d - 7)
a A LaTex expression showing nd + 3d - 7n + 22
b A LaTex expression showing nd + 3d - 7n + 21
5
Which answer is the same expression as this
A LaTex expression showing (p + 7)(b + 3)
a A LaTex expression showing pb + 7b + 3p + 13
b A LaTex expression showing pb + 7b + 3p + 21
6
Which answer is the same expression as this
A LaTex expression showing (m + 3)(p + 7)
a A LaTex expression showing mp + 3p + 7m + 21
b A LaTex expression showing mp + 3p + 7m + 13
7
Which answer is the same expression as this
A LaTex expression showing (x - 4)(c - 7)
a A LaTex expression showing xc + 4c - 7x + 29
b A LaTex expression showing xc + 4c - 7x + 28
Algebraic Functions - Multiply Bracketed Terms, Different Variables (Last Term) (Level 1) - Mobius Math