Multiply Bracketed Terms, Different Variables (Middle Terms) (Level 1)

This math topic focuses on practicing algebraic functions, specifically multiplying bracketed terms containing different variables. Students are required to expand expressions where each bracket contains distinct variables and constants. For example, they expand and simplify expressions like \((b+2)(n+7)\), identifying equivalent terms in the expanded form. Each problem presents an expression to expand, followed by multiple choice answers where students must select the correctly expanded and simplified expression. This set of problems is valuable for developing skills in algebraic manipulation and understanding the distribution of terms within binomials.

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 (Middle Terms) Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Different Variables (Middle Terms)
1
Which answer is the same expression as this
A LaTex expression showing (y + 4)(n - 8)
a A LaTex expression showing yn + 8n - 4y - 32
b A LaTex expression showing yn + 4n - 8y - 32
2
Which answer is the same expression as this
A LaTex expression showing (b + 5)(d + 3)
a A LaTex expression showing bd + 5d + 3b + 15
b A LaTex expression showing bd + 3d - 5b + 15
3
Which answer is the same expression as this
A LaTex expression showing (x + 9)(b + 2)
a A LaTex expression showing xb + 18b + 11x + 18
b A LaTex expression showing xb + 9b + 2x + 18
4
Which answer is the same expression as this
A LaTex expression showing (c - 3)(n + 4)
a A LaTex expression showing cn - 4n + 3c - 12
b A LaTex expression showing cn - 3n + 4c - 12
5
Which answer is the same expression as this
A LaTex expression showing (d + 7)(m + 4)
a A LaTex expression showing dm - 7m + 4d + 28
b A LaTex expression showing dm + 7m + 4d + 28
6
Which answer is the same expression as this
A LaTex expression showing (d - 3)(z - 9)
a A LaTex expression showing dz + 9z - 3d + 27
b A LaTex expression showing dz + 3z - 9d + 27
7
Which answer is the same expression as this
A LaTex expression showing (r - 9)(n - 7)
a A LaTex expression showing rn + 7n - 9r + 63
b A LaTex expression showing rn + 9n - 7r + 63
8
Which answer is the same expression as this
A LaTex expression showing (b + 9)(p + 2)
a A LaTex expression showing bp + 9p + 2b + 18
b A LaTex expression showing bp + 2p - 9b + 18