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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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Middle Terms) (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 (d - 3)(z - 9)
a A LaTex expression showing dz + 9z - 3d + 27
b A LaTex expression showing dz + 3z - 9d + 27
2
Which answer is the same expression as this
A LaTex expression showing (x + 9)(r - 5)
a A LaTex expression showing xr - 9r + 5x - 45
b A LaTex expression showing xr + 9r - 5x - 45
3
Which answer is the same expression as this
A LaTex expression showing (n + 3)(p + 3)
a A LaTex expression showing np + 3p + 3n + 9
b A LaTex expression showing np + 9p + 6n + 9
4
Which answer is the same expression as this
A LaTex expression showing (n + 3)(m + 3)
a A LaTex expression showing nm + 3m + 3n + 9
b A LaTex expression showing nm - 3m + 3n + 9
5
Which answer is the same expression as this
A LaTex expression showing (r + 5)(p - 9)
a A LaTex expression showing rp + 9p - 5r - 45
b A LaTex expression showing rp + 5p - 9r - 45
6
Which answer is the same expression as this
A LaTex expression showing (b + 2)(n + 7)
a A LaTex expression showing bn + 7n - 2b + 14
b A LaTex expression showing bn + 2n + 7b + 14
7
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