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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Multiply Bracketed Terms, Different Variables (Middle Terms)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

(x+5)(y7)(x + 5)(y - 7)

?

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 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 (b + 2)(n + 7)
a A LaTex expression showing bn + 2n + 7b + 14
b A LaTex expression showing bn + 7n - 2b + 14
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 (m - 8)(d - 2)
a A LaTex expression showing md + 8d - 2m + 16
b A LaTex expression showing md - 2d + 8m + 16
4
Which answer is the same expression as this
A LaTex expression showing (y + 8)(x - 7)
a A LaTex expression showing yx + 8x - 7y - 56
b A LaTex expression showing yx + 7x - 8y - 56
5
Which answer is the same expression as this
A LaTex expression showing (n + 4)(m + 3)
a A LaTex expression showing nm - 4m + 3n + 12
b A LaTex expression showing nm + 4m + 3n + 12
6
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
7
Which answer is the same expression as this
A LaTex expression showing (r - 6)(b - 5)
a A LaTex expression showing rb - 5b + 6r + 30
b A LaTex expression showing rb + 6b - 5r + 30