Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 3)

This math topic focuses on the multiplication of algebraic functions involving bracketed terms with different variables. It is an advanced exercise within the broader subject areas of polynomials and quadratics. Each question requires expanding and simplifying the product of binomials, which necessitates the correct application of the distributive property (also known as FOIL method for binomials). Students are tasked with matching the expanded form of the expression to multiple choice answers, sharpening their algebraic manipulation skills and understanding of variable interaction in polynomials.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Multiply Bracketed Terms, Different Variables

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


Which answer is the same expression as this

(4b+4)(c+2)(4b + 4)(c + 2)

Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 3)'. Part of a broader unit on 'Polynomials and Quadratics - Intro' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_intro/
1
Which answer is the same expression as this
A LaTex expression showing (8m + 6)(x + 9)
a A LaTex expression showing 8mx + 9x + 54m + 6
b A LaTex expression showing mx + 54x + 9m + 6
c A LaTex expression showing 8mx + 54x + 9m + 6
d A LaTex expression showing 8mx + 6x + 72m + 54
e A LaTex expression showing 86mx + 6x + 9m + 54
f A LaTex expression showing 8mx + 72x + 9m + 6
2
Which answer is the same expression as this
A LaTex expression showing (z + 2)(8x + 7)
a A LaTex expression showing 8zx + 14x + 7z + 2
b A LaTex expression showing 8zx + 16x + 7z + 2
c A LaTex expression showing 8zx + 16x + 7z + 14
d A LaTex expression showing 8zx + 7x + 14z + 2
e A LaTex expression showing zx + 14x + 7z + 2
f A LaTex expression showing 82zx + 2x + 7z + 14
3
Which answer is the same expression as this
A LaTex expression showing (8d + 4)(z + 9)
a A LaTex expression showing 8dz + 9z + 36d + 4
b A LaTex expression showing dz + 36z + 9d + 4
c A LaTex expression showing 8dz + 36z + 9d + 4
d A LaTex expression showing 8dz + 72z + 9d + 4
e A LaTex expression showing 84dz + 4z + 9d + 36
f A LaTex expression showing 8dz + 4z + 72d + 36
4
Which answer is the same expression as this
A LaTex expression showing (y + 4)(5b + 6)
a A LaTex expression showing 54yb + 4b + 6y + 24
b A LaTex expression showing 5yb + 20b + 6y + 24
c A LaTex expression showing 5yb + 6b + 24y + 4
d A LaTex expression showing 5yb + 24b + 6y + 4
e A LaTex expression showing 5yb + 20b + 6y + 4
f A LaTex expression showing yb + 24b + 6y + 4
5
Which answer is the same expression as this
A LaTex expression showing (9d + 5)(c + 9)
a A LaTex expression showing 9dc + 5c + 81d + 45
b A LaTex expression showing 9dc + 9c + 45d + 5
c A LaTex expression showing 9dc + 45c + 9d + 5
d A LaTex expression showing 9dc + 81c + 9d + 5
e A LaTex expression showing dc + 45c + 9d + 5
f A LaTex expression showing 95dc + 5c + 9d + 45
6
Which answer is the same expression as this
A LaTex expression showing (3n + 2)(r + 5)
a A LaTex expression showing nr + 10r + 5n + 2
b A LaTex expression showing 3nr + 10r + 5n + 2
c A LaTex expression showing 32nr + 2r + 5n + 10
d A LaTex expression showing 3nr + 5r + 10n + 2
e A LaTex expression showing 3nr + 15r + 5n + 2
f A LaTex expression showing 3nr + 2r + 15n + 10
7
Which answer is the same expression as this
A LaTex expression showing (p + 8)(9b + 9)
a A LaTex expression showing pb + 72b + 9p + 8
b A LaTex expression showing 98pb + 8b + 9p + 72
c A LaTex expression showing 9pb + 9b + 72p + 8
d A LaTex expression showing 9pb + 72b + 9p + 8
e A LaTex expression showing 9pb + 72b + 9p + 8
f A LaTex expression showing 9pb + 72b + 9p + 72