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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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 - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing (4m + 5)(y + 6)
a A LaTex expression showing my + 5y + 6m + 24
b A LaTex expression showing 45my + 5y + 6m + 30
c A LaTex expression showing 4my + 6y + 30m + 5
d A LaTex expression showing 4my + 5y + 24m + 30
e A LaTex expression showing my + 6y + 5m + 30
f A LaTex expression showing 4my + 30y + 6m + 5
2
Which answer is the same expression as this
A LaTex expression showing (x + 8)(4n + 8)
a A LaTex expression showing xn + 8n + 64x + 8
b A LaTex expression showing 4xn + 8n + 64x + 8
c A LaTex expression showing xn + 8n + 8x + 32
d A LaTex expression showing 8xn + 8n + 8x + 64
e A LaTex expression showing 48xn + 8n + 8x + 64
f A LaTex expression showing 4xn + 32n + 8x + 64
3
Which answer is the same expression as this
A LaTex expression showing (2c + 7)(m + 2)
a A LaTex expression showing cm + 2m + 14c + 7
b A LaTex expression showing cm + 2m + 7c + 14
c A LaTex expression showing 2cm + 7m + 4c + 14
d A LaTex expression showing 2cm + 4m + 2c + 7
e A LaTex expression showing cm + 14m + 2c + 7
f A LaTex expression showing cm + 7m + 2c + 4
4
Which answer is the same expression as this
A LaTex expression showing (p + 3)(9b + 3)
a A LaTex expression showing 3pb + 3b + 3p + 27
b A LaTex expression showing pb + 9b + 3p + 3
c A LaTex expression showing 3pb + 3b + 3p + 9
d A LaTex expression showing pb + 3b + 27p + 3
e A LaTex expression showing 9pb + 3b + 9p + 3
f A LaTex expression showing 9pb + 27b + 3p + 9
5
Which answer is the same expression as this
A LaTex expression showing (p + 6)(8r + 5)
a A LaTex expression showing pr + 5r + 48p + 6
b A LaTex expression showing 8pr + 5r + 30p + 6
c A LaTex expression showing pr + 5r + 6p + 30
d A LaTex expression showing 8pr + 48r + 5p + 30
e A LaTex expression showing 8pr + 30r + 5p + 6
f A LaTex expression showing 8pr + 48r + 5p + 6
6
Which answer is the same expression as this
A LaTex expression showing (x + 7)(5y + 3)
a A LaTex expression showing 57xy + 7y + 3x + 21
b A LaTex expression showing xy + 35y + 3x + 7
c A LaTex expression showing xy + 3y + 35x + 7
d A LaTex expression showing xy + 21y + 3x + 7
e A LaTex expression showing 5xy + 35y + 3x + 21
f A LaTex expression showing xy + 3y + 21x + 7
7
Which answer is the same expression as this
A LaTex expression showing (9m + 9)(z + 8)
a A LaTex expression showing 99mz + 9z + 8m + 72
b A LaTex expression showing 9mz + 9z + 8m + 72
c A LaTex expression showing mz + 72z + 8m + 9
d A LaTex expression showing 9mz + 72z + 8m + 9
e A LaTex expression showing mz + 9z + 8m + 72
f A LaTex expression showing 9mz + 9z + 72m + 72