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.

more
View

Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

Mobius Math Academy logo
Algebraic Functions - Multiply Bracketed Terms, Different Variables
1
Which answer is the same expression as this
A LaTex expression showing (9m + 9)(z + 8)
a A LaTex expression showing 9mz + 9z + 8m + 72
b A LaTex expression showing 9mz + 72z + 8m + 9
c A LaTex expression showing 99mz + 9z + 8m + 72
d A LaTex expression showing mz + 72z + 8m + 9
e A LaTex expression showing 9mz + 9z + 72m + 72
f A LaTex expression showing mz + 9z + 8m + 72
2
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 3pb + 3b + 3p + 9
c A LaTex expression showing 9pb + 27b + 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 pb + 9b + 3p + 3
3
Which answer is the same expression as this
A LaTex expression showing (5d + 4)(x + 7)
a A LaTex expression showing 4dx + 4x + 7d + 28
b A LaTex expression showing 5dx + 4x + 35d + 28
c A LaTex expression showing 5dx + 35x + 7d + 4
d A LaTex expression showing 7dx + 4x + 7d + 28
e A LaTex expression showing 54dx + 4x + 7d + 28
f A LaTex expression showing dx + 4x + 7d + 35
4
Which answer is the same expression as this
A LaTex expression showing (2r + 5)(x + 4)
a A LaTex expression showing 25rx + 5x + 4r + 20
b A LaTex expression showing 2rx + 5x + 8r + 20
c A LaTex expression showing rx + 20x + 4r + 5
d A LaTex expression showing 5rx + 5x + 4r + 20
e A LaTex expression showing 5rx + 5x + 4r + 8
f A LaTex expression showing rx + 8x + 4r + 5
5
Which answer is the same expression as this
A LaTex expression showing (8r + 8)(z + 9)
a A LaTex expression showing 88rz + 8z + 9r + 72
b A LaTex expression showing 8rz + 72z + 9r + 8
c A LaTex expression showing rz + 9z + 72r + 8
d A LaTex expression showing 8rz + 9z + 72r + 8
e A LaTex expression showing rz + 72z + 9r + 8
f A LaTex expression showing 8rz + 8z + 72r + 72
6
Which answer is the same expression as this
A LaTex expression showing (b + 7)(3r + 9)
a A LaTex expression showing br + 7r + 9b + 21
b A LaTex expression showing 9br + 7r + 9b + 63
c A LaTex expression showing br + 9r + 63b + 7
d A LaTex expression showing 3br + 21r + 9b + 63
e A LaTex expression showing br + 21r + 9b + 7
f A LaTex expression showing br + 9r + 21b + 7
7
Which answer is the same expression as this
A LaTex expression showing (6m + 4)(d + 6)
a A LaTex expression showing md + 4d + 6m + 36
b A LaTex expression showing 6md + 36d + 6m + 4
c A LaTex expression showing 6md + 4d + 36m + 24
d A LaTex expression showing 6md + 6d + 24m + 4
e A LaTex expression showing md + 6d + 4m + 24
f A LaTex expression showing 6md + 24d + 6m + 4
8
Which answer is the same expression as this
A LaTex expression showing (z + 5)(9n + 5)
a A LaTex expression showing zn + 5n + 5z + 45
b A LaTex expression showing 5zn + 5n + 5z + 45
c A LaTex expression showing 9zn + 45n + 5z + 25
d A LaTex expression showing zn + 45n + 5z + 5
e A LaTex expression showing 9zn + 45n + 5z + 5
f A LaTex expression showing 5zn + 5n + 5z + 25