Multiply Bracketed Terms, Different Variables (Level 4)

The math topic focuses on multiplying bracketed algebraic expressions involving different variables, a part of advanced polynomials and quadratics. The questions require students to identify equivalent expressions after applying the distributive property (FOIL method) to multiply two binomials. Each question offers multiple answer choices, and learners must select the one that correctly represents the expanded form of the given polynomial.

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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Algebraic Functions - Multiply Bracketed Terms, Different Variables
1
Which answer is the same expression as this
A LaTex expression showing (b - 4)(8y + 3)
a A LaTex expression showing 8y - 3b - 12 - by
b A LaTex expression showing 4y - 3b - 12 - by
c A LaTex expression showing 8by - 4y - 3b + 12
d A LaTex expression showing by + 3y - 4b - 12
e A LaTex expression showing 8by - 32y + 3b - 12
f A LaTex expression showing by - 3y + 12b + 4
2
Which answer is the same expression as this
A LaTex expression showing (3z - 3)(c - 9)
a A LaTex expression showing zc + 3c + 9z - 27
b A LaTex expression showing 9zc + 3c + 9z + 27
c A LaTex expression showing 3zc + 3c + 9z - 27
d A LaTex expression showing zc + 9c + 27z + 3
e A LaTex expression showing 3zc - 3c - 9z - 27
f A LaTex expression showing 3zc + 3c - 27z + 27
3
Which answer is the same expression as this
A LaTex expression showing (4x + 3)(b - 2)
a A LaTex expression showing xb + 2b + 8x + 3
b A LaTex expression showing 3xb + 3b + 2x + 6
c A LaTex expression showing xb - 2b + 6x + 3
d A LaTex expression showing 3b - 2x - 6 - xb
e A LaTex expression showing 4xb + 6b - 2x + 3
f A LaTex expression showing 4xb + 3b - 8x - 6
4
Which answer is the same expression as this
A LaTex expression showing (7y + 3)(x - 4)
a A LaTex expression showing yx - 3x - 4y + 12
b A LaTex expression showing yx + 12x - 4y + 3
c A LaTex expression showing yx - 3x + 4y - 12
d A LaTex expression showing 7yx - 3x + 4y - 12
e A LaTex expression showing 7yx + 3x - 28y - 12
f A LaTex expression showing yx + 3x + 4y - 28
5
Which answer is the same expression as this
A LaTex expression showing (5x - 6)(z - 6)
a A LaTex expression showing 5z - 6x - 36 - xz
b A LaTex expression showing xz + 6z + 6x - 36
c A LaTex expression showing xz + 36z - 6x + 6
d A LaTex expression showing 5xz + 6z - 30x + 36
e A LaTex expression showing xz + 6z + 6x - 30
f A LaTex expression showing xz + 6z - 6x - 36
6
Which answer is the same expression as this
A LaTex expression showing (8d + 5)(m - 3)
a A LaTex expression showing dm - 3m + 15d + 5
b A LaTex expression showing 8dm + 15m - 3d + 5
c A LaTex expression showing dm + 24m - 3d + 5
d A LaTex expression showing 8dm + 5m - 24d - 15
e A LaTex expression showing dm - 5m - 3d + 15
f A LaTex expression showing dm + 3m + 24d + 5
7
Which answer is the same expression as this
A LaTex expression showing (8z - 8)(x - 3)
a A LaTex expression showing 8zx + 8x + 3z - 24
b A LaTex expression showing 8zx + 8x - 3z + 24
c A LaTex expression showing 8x - 3z - 24 - zx
d A LaTex expression showing 3zx + 8x + 3z + 24
e A LaTex expression showing 8zx + 24x - 3z + 8
f A LaTex expression showing 8zx + 8x - 24z + 24
8
Which answer is the same expression as this
A LaTex expression showing (d - 4)(8b + 6)
a A LaTex expression showing 8db - 4b - 6d + 24
b A LaTex expression showing 8db - 32b + 6d - 24
c A LaTex expression showing 4db + 4b - 6d + 32
d A LaTex expression showing 8b - 6d - 24 - db
e A LaTex expression showing db + 4b - 6d - 24
f A LaTex expression showing db + 6b + 32d + 4