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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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 4)'. 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 (x - 3)(8b + 3)
a A LaTex expression showing 8xb + 9b - 3x + 3
b A LaTex expression showing 8xb - 24b + 3x - 9
c A LaTex expression showing 8xb - 3b - 3x + 9
d A LaTex expression showing 8b - 3x - 9 - xb
e A LaTex expression showing xb + 3b - 3x - 9
f A LaTex expression showing xb + 24b - 3x + 3
2
Which answer is the same expression as this
A LaTex expression showing (3r - 3)(z - 4)
a A LaTex expression showing rz + 3z + 4r - 12
b A LaTex expression showing 3rz + 12z - 4r + 3
c A LaTex expression showing rz + 12z - 4r + 3
d A LaTex expression showing 3rz + 3z - 12r + 12
e A LaTex expression showing rz + 4z + 12r + 3
f A LaTex expression showing 3rz + 3z + 4r + 12
3
Which answer is the same expression as this
A LaTex expression showing (5x - 6)(z - 6)
a A LaTex expression showing 5xz + 6z - 30x + 36
b A LaTex expression showing xz + 6z + 6x - 30
c A LaTex expression showing xz + 36z - 6x + 6
d A LaTex expression showing xz + 6z + 6x - 36
e A LaTex expression showing 5z - 6x - 36 - xz
f A LaTex expression showing xz + 6z - 6x - 36
4
Which answer is the same expression as this
A LaTex expression showing (9b - 9)(m - 6)
a A LaTex expression showing 9bm + 9m - 54b + 54
b A LaTex expression showing 9bm + 9m + 6b + 54
c A LaTex expression showing bm - 9m - 6b - 54
d A LaTex expression showing bm + 9m + 6b - 54
e A LaTex expression showing bm - 6m + 54b + 9
f A LaTex expression showing 9bm - 9m - 6b - 54
5
Which answer is the same expression as this
A LaTex expression showing (c - 4)(6m + 2)
a A LaTex expression showing 6cm + 4m - 2c - 8
b A LaTex expression showing 6cm - 24m + 2c - 8
c A LaTex expression showing cm + 2m + 24c + 4
d A LaTex expression showing 6cm + 8m - 2c + 4
e A LaTex expression showing cm - 4m - 2c + 8
f A LaTex expression showing 2cm + 4m + 2c + 8
6
Which answer is the same expression as this
A LaTex expression showing (n - 9)(9r + 7)
a A LaTex expression showing 9nr - 9r - 7n + 63
b A LaTex expression showing nr - 7r + 63n + 9
c A LaTex expression showing 9nr - 81r + 7n - 63
d A LaTex expression showing nr + 7r - 9n - 63
e A LaTex expression showing nr + 9r - 7n - 63
f A LaTex expression showing 9nr + 9r - 7n - 63
7
Which answer is the same expression as this
A LaTex expression showing (9y + 9)(m - 6)
a A LaTex expression showing ym + 9m + 6y - 54
b A LaTex expression showing ym + 54m - 6y + 9
c A LaTex expression showing 9ym + 9m - 54y - 54
d A LaTex expression showing ym + 6m + 54y + 9
e A LaTex expression showing 9ym + 9m - 6y + 54
f A LaTex expression showing 9ym + 54m - 6y + 9