Algebraic Function

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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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

(y6)(3n+3)(y - 6)(3n + 3)

?

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 - 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 (3c - 6)(y - 2)
a A LaTex expression showing cy - 6y - 2c - 12
b A LaTex expression showing 3y - 2c - 12 - cy
c A LaTex expression showing 3cy + 6y - 6c + 12
d A LaTex expression showing 3cy - 6y - 2c - 12
e A LaTex expression showing 3cy + 12y - 2c + 6
f A LaTex expression showing 3cy + 6y + 2c - 12
2
Which answer is the same expression as this
A LaTex expression showing (7x + 6)(p - 7)
a A LaTex expression showing xp - 6p - 7x + 42
b A LaTex expression showing 7xp + 6p - 49x - 42
c A LaTex expression showing 7xp - 6p + 7x - 42
d A LaTex expression showing 7xp - 6p - 7x + 42
e A LaTex expression showing 7p - 7x - 42 - xp
f A LaTex expression showing 7xp + 42p - 7x + 6
3
Which answer is the same expression as this
A LaTex expression showing (7m - 4)(b - 8)
a A LaTex expression showing 7mb - 4b - 8m - 32
b A LaTex expression showing mb - 4b - 8m - 32
c A LaTex expression showing 7mb + 4b + 8m - 32
d A LaTex expression showing 7mb + 32b - 8m + 4
e A LaTex expression showing 7mb + 4b - 56m + 32
f A LaTex expression showing 7b - 8m - 32 - mb
4
Which answer is the same expression as this
A LaTex expression showing (b - 9)(2n + 6)
a A LaTex expression showing 2bn - 18n + 6b - 54
b A LaTex expression showing 2bn + 54n - 6b + 9
c A LaTex expression showing 2bn - 9n - 6b + 54
d A LaTex expression showing 2bn + 9n - 6b - 54
e A LaTex expression showing bn - 9n - 6b + 54
f A LaTex expression showing 2n - 6b - 54 - bn
5
Which answer is the same expression as this
A LaTex expression showing (4z - 8)(m - 5)
a A LaTex expression showing 4m - 5z - 40 - zm
b A LaTex expression showing 4zm + 8m + 5z - 40
c A LaTex expression showing 4zm - 8m - 5z - 40
d A LaTex expression showing 4zm + 8m - 20z + 40
e A LaTex expression showing 4zm + 40m - 5z + 8
f A LaTex expression showing zm - 8m - 5z - 40
6
Which answer is the same expression as this
A LaTex expression showing (r - 7)(8n + 5)
a A LaTex expression showing rn - 7n - 5r + 35
b A LaTex expression showing 8n - 5r - 35 - rn
c A LaTex expression showing 8rn + 35n - 5r + 7
d A LaTex expression showing 8rn - 56n + 5r - 35
e A LaTex expression showing 8rn - 7n - 5r + 35
f A LaTex expression showing 8rn + 7n - 5r - 35
7
Which answer is the same expression as this
A LaTex expression showing (5y - 8)(c - 2)
a A LaTex expression showing 5yc - 8c - 2y - 16
b A LaTex expression showing 5yc + 16c - 2y + 8
c A LaTex expression showing 5yc + 8c - 10y + 16
d A LaTex expression showing 5yc + 8c + 2y - 16
e A LaTex expression showing 5c - 2y - 16 - yc
f A LaTex expression showing yc - 8c - 2y - 16