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Algebraic Functions - 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

(c6)(9x+6)(c - 6)(9x + 6)

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 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (6z + 9)(y - 8)
a A LaTex expression showing 6y - 8z - 72 - zy
b A LaTex expression showing zy - 9y - 8z + 72
c A LaTex expression showing 6zy - 9y + 8z - 72
d A LaTex expression showing 6zy - 9y - 8z + 72
e A LaTex expression showing 6zy + 72y - 8z + 9
f A LaTex expression showing 6zy + 9y - 48z - 72
2
Which answer is the same expression as this
A LaTex expression showing (7m - 4)(b - 8)
a A LaTex expression showing 7mb + 4b - 56m + 32
b A LaTex expression showing 7mb + 4b + 8m - 32
c A LaTex expression showing 7mb + 32b - 8m + 4
d A LaTex expression showing 7b - 8m - 32 - mb
e A LaTex expression showing mb - 4b - 8m - 32
f A LaTex expression showing 7mb - 4b - 8m - 32
3
Which answer is the same expression as this
A LaTex expression showing (3b + 7)(y - 4)
a A LaTex expression showing 3by - 7y + 4b - 28
b A LaTex expression showing 3by + 7y - 12b - 28
c A LaTex expression showing 3by - 7y - 4b + 28
d A LaTex expression showing by - 7y - 4b + 28
e A LaTex expression showing 3by + 28y - 4b + 7
f A LaTex expression showing 3y - 4b - 28 - by
4
Which answer is the same expression as this
A LaTex expression showing (8y - 8)(r - 7)
a A LaTex expression showing 8r - 7y - 56 - yr
b A LaTex expression showing 8yr + 56r - 7y + 8
c A LaTex expression showing 8yr + 8r + 7y - 56
d A LaTex expression showing 8yr + 8r - 56y + 56
e A LaTex expression showing yr - 8r - 7y - 56
f A LaTex expression showing 8yr - 8r - 7y - 56
5
Which answer is the same expression as this
A LaTex expression showing (7x + 6)(p - 7)
a A LaTex expression showing 7xp + 6p - 49x - 42
b A LaTex expression showing 7xp - 6p + 7x - 42
c A LaTex expression showing xp - 6p - 7x + 42
d A LaTex expression showing 7xp + 42p - 7x + 6
e A LaTex expression showing 7xp - 6p - 7x + 42
f A LaTex expression showing 7p - 7x - 42 - xp
6
Which answer is the same expression as this
A LaTex expression showing (y - 6)(3n + 3)
a A LaTex expression showing 3yn - 6n - 3y + 18
b A LaTex expression showing 3yn - 18n + 3y - 18
c A LaTex expression showing 3yn + 6n - 3y - 18
d A LaTex expression showing yn - 6n - 3y + 18
e A LaTex expression showing 3n - 3y - 18 - yn
f A LaTex expression showing 3yn + 18n - 3y + 6
7
Which answer is the same expression as this
A LaTex expression showing (9y + 3)(z - 4)
a A LaTex expression showing 9yz + 12z - 4y + 3
b A LaTex expression showing 9yz + 3z - 36y - 12
c A LaTex expression showing 9yz - 3z - 4y + 12
d A LaTex expression showing yz - 3z - 4y + 12
e A LaTex expression showing 9yz - 3z + 4y - 12
f A LaTex expression showing 9z - 4y - 12 - yz