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Algebraic Functions - 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.

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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

(4m+5)(c+6)(4m + 5)(c + 6)

Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 3)'. 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 (c + 3)(6n + 6)
a A LaTex expression showing cn + 18n + 6c + 3
b A LaTex expression showing 6cn + 18n + 6c + 3
c A LaTex expression showing 63cn + 3n + 6c + 18
d A LaTex expression showing 6cn + 18n + 6c + 3
e A LaTex expression showing 6cn + 18n + 6c + 18
f A LaTex expression showing 6cn + 6n + 18c + 3
2
Which answer is the same expression as this
A LaTex expression showing (2c + 6)(b + 7)
a A LaTex expression showing cb + 42b + 7c + 6
b A LaTex expression showing 2cb + 42b + 7c + 6
c A LaTex expression showing 2cb + 14b + 7c + 6
d A LaTex expression showing 2cb + 7b + 42c + 6
e A LaTex expression showing 26cb + 6b + 7c + 42
f A LaTex expression showing 2cb + 6b + 14c + 42
3
Which answer is the same expression as this
A LaTex expression showing (n + 4)(6b + 4)
a A LaTex expression showing 6nb + 4b + 16n + 4
b A LaTex expression showing 6nb + 24b + 4n + 16
c A LaTex expression showing 6nb + 16b + 4n + 4
d A LaTex expression showing nb + 16b + 4n + 4
e A LaTex expression showing 64nb + 4b + 4n + 16
f A LaTex expression showing 6nb + 24b + 4n + 4
4
Which answer is the same expression as this
A LaTex expression showing (b + 4)(8c + 8)
a A LaTex expression showing 8bc + 32c + 8b + 4
b A LaTex expression showing 84bc + 4c + 8b + 32
c A LaTex expression showing 8bc + 32c + 8b + 4
d A LaTex expression showing bc + 32c + 8b + 4
e A LaTex expression showing 8bc + 8c + 32b + 4
f A LaTex expression showing 8bc + 32c + 8b + 32
5
Which answer is the same expression as this
A LaTex expression showing (y + 8)(7p + 8)
a A LaTex expression showing 7yp + 56p + 8y + 64
b A LaTex expression showing 7yp + 8p + 64y + 8
c A LaTex expression showing 78yp + 8p + 8y + 64
d A LaTex expression showing 7yp + 56p + 8y + 8
e A LaTex expression showing yp + 64p + 8y + 8
f A LaTex expression showing 7yp + 64p + 8y + 8
6
Which answer is the same expression as this
A LaTex expression showing (9b + 9)(z + 3)
a A LaTex expression showing 9bz + 9z + 27b + 27
b A LaTex expression showing 9bz + 3z + 27b + 9
c A LaTex expression showing 9bz + 27z + 3b + 9
d A LaTex expression showing 9bz + 27z + 3b + 9
e A LaTex expression showing bz + 27z + 3b + 9
f A LaTex expression showing 99bz + 9z + 3b + 27
7
Which answer is the same expression as this
A LaTex expression showing (b + 3)(6y + 3)
a A LaTex expression showing by + 9y + 3b + 3
b A LaTex expression showing 6by + 18y + 3b + 3
c A LaTex expression showing 63by + 3y + 3b + 9
d A LaTex expression showing 6by + 9y + 3b + 3
e A LaTex expression showing 6by + 18y + 3b + 9
f A LaTex expression showing 6by + 3y + 9b + 3