Simplify to Bracketed Terms, Different Variables, with Coefficient (Level 2)

This math topic is focused on simplifying algebraic functions, specifically solving problems involving simplifying expressions to bracketed terms with different variables along with coefficients. It delves into advanced polynomials and quadratics. The task involves identifying which of the provided multiple choice answers matches the original algebraic expression. Thus, it assists in developing students' ability to simplify and reorganize complex algebraic expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Simplify to Bracketed Terms, Different Variables, with Coefficient Worksheet

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Algebraic Functions - Simplify to Bracketed Terms, Different Variables, with Coefficient
1
Which answer is the same expression as this
A LaTex expression showing 28bx - 14x - 8b + 4
a A LaTex expression showing (4b + 2)(7x - 2)
b A LaTex expression showing (b - 4)(7x - 2)
c A LaTex expression showing (7b + 28)(4x - 2)
d A LaTex expression showing (4b - 2)(7x - 2)
e A LaTex expression showing (4b + 4)(2x - 2)
f A LaTex expression showing (4b - 2)(7x + 2)
2
Which answer is the same expression as this
A LaTex expression showing 56nc - 49c - 40n + 35
a A LaTex expression showing (8n + 7)(7c - 5)
b A LaTex expression showing (7n + 56)(8c - 7)
c A LaTex expression showing (n - 8)(7c - 7)
d A LaTex expression showing (8n - 7)(7c + 5)
e A LaTex expression showing (8n + 8)(7c - 7)
f A LaTex expression showing (8n - 7)(7c - 5)
3
Which answer is the same expression as this
A LaTex expression showing 24dr + 12r + 64d + 32
a A LaTex expression showing (d - 8)(3r + 4)
b A LaTex expression showing (8d + 4)(3r + 8)
c A LaTex expression showing (8d - 4)(3r + 8)
d A LaTex expression showing (8d - 4)(3r - 8)
e A LaTex expression showing (8d + 4)(3r - 8)
f A LaTex expression showing (8d + 8)(4r - 4)
4
Which answer is the same expression as this
A LaTex expression showing 20cm - 25m - 32c + 40
a A LaTex expression showing (4c + 4)(5m - 5)
b A LaTex expression showing (5c + 20)(4m - 5)
c A LaTex expression showing (4c - 5)(5m + 8)
d A LaTex expression showing (4c - 5)(5m - 8)
e A LaTex expression showing (c - 4)(5m - 5)
f A LaTex expression showing (4c + 5)(5m - 8)
5
Which answer is the same expression as this
A LaTex expression showing 16cp + 40p + 6c + 15
a A LaTex expression showing (2c + 5)(8p - 3)
b A LaTex expression showing (2c - 5)(8p + 3)
c A LaTex expression showing (2c - 5)(8p - 3)
d A LaTex expression showing (2c + 2)(5p - 5)
e A LaTex expression showing (c - 2)(8p + 5)
f A LaTex expression showing (2c + 5)(8p + 3)
6
Which answer is the same expression as this
A LaTex expression showing 24np + 54p + 16n + 36
a A LaTex expression showing (4n - 9)(6p - 4)
b A LaTex expression showing (4n + 4)(9p - 9)
c A LaTex expression showing (n - 4)(6p + 9)
d A LaTex expression showing (4n + 9)(6p - 4)
e A LaTex expression showing (4n - 9)(6p + 4)
f A LaTex expression showing (4n + 9)(6p + 4)
7
Which answer is the same expression as this
A LaTex expression showing 56pd + 21d - 48p - 18
a A LaTex expression showing (7p + 56)(8d + 3)
b A LaTex expression showing (8p + 8)(3d - 3)
c A LaTex expression showing (p - 8)(7d + 3)
d A LaTex expression showing (8p + 3)(7d - 6)
e A LaTex expression showing (8p - 3)(7d + 6)
f A LaTex expression showing (8p - 3)(7d - 6)
8
Which answer is the same expression as this
A LaTex expression showing 18zd + 72d + 10z + 40
a A LaTex expression showing (z - 2)(9d + 8)
b A LaTex expression showing (2z + 8)(9d + 5)
c A LaTex expression showing (2z - 8)(9d - 5)
d A LaTex expression showing (2z - 8)(9d + 5)
e A LaTex expression showing (2z + 8)(9d - 5)
f A LaTex expression showing (2z + 2)(8d - 8)