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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

18zd+72d+10z+4018zd + 72d + 10z + 40

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

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Math worksheet on 'Algebraic Functions - Simplify to Bracketed Terms, Different Variables, with Coefficient (Level 2)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
Which answer is the same expression as this
A LaTex expression showing 10rz + 45z - 14r - 63
a A LaTex expression showing (2r + 2)(9z - 9)
b A LaTex expression showing (r - 2)(5z + 9)
c A LaTex expression showing (2r + 9)(5z - 7)
d A LaTex expression showing (2r - 9)(5z + 7)
e A LaTex expression showing (5r + 10)(2z + 9)
f A LaTex expression showing (2r - 9)(5z - 7)
2
Which answer is the same expression as this
A LaTex expression showing 56pd + 21d - 48p - 18
a A LaTex expression showing (8p - 3)(7d - 6)
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 (7p + 56)(8d + 3)
3
Which answer is the same expression as this
A LaTex expression showing 30xy - 42y - 35x + 49
a A LaTex expression showing (5x + 7)(6y - 7)
b A LaTex expression showing (5x - 7)(6y - 7)
c A LaTex expression showing (5x - 7)(6y + 7)
d A LaTex expression showing (6x + 30)(5y - 7)
e A LaTex expression showing (x - 5)(6y - 7)
f A LaTex expression showing (5x + 5)(7y - 7)
4
Which answer is the same expression as this
A LaTex expression showing 36zx + 28x + 81z + 63
a A LaTex expression showing (9z - 7)(4x + 9)
b A LaTex expression showing (9z + 7)(4x - 9)
c A LaTex expression showing (9z + 7)(4x + 9)
d A LaTex expression showing (z - 9)(4x + 7)
e A LaTex expression showing (9z + 9)(7x - 7)
f A LaTex expression showing (9z - 7)(4x - 9)
5
Which answer is the same expression as this
A LaTex expression showing 24np + 15p + 72n + 45
a A LaTex expression showing (8n + 5)(3p - 9)
b A LaTex expression showing (8n + 5)(3p + 9)
c A LaTex expression showing (8n - 5)(3p - 9)
d A LaTex expression showing (8n - 5)(3p + 9)
e A LaTex expression showing (8n + 8)(5p - 5)
f A LaTex expression showing (n - 8)(3p + 5)
6
Which answer is the same expression as this
A LaTex expression showing 9cp - 12p - 9c + 12
a A LaTex expression showing (3c - 4)(3p + 3)
b A LaTex expression showing (3c + 9)(3p - 4)
c A LaTex expression showing (3c + 3)(4p - 4)
d A LaTex expression showing (c - 3)(3p - 4)
e A LaTex expression showing (3c - 4)(3p - 3)
f A LaTex expression showing (3c + 4)(3p - 3)
7
Which answer is the same expression as this
A LaTex expression showing 10mr - 4r - 40m + 16
a A LaTex expression showing (5m + 2)(2r - 8)
b A LaTex expression showing (m - 5)(2r - 2)
c A LaTex expression showing (2m + 10)(5r - 2)
d A LaTex expression showing (5m - 2)(2r + 8)
e A LaTex expression showing (5m - 2)(2r - 8)
f A LaTex expression showing (5m + 5)(2r - 2)