Algebraic Functions - Simplify to Bracketed Terms, Different Variables, with Coefficient (Level 1)

This math topic focuses on algebraic functions, specifically on simplifying them to bracketed terms. The different variables come with coefficients. The subject matter forms part of an advanced study on polynomials and quadratics. Students are presented with complex expressions and then provided with options, from which they need to identify the equivalent simplified expression. It includes practicing simplification of expressions involving different variables (such as 'y', 'x', 'c', 'n', 'p', etc.) and coefficients.

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

7mp+28p+4m+167mp + 28p + 4m + 16

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 1)'. 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 21mz + 56z + 12m + 32
a A LaTex expression showing (4m + 3)(8z + 56)
b A LaTex expression showing (m - 3)(7z + 8)
c A LaTex expression showing (3m + 8)(7z + 4)
d A LaTex expression showing (7m + 21)(3z + 56)
e A LaTex expression showing (3m + 3)(8z - 8)
f A LaTex expression showing (7m + 21)(3z + 8)
2
Which answer is the same expression as this
A LaTex expression showing 3mn + 12n + 8m + 32
a A LaTex expression showing (m + 4)(3n + 8)
b A LaTex expression showing (m + 9)(4n + 12)
c A LaTex expression showing (m - 9)(3n + 4)
d A LaTex expression showing (3m + 3)(9n + 12)
e A LaTex expression showing (9m + 9)(4n - 4)
f A LaTex expression showing (3m + 3)(9n + 4)
3
Which answer is the same expression as this
A LaTex expression showing 5py + 20y + 6p + 24
a A LaTex expression showing (p - 7)(5y + 4)
b A LaTex expression showing (5p + 5)(7y + 4)
c A LaTex expression showing (5p + 5)(7y + 20)
d A LaTex expression showing (p + 4)(5y + 6)
e A LaTex expression showing (p + 7)(4y + 20)
f A LaTex expression showing (7p + 7)(4y - 4)
4
Which answer is the same expression as this
A LaTex expression showing 32dc + 40c + 24d + 30
a A LaTex expression showing (4d + 5)(8c + 6)
b A LaTex expression showing (d - 4)(8c + 5)
c A LaTex expression showing (8d + 32)(4c + 40)
d A LaTex expression showing (8d + 32)(4c + 5)
e A LaTex expression showing (4d + 4)(5c - 5)
f A LaTex expression showing (6d + 4)(5c + 40)
5
Which answer is the same expression as this
A LaTex expression showing 45bn + 54n + 40b + 48
a A LaTex expression showing (9b + 45)(5n + 6)
b A LaTex expression showing (5b + 5)(6n - 6)
c A LaTex expression showing (8b + 5)(6n + 54)
d A LaTex expression showing (5b + 6)(9n + 8)
e A LaTex expression showing (9b + 45)(5n + 54)
f A LaTex expression showing (b - 5)(9n + 6)
6
Which answer is the same expression as this
A LaTex expression showing 6nb + 54b + 4n + 36
a A LaTex expression showing (6n + 6)(6b + 9)
b A LaTex expression showing (6n + 6)(9b - 9)
c A LaTex expression showing (n + 9)(6b + 4)
d A LaTex expression showing (6n + 6)(6b + 54)
e A LaTex expression showing (n - 6)(6b + 9)
f A LaTex expression showing (n + 6)(9b + 54)
7
Which answer is the same expression as this
A LaTex expression showing 4dy + 4y + 6d + 6
a A LaTex expression showing (3d + 2)(2y + 4)
b A LaTex expression showing (2d + 2)(2y - 2)
c A LaTex expression showing (2d + 2)(2y + 3)
d A LaTex expression showing (2d + 4)(2y + 4)
e A LaTex expression showing (2d + 4)(2y + 2)
f A LaTex expression showing (d - 2)(2y + 2)