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.

more
View

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

Mobius Math Academy logo
Algebraic Functions - Simplify to Bracketed Terms, Different Variables, with Coefficient
1
Which answer is the same expression as this
A LaTex expression showing 24zx + 28x + 54z + 63
a A LaTex expression showing (4z + 24)(6x + 28)
b A LaTex expression showing (4z + 24)(6x + 7)
c A LaTex expression showing (6z + 7)(4x + 9)
d A LaTex expression showing (z - 6)(4x + 7)
e A LaTex expression showing (9z + 6)(7x + 28)
f A LaTex expression showing (6z + 6)(7x - 7)
2
Which answer is the same expression as this
A LaTex expression showing 6nb + 54b + 4n + 36
a A LaTex expression showing (6n + 6)(9b - 9)
b A LaTex expression showing (6n + 6)(6b + 54)
c A LaTex expression showing (n - 6)(6b + 9)
d A LaTex expression showing (n + 6)(9b + 54)
e A LaTex expression showing (n + 9)(6b + 4)
f A LaTex expression showing (6n + 6)(6b + 9)
3
Which answer is the same expression as this
A LaTex expression showing 6cz + 24z + 6c + 24
a A LaTex expression showing (3c + 2)(8z + 24)
b A LaTex expression showing (3c + 6)(2z + 8)
c A LaTex expression showing (2c + 2)(8z - 8)
d A LaTex expression showing (2c + 8)(3z + 3)
e A LaTex expression showing (3c + 6)(2z + 24)
f A LaTex expression showing (c - 2)(3z + 8)
4
Which answer is the same expression as this
A LaTex expression showing 14nb + 49b + 8n + 28
a A LaTex expression showing (2n + 2)(7b - 7)
b A LaTex expression showing (4n + 2)(7b + 49)
c A LaTex expression showing (7n + 14)(2b + 49)
d A LaTex expression showing (7n + 14)(2b + 7)
e A LaTex expression showing (n - 2)(7b + 7)
f A LaTex expression showing (2n + 7)(7b + 4)
5
Which answer is the same expression as this
A LaTex expression showing 2bx + 12x + 7b + 42
a A LaTex expression showing (b + 5)(6x + 12)
b A LaTex expression showing (5b + 5)(6x - 6)
c A LaTex expression showing (2b + 2)(5x + 6)
d A LaTex expression showing (b - 5)(2x + 6)
e A LaTex expression showing (b + 6)(2x + 7)
f A LaTex expression showing (2b + 2)(5x + 12)
6
Which answer is the same expression as this
A LaTex expression showing 27mc + 54c + 12m + 24
a A LaTex expression showing (3m + 6)(9c + 4)
b A LaTex expression showing (9m + 27)(3c + 54)
c A LaTex expression showing (m - 3)(9c + 6)
d A LaTex expression showing (3m + 3)(6c - 6)
e A LaTex expression showing (9m + 27)(3c + 6)
f A LaTex expression showing (4m + 3)(6c + 54)
7
Which answer is the same expression as this
A LaTex expression showing 6zd + 42d + 8z + 56
a A LaTex expression showing (z - 5)(6d + 7)
b A LaTex expression showing (6z + 6)(5d + 7)
c A LaTex expression showing (6z + 6)(5d + 42)
d A LaTex expression showing (z + 5)(7d + 42)
e A LaTex expression showing (z + 7)(6d + 8)
f A LaTex expression showing (5z + 5)(7d - 7)
8
Which answer is the same expression as this
A LaTex expression showing 4bz + 28z + 7b + 49
a A LaTex expression showing (4b + 4)(7z + 28)
b A LaTex expression showing (7b + 7)(7z - 7)
c A LaTex expression showing (b - 7)(4z + 7)
d A LaTex expression showing (4b + 4)(7z + 7)
e A LaTex expression showing (b + 7)(4z + 7)
f A LaTex expression showing (b + 7)(7z + 28)