Simplify to Bracketed Terms, Different Variables (Level 2)

This topic focuses on Algebraic Functions and requires the learner to simplify expressions to bracketed terms with different variables. It's a part of a broader unit on Polynomials and Quadratics at an advanced level. The tasks involve identifying equivalent algebraic expressions, presented as multiple-choice questions, where expressions are in different bracketed terms, and the learner has to find expressions that are the same. Students need to apply their understanding of polynomials, quadratics, and proper manipulation of 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 Worksheet

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Algebraic Functions - Simplify to Bracketed Terms, Different Variables
1
Which answer is the same expression as this
A LaTex expression showing nm + 9m + 8n + 72
a A LaTex expression showing (n + 9)(m + 17)
b A LaTex expression showing (n - 9)(m + 8)
c A LaTex expression showing (n + 9)(m - 8)
d A LaTex expression showing (n + 9)(m + 8)
e A LaTex expression showing (n + 72)(m + 17)
f A LaTex expression showing (n + 72)(m + 8)
2
Which answer is the same expression as this
A LaTex expression showing xz + 3z + 4x + 12
a A LaTex expression showing (x + 12)(z + 4)
b A LaTex expression showing (x + 12)(z + 7)
c A LaTex expression showing (x + 3)(z - 4)
d A LaTex expression showing (x + 3)(z + 4)
e A LaTex expression showing (x + 3)(z + 7)
f A LaTex expression showing (x - 3)(z + 4)
3
Which answer is the same expression as this
A LaTex expression showing dy + 6y + 7d + 42
a A LaTex expression showing (d + 6)(y + 13)
b A LaTex expression showing (d + 6)(y - 7)
c A LaTex expression showing (d + 42)(y + 7)
d A LaTex expression showing (d + 42)(y + 13)
e A LaTex expression showing (d - 6)(y + 7)
f A LaTex expression showing (d + 6)(y + 7)
4
Which answer is the same expression as this
A LaTex expression showing dy + 7y - 7d - 49
a A LaTex expression showing (d - 49)(y + 14)
b A LaTex expression showing (d + 7)(y + 7)
c A LaTex expression showing (d + 49)(y - 7)
d A LaTex expression showing (d + 7)(y - 7)
e A LaTex expression showing (d - 7)(y + 7)
f A LaTex expression showing (d + 7)(y - 14)
5
Which answer is the same expression as this
A LaTex expression showing zr + 7r - 3z - 21
a A LaTex expression showing (z + 7)(r + 3)
b A LaTex expression showing (z - 21)(r + 10)
c A LaTex expression showing (z - 7)(r + 3)
d A LaTex expression showing (z + 21)(r - 3)
e A LaTex expression showing (z + 7)(r - 10)
f A LaTex expression showing (z + 7)(r - 3)
6
Which answer is the same expression as this
A LaTex expression showing bd + 9d - 3b - 27
a A LaTex expression showing (b + 9)(d - 3)
b A LaTex expression showing (b + 9)(d + 3)
c A LaTex expression showing (b - 9)(d + 3)
d A LaTex expression showing (b - 27)(d + 12)
e A LaTex expression showing (b + 9)(d - 12)
f A LaTex expression showing (b + 27)(d - 3)
7
Which answer is the same expression as this
A LaTex expression showing md - 5d - 3m + 15
a A LaTex expression showing (m + 5)(d + 3)
b A LaTex expression showing (m + 5)(d - 3)
c A LaTex expression showing (m - 5)(d + 3)
d A LaTex expression showing (m + 15)(d - 3)
e A LaTex expression showing (m + 5)(d - 8)
f A LaTex expression showing (m - 5)(d - 3)
8
Which answer is the same expression as this
A LaTex expression showing yn + 8n - 3y - 24
a A LaTex expression showing (y + 8)(n - 3)
b A LaTex expression showing (y + 24)(n - 3)
c A LaTex expression showing (y + 8)(n + 3)
d A LaTex expression showing (y - 24)(n + 11)
e A LaTex expression showing (y + 8)(n - 11)
f A LaTex expression showing (y - 8)(n + 3)