Simplify to Bracketed Terms, Different Variables (Level 1)

This topic helps learners practice algebraic functions. They will engage with problems that involve simplifying algebraic expressions to bracketed terms with different variables. The tasks are part of a broader unit on polynomials and quadratics. Throughout the activities, learners are challenged to match given expressions to various equivalent forms. The problems use different variables in both the initial expressions and possible answers, encouraging learners to understand and apply the distributive property in algebra.

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 bn + 9n + 4b + 36
a A LaTex expression showing (b + 9)(n + 4)
b A LaTex expression showing (b + 9)(n + 13)
c A LaTex expression showing (b + 36)(n + 13)
d A LaTex expression showing (b + 9)(n - 4)
e A LaTex expression showing (b - 9)(n + 4)
f A LaTex expression showing (b + 36)(n + 4)
2
Which answer is the same expression as this
A LaTex expression showing db + 3b + 6d + 18
a A LaTex expression showing (d + 3)(b - 6)
b A LaTex expression showing (d + 3)(b + 9)
c A LaTex expression showing (d + 3)(b + 6)
d A LaTex expression showing (d - 3)(b + 6)
e A LaTex expression showing (d + 18)(b + 6)
f A LaTex expression showing (d + 18)(b + 9)
3
Which answer is the same expression as this
A LaTex expression showing px + 4x + 7p + 28
a A LaTex expression showing (p - 4)(x + 7)
b A LaTex expression showing (p + 4)(x + 11)
c A LaTex expression showing (p + 28)(x + 11)
d A LaTex expression showing (p + 4)(x - 7)
e A LaTex expression showing (p + 28)(x + 7)
f A LaTex expression showing (p + 4)(x + 7)
4
Which answer is the same expression as this
A LaTex expression showing cb + 5b + 4c + 20
a A LaTex expression showing (c + 5)(b + 9)
b A LaTex expression showing (c + 5)(b + 4)
c A LaTex expression showing (c - 5)(b + 4)
d A LaTex expression showing (c + 20)(b + 9)
e A LaTex expression showing (c + 5)(b - 4)
f A LaTex expression showing (c + 20)(b + 4)
5
Which answer is the same expression as this
A LaTex expression showing dx + 3x + 8d + 24
a A LaTex expression showing (d + 24)(x + 11)
b A LaTex expression showing (d + 3)(x + 11)
c A LaTex expression showing (d - 3)(x + 8)
d A LaTex expression showing (d + 3)(x + 8)
e A LaTex expression showing (d + 3)(x - 8)
f A LaTex expression showing (d + 24)(x + 8)
6
Which answer is the same expression as this
A LaTex expression showing rz + 2z + 8r + 16
a A LaTex expression showing (r + 16)(z + 10)
b A LaTex expression showing (r + 2)(z - 8)
c A LaTex expression showing (r + 2)(z + 10)
d A LaTex expression showing (r - 2)(z + 8)
e A LaTex expression showing (r + 16)(z + 8)
f A LaTex expression showing (r + 2)(z + 8)
7
Which answer is the same expression as this
A LaTex expression showing by + 8y + 8b + 64
a A LaTex expression showing (b + 8)(y + 8)
b A LaTex expression showing (b + 8)(y - 8)
c A LaTex expression showing (b + 64)(y + 16)
d A LaTex expression showing (b - 8)(y + 8)
e A LaTex expression showing (b + 64)(y + 8)
f A LaTex expression showing (b + 8)(y + 16)
8
Which answer is the same expression as this
A LaTex expression showing mr + 7r + 3m + 21
a A LaTex expression showing (m + 7)(r + 3)
b A LaTex expression showing (m + 7)(r + 10)
c A LaTex expression showing (m + 21)(r + 10)
d A LaTex expression showing (m + 21)(r + 3)
e A LaTex expression showing (m - 7)(r + 3)
f A LaTex expression showing (m + 7)(r - 3)