Algebraic Functions - 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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Simplify to Bracketed Terms, Different Variables

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


Which answer is the same expression as this

mz+9z+5m+45mz + 9z + 5m + 45

Algebraic Functions - Simplify to Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Simplify to Bracketed Terms, Different Variables (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing bm + 4m + 4b + 16
a A LaTex expression showing (b + 4)(m + 4)
b A LaTex expression showing (b - 4)(m + 4)
c A LaTex expression showing (b + 4)(m + 8)
d A LaTex expression showing (b + 4)(m - 4)
e A LaTex expression showing (b + 16)(m + 8)
f A LaTex expression showing (b + 16)(m + 4)
2
Which answer is the same expression as this
A LaTex expression showing rc + 6c + 8r + 48
a A LaTex expression showing (r + 48)(c + 14)
b A LaTex expression showing (r + 6)(c + 8)
c A LaTex expression showing (r + 6)(c + 14)
d A LaTex expression showing (r + 6)(c - 8)
e A LaTex expression showing (r - 6)(c + 8)
f A LaTex expression showing (r + 48)(c + 8)
3
Which answer is the same expression as this
A LaTex expression showing mz + 9z + 5m + 45
a A LaTex expression showing (m + 45)(z + 14)
b A LaTex expression showing (m + 9)(z + 5)
c A LaTex expression showing (m + 45)(z + 5)
d A LaTex expression showing (m + 9)(z - 5)
e A LaTex expression showing (m - 9)(z + 5)
f A LaTex expression showing (m + 9)(z + 14)
4
Which answer is the same expression as this
A LaTex expression showing bn + 9n + 4b + 36
a A LaTex expression showing (b + 36)(n + 13)
b A LaTex expression showing (b + 9)(n - 4)
c A LaTex expression showing (b + 36)(n + 4)
d A LaTex expression showing (b + 9)(n + 13)
e A LaTex expression showing (b - 9)(n + 4)
f A LaTex expression showing (b + 9)(n + 4)
5
Which answer is the same expression as this
A LaTex expression showing cz + 7z + 6c + 42
a A LaTex expression showing (c - 7)(z + 6)
b A LaTex expression showing (c + 42)(z + 6)
c A LaTex expression showing (c + 42)(z + 13)
d A LaTex expression showing (c + 7)(z - 6)
e A LaTex expression showing (c + 7)(z + 13)
f A LaTex expression showing (c + 7)(z + 6)
6
Which answer is the same expression as this
A LaTex expression showing xc + 2c + 3x + 6
a A LaTex expression showing (x + 2)(c + 3)
b A LaTex expression showing (x + 2)(c + 5)
c A LaTex expression showing (x + 6)(c + 3)
d A LaTex expression showing (x - 2)(c + 3)
e A LaTex expression showing (x + 6)(c + 5)
f A LaTex expression showing (x + 2)(c - 3)
7
Which answer is the same expression as this
A LaTex expression showing cp + 8p + 4c + 32
a A LaTex expression showing (c - 8)(p + 4)
b A LaTex expression showing (c + 32)(p + 4)
c A LaTex expression showing (c + 32)(p + 12)
d A LaTex expression showing (c + 8)(p - 4)
e A LaTex expression showing (c + 8)(p + 12)
f A LaTex expression showing (c + 8)(p + 4)