Remove Different Variable From Bracketed Terms (find GCF) (Level 1)

This math topic focuses on identifying the greatest common factor (GCF) of algebraic expressions. The problems involve expressions with different variables within bracketed terms. Students must discern the GCF from provided answers, enhancing their understanding of polynomials and factoring in algebra. These skills are encapsulated within a broader unit on polynomials and quadratics. Each problem juxtaposes variables and coefficients, challenging students to apply their knowledge of algebraic functions to find the common factor effectively.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Remove Different Variable From Bracketed Terms (find GCF) Worksheet

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Algebraic Functions - Remove Different Variable From Bracketed Terms ...
1
A LaTex expression showing zq - 2z
What is the greatest common factor of these terms?
a A LaTex expression showing 16
b A LaTex expression showing z
2
A LaTex expression showing zp + 7z
What is the greatest common factor of these terms?
a A LaTex expression showing z
b A LaTex expression showing 7
3
A LaTex expression showing px + 8p
What is the greatest common factor of these terms?
a A LaTex expression showing 7
b A LaTex expression showing p
4
A LaTex expression showing tx - 6t
What is the greatest common factor of these terms?
a A LaTex expression showing 6
b A LaTex expression showing t
5
A LaTex expression showing yn + 9y
What is the greatest common factor of these terms?
a A LaTex expression showing y
b A LaTex expression showing 72
6
A LaTex expression showing tx - 5t
What is the greatest common factor of these terms?
a A LaTex expression showing 10
b A LaTex expression showing t
7
A LaTex expression showing pn + 7p
What is the greatest common factor of these terms?
a A LaTex expression showing 56
b A LaTex expression showing p
8
A LaTex expression showing qz + 6q
What is the greatest common factor of these terms?
a A LaTex expression showing q
b A LaTex expression showing 6