Algebraic Functions

Remove Value From Bracketed Terms (find GCF) (Level 2)

This math topic focuses on identifying the greatest common factor (GCF) of algebraic expressions, which are presented as combinations of terms including polynomials. This essential algebraic skill is part of a larger unit dealing with polynomials and quadratics, emphasizing the manipulation and simplification of algebraic expressions for better understanding and solving. Students are asked to find the GCF from sets of terms, which helps in factoring polynomials, a critical aspect of algebra that aids in solving higher-degree equations efficiently. The questions present terms with constants and variables, providing a fundamental exercise in algebraic factorization.

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

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

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Algebraic Functions - Remove Value From Bracketed Terms (find GCF)
1
What is the greatest common factor of these terms?
A LaTex expression showing 14n + 49
a A LaTex expression showing 7
b A LaTex expression showing n
c A LaTex expression showing 49
2
What is the greatest common factor of these terms?
A LaTex expression showing 14x + 4
a A LaTex expression showing 4
b A LaTex expression showing 2
c A LaTex expression showing x
3
What is the greatest common factor of these terms?
A LaTex expression showing 20z + 8
a A LaTex expression showing 4
b A LaTex expression showing 8
c A LaTex expression showing z
d A LaTex expression showing 2
4
What is the greatest common factor of these terms?
A LaTex expression showing 18p - 27
a A LaTex expression showing 3
b A LaTex expression showing p
c A LaTex expression showing 9
d A LaTex expression showing 27
5
What is the greatest common factor of these terms?
A LaTex expression showing 35y + 15
a A LaTex expression showing 15
b A LaTex expression showing y
c A LaTex expression showing 5
d A LaTex expression showing 3
6
What is the greatest common factor of these terms?
A LaTex expression showing 45w - 27
a A LaTex expression showing 27
b A LaTex expression showing 3
c A LaTex expression showing 9
d A LaTex expression showing w
7
What is the greatest common factor of these terms?
A LaTex expression showing 18p - 12
a A LaTex expression showing 2
b A LaTex expression showing p
c A LaTex expression showing 6
d A LaTex expression showing 12
8
What is the greatest common factor of these terms?
A LaTex expression showing 12p + 18
a A LaTex expression showing p
b A LaTex expression showing 3
c A LaTex expression showing 18
d A LaTex expression showing 6