Remove Different Variable From Bracketed Terms (find GCF) (Level 2)

This math topic focuses on finding the greatest common factor (GCF) of algebraic expressions containing variables and numerical coefficients. It is structured with a set of problems that each presents terms within which students must identify the GCF. This skill is essential for simplifying algebraic expressions and is part of larger units on polynomials and quadratics. The problems are likely designed to enhance students' understanding of factorization in algebra, particularly in handling variables and coefficients simultaneously.

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
What is the greatest common factor of these terms?
A LaTex expression showing 40qm + 24q
a A LaTex expression showing 40
b A LaTex expression showing q
c A LaTex expression showing 3
d A LaTex expression showing 8q
e A LaTex expression showing 8
2
What is the greatest common factor of these terms?
A LaTex expression showing 42xp + 30x
a A LaTex expression showing 6x
b A LaTex expression showing 5
c A LaTex expression showing 42
d A LaTex expression showing 6
e A LaTex expression showing x
3
What is the greatest common factor of these terms?
A LaTex expression showing 45nx - 27n
a A LaTex expression showing 9n
b A LaTex expression showing n
c A LaTex expression showing 9
d A LaTex expression showing 45
e A LaTex expression showing 3
4
What is the greatest common factor of these terms?
A LaTex expression showing 63nm + 18n
a A LaTex expression showing 9
b A LaTex expression showing 9n
c A LaTex expression showing 2
d A LaTex expression showing n
e A LaTex expression showing 63
5
What is the greatest common factor of these terms?
A LaTex expression showing 30rw - 42r
a A LaTex expression showing 7
b A LaTex expression showing 6
c A LaTex expression showing 6r
d A LaTex expression showing r
e A LaTex expression showing 30
6
What is the greatest common factor of these terms?
A LaTex expression showing 20mr - 28m
a A LaTex expression showing 4m
b A LaTex expression showing m
c A LaTex expression showing 4
d A LaTex expression showing 7
e A LaTex expression showing 20
7
What is the greatest common factor of these terms?
A LaTex expression showing 15zn + 25z
a A LaTex expression showing 5z
b A LaTex expression showing z
c A LaTex expression showing 15
d A LaTex expression showing 5
8
What is the greatest common factor of these terms?
A LaTex expression showing 10nt - 35n
a A LaTex expression showing 7
b A LaTex expression showing 5
c A LaTex expression showing 10
d A LaTex expression showing 5n
e A LaTex expression showing n