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

This math topic focuses on identifying the greatest common factor (GCF) from algebraic expressions containing polynomial and quadratic functions. Specifically, each problem involves determining the GCF of terms in algebraic expressions that include a variable, showing quadratic forms like \( w^2 - 7w \), \( x^2 - 8x \), and \( q^2 + 7q \), among others. The task is to select the correct GCF from two provided options for each expression, enhancing skills in factorizing and simplifying algebraic terms as part of a broader unit on polynomials and quadratics.

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

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

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Algebraic Functions - Remove Same Variable From Bracketed Terms (find...
1
A LaTex expression showing w to the power of 2 - 7w
What is the greatest common factor of these terms?
a A LaTex expression showing 7
b A LaTex expression showing w
2
A LaTex expression showing x to the power of 2 - 8x
What is the greatest common factor of these terms?
a A LaTex expression showing x
b A LaTex expression showing 56
3
A LaTex expression showing t to the power of 2 - 7t
What is the greatest common factor of these terms?
a A LaTex expression showing t
b A LaTex expression showing 7
4
A LaTex expression showing q to the power of 2 + 7q
What is the greatest common factor of these terms?
a A LaTex expression showing 21
b A LaTex expression showing q
5
A LaTex expression showing r to the power of 2 - 8r
What is the greatest common factor of these terms?
a A LaTex expression showing 8
b A LaTex expression showing r
6
A LaTex expression showing y to the power of 2 - 4y
What is the greatest common factor of these terms?
a A LaTex expression showing y
b A LaTex expression showing 5
7
A LaTex expression showing y to the power of 2 - 5y
What is the greatest common factor of these terms?
a A LaTex expression showing y
b A LaTex expression showing 5
8
A LaTex expression showing y to the power of 2 + 2y
What is the greatest common factor of these terms?
a A LaTex expression showing y
b A LaTex expression showing 5