Algebraic Functions

Remove Same Variable From Bracketed Terms (Level 1)

This topic focuses on algebraic functions, particularly exploring how to remove the same variable from bracketed terms. It involves recognizing different ways of presenting similar algebraic expressions. Questions ask students to identify equivalent expressions involving operations with variables, which are integral parts of polynomials and advanced quadratics. The topic progresses through increasing difficulty levels to ensure robust understanding of these principles. A required skill involves reconceptualizing expressions involving variables, addition, subtraction, multiplication, and powers.

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 Worksheet

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Algebraic Functions - Remove Same Variable From Bracketed Terms
1
A LaTex expression showing q to the power of 2 - 9q
Which answer is the same expression as this
a A LaTex expression showing q to the power of 2 (q - 9)
b A LaTex expression showing q(q - 9)
2
A LaTex expression showing p to the power of 2 + 4p
Which answer is the same expression as this
a A LaTex expression showing 4(p - p)
b A LaTex expression showing p(p + 4)
3
A LaTex expression showing y to the power of 2 + 9y
Which answer is the same expression as this
a A LaTex expression showing y to the power of 2 (y - 9)
b A LaTex expression showing y(y + 9)
4
A LaTex expression showing p to the power of 2 - 8p
Which answer is the same expression as this
a A LaTex expression showing 8p - p
b A LaTex expression showing p(p - 8)
5
A LaTex expression showing n to the power of 2 - 9n
Which answer is the same expression as this
a A LaTex expression showing 9(n - n)
b A LaTex expression showing n(n - 9)
6
A LaTex expression showing m to the power of 2 + 2m
Which answer is the same expression as this
a A LaTex expression showing 2(m - m)
b A LaTex expression showing m(m + 2)
7
A LaTex expression showing p to the power of 2 - 7p
Which answer is the same expression as this
a A LaTex expression showing p(p - 7)
b A LaTex expression showing 7(p + p)
8
A LaTex expression showing q to the power of 2 + 3q
Which answer is the same expression as this
a A LaTex expression showing q(q + 3)
b A LaTex expression showing q to the power of 2 (q + 3)