Algebraic Functions

Remove Value From Bracketed Terms (Level 2)

This math topic addresses advanced algebraic functions, specifically focusing on the removal of values from bracketed terms. It is a part of the broader unit on polynomials and quadratics. The practice includes problems where an algebraic expression is given and the student needs to identify which out of the multiple options presented is equivalent to the provided expression. The variables used in the expressions are 'r', 'y', 'm', 'n', and 'c', testing understanding across varying contexts.

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 Worksheet

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Algebraic Functions - Remove Value From Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing 35z - 10
a A LaTex expression showing 5(7z - 2)
b A LaTex expression showing (z to the power of {5 } + 10)
c A LaTex expression showing 5(z + 10)
d A LaTex expression showing 2(5z + 10)
e A LaTex expression showing 5(z - 35)
2
Which answer is the same expression as this
A LaTex expression showing 63q - 45
a A LaTex expression showing 9(q + 45)
b A LaTex expression showing 9(7q - 5)
c A LaTex expression showing 5(9q + 5)
d A LaTex expression showing (q to the power of {9 } + 45)
e A LaTex expression showing 9(q + 5)
3
Which answer is the same expression as this
A LaTex expression showing 14q + 6
a A LaTex expression showing (q to the power of {2 } + 6)
b A LaTex expression showing 3(2q + 14)
c A LaTex expression showing 2(q - 3)
d A LaTex expression showing 3(2q + 6)
e A LaTex expression showing 2(7q + 3)
4
Which answer is the same expression as this
A LaTex expression showing 9q + 15
a A LaTex expression showing 3(3q + 5)
b A LaTex expression showing 5(3q - 5)
c A LaTex expression showing 3(q + 15)
d A LaTex expression showing 5(3q + 9)
e A LaTex expression showing 5(3q + 15)
5
Which answer is the same expression as this
A LaTex expression showing 16t + 40
a A LaTex expression showing 8(t + 16)
b A LaTex expression showing 5(8t - 5)
c A LaTex expression showing (t to the power of {8 } + 40)
d A LaTex expression showing 8(2t + 5)
e A LaTex expression showing 8(t + 40)
6
Which answer is the same expression as this
A LaTex expression showing 20q - 8
a A LaTex expression showing 4(5q - 2)
b A LaTex expression showing 2(4q - 20)
c A LaTex expression showing 4(q + 2)
d A LaTex expression showing 2(4q + 8)
e A LaTex expression showing (q to the power of {4 } + 8)
7
Which answer is the same expression as this
A LaTex expression showing 14y - 21
a A LaTex expression showing 7(2y - 3)
b A LaTex expression showing 3(7y + 21)
c A LaTex expression showing 7(y + 3)
d A LaTex expression showing (y to the power of {7 } + 21)
e A LaTex expression showing 3(7y - 14)
8
Which answer is the same expression as this
A LaTex expression showing 9w + 15
a A LaTex expression showing 3(w - 5)
b A LaTex expression showing 5(3w - 5)
c A LaTex expression showing 3(3w + 5)
d A LaTex expression showing 5(3w + 15)
e A LaTex expression showing 3(w + 9)