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 40c - 24
a A LaTex expression showing 8(5c - 3)
b A LaTex expression showing 8(c + 24)
c A LaTex expression showing 3(8c - 40)
d A LaTex expression showing 3(8c + 3)
e A LaTex expression showing 8(c + 3)
f A LaTex expression showing 8(c - 40)
2
Which answer is the same expression as this
A LaTex expression showing 10r + 15
a A LaTex expression showing 5(r + 15)
b A LaTex expression showing 5(r + 10)
c A LaTex expression showing 5(r - 3)
d A LaTex expression showing 3(5r - 3)
e A LaTex expression showing 3(5r + 10)
f A LaTex expression showing 5(2r + 3)
3
Which answer is the same expression as this
A LaTex expression showing 9r + 21
a A LaTex expression showing 3(3r + 7)
b A LaTex expression showing 7(3r + 9)
c A LaTex expression showing 3(r - 7)
d A LaTex expression showing 7(3r - 7)
e A LaTex expression showing 3(r + 21)
f A LaTex expression showing 3(r + 9)
4
Which answer is the same expression as this
A LaTex expression showing 12x + 30
a A LaTex expression showing 6(x + 30)
b A LaTex expression showing 5(6x + 12)
c A LaTex expression showing 6(x - 5)
d A LaTex expression showing 6(2x + 5)
e A LaTex expression showing 6(x + 12)
f A LaTex expression showing 5(6x - 5)
5
Which answer is the same expression as this
A LaTex expression showing 27d + 45
a A LaTex expression showing 9(d + 45)
b A LaTex expression showing 9(3d + 5)
c A LaTex expression showing 9(d + 27)
d A LaTex expression showing 5(9d - 5)
e A LaTex expression showing 5(9d + 27)
f A LaTex expression showing 9(d - 5)
6
Which answer is the same expression as this
A LaTex expression showing 12r + 42
a A LaTex expression showing 6(r + 42)
b A LaTex expression showing 6(r - 7)
c A LaTex expression showing 7(6r - 7)
d A LaTex expression showing 7(6r + 12)
e A LaTex expression showing 6(r + 12)
f A LaTex expression showing 6(2r + 7)
7
Which answer is the same expression as this
A LaTex expression showing 45p - 27
a A LaTex expression showing 9(p + 3)
b A LaTex expression showing 9(p + 27)
c A LaTex expression showing 3(9p + 3)
d A LaTex expression showing 9(p - 45)
e A LaTex expression showing 3(9p - 45)
f A LaTex expression showing 9(5p - 3)
8
Which answer is the same expression as this
A LaTex expression showing 45m + 27
a A LaTex expression showing 9(m + 27)
b A LaTex expression showing 3(9m + 45)
c A LaTex expression showing 9(5m + 3)
d A LaTex expression showing 9(m - 3)
e A LaTex expression showing 3(9m - 3)
f A LaTex expression showing 9(m + 45)