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.

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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
Which answer is the same expression as this
A LaTex expression showing p to the power of 2 + 9p
a A LaTex expression showing p(p + 9)
b A LaTex expression showing 9p - p
c A LaTex expression showing 9(p - p)
d A LaTex expression showing p(p - 9)
e A LaTex expression showing 9p + p
f A LaTex expression showing 9(p + p)
2
Which answer is the same expression as this
A LaTex expression showing b to the power of 2 + 7b
a A LaTex expression showing 7b - b
b A LaTex expression showing 7(b - b)
c A LaTex expression showing b(b + 7)
d A LaTex expression showing 7b + b
e A LaTex expression showing b(b - 7)
f A LaTex expression showing 7(b + b)
3
Which answer is the same expression as this
A LaTex expression showing c to the power of 2 + 6c
a A LaTex expression showing 6(c - c)
b A LaTex expression showing 6(c + c)
c A LaTex expression showing 6c + c
d A LaTex expression showing c(c + 6)
e A LaTex expression showing c(c - 6)
f A LaTex expression showing 6c - c
4
Which answer is the same expression as this
A LaTex expression showing c to the power of 2 + 3c
a A LaTex expression showing 3(c - c)
b A LaTex expression showing 3(c + c)
c A LaTex expression showing 3c + c
d A LaTex expression showing 3c - c
e A LaTex expression showing c(c - 3)
f A LaTex expression showing c(c + 3)
5
Which answer is the same expression as this
A LaTex expression showing d to the power of 2 + 7d
a A LaTex expression showing d(d + 7)
b A LaTex expression showing 7(d + d)
c A LaTex expression showing 7d - d
d A LaTex expression showing 7d + d
e A LaTex expression showing d(d - 7)
f A LaTex expression showing 7(d - d)
6
Which answer is the same expression as this
A LaTex expression showing n to the power of 2 + 6n
a A LaTex expression showing 6(n + n)
b A LaTex expression showing 6n - n
c A LaTex expression showing 6n + n
d A LaTex expression showing n(n + 6)
e A LaTex expression showing n(n - 6)
f A LaTex expression showing 6(n - n)
7
Which answer is the same expression as this
A LaTex expression showing b to the power of 2 - 2b
a A LaTex expression showing b(b - 2)
b A LaTex expression showing 2b + b
c A LaTex expression showing 2(b + b)
d A LaTex expression showing b(b + 2)
e A LaTex expression showing 2(b - b)
f A LaTex expression showing 2b - b
8
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 + 6x
a A LaTex expression showing 6x - x
b A LaTex expression showing 6x + x
c A LaTex expression showing 6(x + x)
d A LaTex expression showing x(x - 6)
e A LaTex expression showing x(x + 6)
f A LaTex expression showing 6(x - x)