Same Variable Times Bracketed Terms (Level 2)

This topic focuses on algebraic functions and involves problems that require working with the same variable times bracketed terms. The students will need to identify equivalent expressions, specifically within the broader context of polynomials and quadratic functions. The tasks promote advanced understanding and manipulation of algebraic expressions.

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

more
View

Algebraic Functions - Same Variable Times Bracketed Terms Worksheet

Mobius Math Academy logo
Algebraic Functions - Same Variable Times Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing d(7 - 7d)
a A LaTex expression showing 7d + 2d to the power of 2
b A LaTex expression showing 7d - 7d to the power of 2
c A LaTex expression showing 14d - 7d to the power of 2
d A LaTex expression showing 7d - d to the power of 2
e A LaTex expression showing 7d - 2d
f A LaTex expression showing d + 7
2
Which answer is the same expression as this
A LaTex expression showing b(4 - 8b)
a A LaTex expression showing 4b + 2b to the power of 2
b A LaTex expression showing 4b - 8b to the power of 2
c A LaTex expression showing b + 4
d A LaTex expression showing 12b - 4b to the power of 2
e A LaTex expression showing 4b - b to the power of 2
f A LaTex expression showing 4b - 2b
3
Which answer is the same expression as this
A LaTex expression showing 5r(r + 8)
a A LaTex expression showing 5r to the power of 2 + 5r
b A LaTex expression showing 5r to the power of 2 + 40r
c A LaTex expression showing 5r to the power of 2 - 13r
d A LaTex expression showing 5r to the power of 2 + 13r
e A LaTex expression showing 5r to the power of 2 - 8r
f A LaTex expression showing 5r to the power of 2 - 40r
4
Which answer is the same expression as this
A LaTex expression showing d(6 - 6d)
a A LaTex expression showing 6d - d to the power of 2
b A LaTex expression showing 6d - 2d
c A LaTex expression showing 6d + 2d to the power of 2
d A LaTex expression showing 6d - 6d to the power of 2
e A LaTex expression showing 12d - 6d to the power of 2
f A LaTex expression showing d + 6
5
Which answer is the same expression as this
A LaTex expression showing x(5 - 5x)
a A LaTex expression showing 5x - 5x to the power of 2
b A LaTex expression showing 5x - x to the power of 2
c A LaTex expression showing 10x - 5x to the power of 2
d A LaTex expression showing 5x + 2x to the power of 2
e A LaTex expression showing x + 5
f A LaTex expression showing 5x - 2x
6
Which answer is the same expression as this
A LaTex expression showing 3b(b + 4)
a A LaTex expression showing 3b to the power of 2 + 7b
b A LaTex expression showing 3b to the power of 2 + 12b
c A LaTex expression showing 3b to the power of 2 - 7b
d A LaTex expression showing 3b to the power of 2 - 12b
e A LaTex expression showing 3b to the power of 2 - 4b
f A LaTex expression showing 3b to the power of 2 + 3b
7
Which answer is the same expression as this
A LaTex expression showing r(4r - 4)
a A LaTex expression showing 4r to the power of 2 - 8r
b A LaTex expression showing 4r to the power of 2 - 4r
c A LaTex expression showing 4r to the power of 2 + 8r
d A LaTex expression showing 4r to the power of 2 - 16r
e A LaTex expression showing 4r to the power of 2 + 4r
f A LaTex expression showing 4r to the power of 2 + 4r
8
Which answer is the same expression as this
A LaTex expression showing x(2x - 7)
a A LaTex expression showing 2x to the power of 2 + 9x
b A LaTex expression showing 2x to the power of 2 + 7x
c A LaTex expression showing 2x to the power of 2 - 9x
d A LaTex expression showing 2x to the power of 2 - 7x
e A LaTex expression showing 2x to the power of 2 - 14x
f A LaTex expression showing 2x to the power of 2 + 2x