Same Variable Times Bracketed Terms (Level 1)

This math topic focuses on simplifying algebraic functions, specifically involving a single variable multiplied by bracketed terms. It is part of a broader introduction to polynomials and quadratics. Each problem presents an expression for students to expand and equate it with one of the multiple-choice answers, testing their ability to manipulate algebraic expressions accurately. Example exercises include expanding expressions like y(y + 3) or d(d - 6) and identifying equivalent forms from a list of options. This helps students recognize the correct expanded form of polynomial expressions and sharpens their algebraic manipulation skills.

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

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Algebraic Functions - Same Variable Times Bracketed Terms Worksheet

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