Multiply Bracketed Terms, Same Variable (Level 3)

This math topic is focused on algebraic functions, specifically multiplying bracketed terms with the same variable. It is a part of the broader unit on advanced polynomials and quadratics. The practice problems involve determining which expressions match the expressions given after the brackets have been multiplied out. The variables used are mixed, including 'm', 'b', 'c', and 'r', making this a comprehensive drill for students.

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

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Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Same Variable
1
Which answer is the same expression as this
A LaTex expression showing (6y + 2)(y - 7)
a A LaTex expression showing 14y to the power of 2 + 9y + 16
b A LaTex expression showing 6y to the power of 2 - 9y - 14
c A LaTex expression showing y to the power of 2 - 14y + 9
d A LaTex expression showing 14y to the power of 2 - 9y + 16
e A LaTex expression showing 2y to the power of 2 + 40y - 14
f A LaTex expression showing 6y to the power of 2 - 40y - 14
2
Which answer is the same expression as this
A LaTex expression showing (2z + 8)(z - 4)
a A LaTex expression showing 2z to the power of 2 + 0z - 32
b A LaTex expression showing z to the power of 2 - 32z + 12
c A LaTex expression showing 12z to the power of 2 + z + 32
d A LaTex expression showing z to the power of 2 + 32z - 12
e A LaTex expression showing 2z to the power of 2 - 0z - 32
f A LaTex expression showing 32z to the power of 2 + 12z + 16
3
Which answer is the same expression as this
A LaTex expression showing (p + 6)(4p + 8)
a A LaTex expression showing 32p to the power of 2 + p + 48
b A LaTex expression showing p to the power of 2 - 32p + 48
c A LaTex expression showing 4p to the power of 2 + 32p - 48
d A LaTex expression showing p to the power of 2 + 32p - 48
e A LaTex expression showing 4p to the power of 2 + 32p + 48
f A LaTex expression showing 48p to the power of 2 + 32p + 22
4
Which answer is the same expression as this
A LaTex expression showing (2c + 5)(c - 2)
a A LaTex expression showing c to the power of 2 + 10c + 7
b A LaTex expression showing 2c to the power of 2 + 7c - 10
c A LaTex expression showing 5c to the power of 2 + 7c + 10
d A LaTex expression showing 10c to the power of 2 + 7c + 9
e A LaTex expression showing 2c to the power of 2 + 1c - 10
f A LaTex expression showing 2c to the power of 2 - 7c - 10
5
Which answer is the same expression as this
A LaTex expression showing (6p + 8)(p - 6)
a A LaTex expression showing p to the power of 2 - 48p + 14
b A LaTex expression showing p to the power of 2 + 48p - 14
c A LaTex expression showing 48p to the power of 2 - 14p + 20
d A LaTex expression showing 8p to the power of 2 + 28p - 48
e A LaTex expression showing 6p to the power of 2 - 28p - 48
f A LaTex expression showing 6p to the power of 2 - 14p - 48
6
Which answer is the same expression as this
A LaTex expression showing (d + 7)(9d + 2)
a A LaTex expression showing d to the power of 2 + 14d - 65
b A LaTex expression showing 14d to the power of 2 - 65d + 11
c A LaTex expression showing 9d to the power of 2 + 65d + 14
d A LaTex expression showing 9d to the power of 2 + 65d - 14
e A LaTex expression showing 9d to the power of 2 + 14d + 65
f A LaTex expression showing 65d to the power of 2 - d + 14
7
Which answer is the same expression as this
A LaTex expression showing (p + 8)(6p + 4)
a A LaTex expression showing 6p to the power of 2 + 52p + 32
b A LaTex expression showing 4p to the power of 2 + 32p - 52
c A LaTex expression showing 32p to the power of 2 - 52p + 16
d A LaTex expression showing 52p to the power of 2 + p + 32
e A LaTex expression showing 52p to the power of 2 - p + 32
f A LaTex expression showing 6p to the power of 2 + 32p + 52
8
Which answer is the same expression as this
A LaTex expression showing (3p + 8)(p - 6)
a A LaTex expression showing 6p to the power of 2 - 14p - 48
b A LaTex expression showing 48p to the power of 2 - 14p + 20
c A LaTex expression showing 3p to the power of 2 + 14p - 48
d A LaTex expression showing p to the power of 2 - 48p + 14
e A LaTex expression showing 3p to the power of 2 - 14p - 48
f A LaTex expression showing 3p to the power of 2 - 10p - 48