Multiply Bracketed Terms, Same Variable (Level 2)

This topic focuses on algebraic functions, specifically on the multiplication of bracketed terms with the same variable. It is an advanced aspect of studying polynomials and quadratics. The practice involves identifying equivalent expressions from given binomial multiplication problems. The variables used are 'm', 'x', 'b', 'p' and 'd'. The solutions to these problems require understanding of expanding and simplifying algebraic expressions.

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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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 2)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing (n - 5)(n + 4)
a A LaTex expression showing n to the power of 2 + 20n + 9
b A LaTex expression showing n to the power of 2 - 9n + 20
c A LaTex expression showing n to the power of 2 - 20n + 9
d A LaTex expression showing 20n to the power of 2 - 9n + 13
e A LaTex expression showing n to the power of 2 - 1n - 20
2
Which answer is the same expression as this
A LaTex expression showing (y - 8)(y - 2)
a A LaTex expression showing y to the power of 2 - 10y + 16
b A LaTex expression showing 16y to the power of 2 - 10y + 12
c A LaTex expression showing 10y to the power of 2 + y + 16
d A LaTex expression showing y to the power of 2 + 10y - 16
e A LaTex expression showing y to the power of 2 - 16y + 10
3
Which answer is the same expression as this
A LaTex expression showing (d - 6)(d + 4)
a A LaTex expression showing d to the power of 2 + 24d + 10
b A LaTex expression showing d to the power of 2 + 10d - 24
c A LaTex expression showing d to the power of 2 - 2d - 24
d A LaTex expression showing 10d to the power of 2 + d + 24
e A LaTex expression showing d to the power of 2 - 10d - 24
4
Which answer is the same expression as this
A LaTex expression showing (z + 8)(z - 8)
a A LaTex expression showing z to the power of 2 - 64z - 16
b A LaTex expression showing z to the power of 2 - 64
c A LaTex expression showing z to the power of 2 + 64z - 16
d A LaTex expression showing z to the power of 2 + 64z + 64
e A LaTex expression showing z to the power of 2 - 64z + 64
5
Which answer is the same expression as this
A LaTex expression showing (x - 6)(x + 3)
a A LaTex expression showing x to the power of 2 + 18x + 9
b A LaTex expression showing 9x to the power of 2 + x + 18
c A LaTex expression showing 18x to the power of 2 - 9x + 12
d A LaTex expression showing x to the power of 2 + 9x - 18
e A LaTex expression showing x to the power of 2 - 3x - 18
6
Which answer is the same expression as this
A LaTex expression showing (r + 2)(r - 5)
a A LaTex expression showing r to the power of 2 + 10r - 7
b A LaTex expression showing 10r to the power of 2 + 7r + 12
c A LaTex expression showing r to the power of 2 - 3r - 10
d A LaTex expression showing r to the power of 2 + 7r - 10
e A LaTex expression showing r to the power of 2 + 7r + 10
7
Which answer is the same expression as this
A LaTex expression showing (m + 8)(m - 7)
a A LaTex expression showing m to the power of 2 + 1m - 56
b A LaTex expression showing m to the power of 2 - 1m + 56
c A LaTex expression showing 56m to the power of 2 + 15m + 22
d A LaTex expression showing 15m to the power of 2 + m + 56
e A LaTex expression showing m to the power of 2 - 56m + 15