Algebraic Function

Multiply Bracketed Terms, Different Variables (Level 2)

This math topic focuses on algebraic functions involving the multiplication of bracketed terms with different variables. Specifically, it practices expanding and simplifying expressions formed by multiplying binomials that include different variables. Each question presents a binomial expression to expand and several options, among which students need to identify the correct simplified form of the expression. This is an introductory component of learning about polynomials and quadratics, enhancing skills in algebraic manipulation and understanding the distributive property.

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

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Multiply Bracketed Terms, Different Variables

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

(y3)(m8)(y - 3)(m - 8)

?

Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 2)'. Part of a broader unit on 'Polynomials and Quadratics - Intro' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_intro/
1
Which answer is the same expression as this
A LaTex expression showing (m - 6)(y - 6)
a A LaTex expression showing my + 6y + 6m - 36
b A LaTex expression showing 6y - 6m - 36 - my
c A LaTex expression showing my - 6y - 6m - 36
d A LaTex expression showing my + 36y - 6m + 6
e A LaTex expression showing my - 6y + 36m + 6
f A LaTex expression showing my + 6y - 6m + 36
2
Which answer is the same expression as this
A LaTex expression showing (n + 4)(d + 4)
a A LaTex expression showing nd + 16d + 4n + 4
b A LaTex expression showing nd + 4d + 4n + 16
c A LaTex expression showing nd + 4d + 16n + 4
d A LaTex expression showing nd + 4d + 8n + 4
e A LaTex expression showing 4nd + 4d + 4n + 16
f A LaTex expression showing nd + 8d + 4n + 4
3
Which answer is the same expression as this
A LaTex expression showing (n + 9)(y - 5)
a A LaTex expression showing ny - 9y - 5n + 45
b A LaTex expression showing ny - 9y + 5n - 45
c A LaTex expression showing ny + 9y - 5n - 45
d A LaTex expression showing 9y - 5n - 45 - ny
e A LaTex expression showing ny + 45y - 5n + 9
f A LaTex expression showing ny - 5y + 45n + 9
4
Which answer is the same expression as this
A LaTex expression showing (d - 9)(c + 4)
a A LaTex expression showing dc + 36c - 4d + 9
b A LaTex expression showing dc - 4c + 36d + 9
c A LaTex expression showing 9c - 4d - 36 - dc
d A LaTex expression showing dc - 9c + 4d - 36
e A LaTex expression showing dc - 9c - 4d + 36
f A LaTex expression showing dc + 9c - 4d - 36
5
Which answer is the same expression as this
A LaTex expression showing (b + 5)(z + 6)
a A LaTex expression showing bz + 30z + 6b + 5
b A LaTex expression showing 5bz + 5z + 6b + 30
c A LaTex expression showing bz + 6z + 11b + 5
d A LaTex expression showing bz + 6z + 30b + 5
e A LaTex expression showing bz + 11z + 6b + 5
f A LaTex expression showing bz + 5z + 6b + 30
6
Which answer is the same expression as this
A LaTex expression showing (z + 2)(p - 9)
a A LaTex expression showing zp + 18p - 9z + 2
b A LaTex expression showing zp - 9p + 18z + 2
c A LaTex expression showing 2p - 9z - 18 - zp
d A LaTex expression showing zp - 2p + 9z - 18
e A LaTex expression showing zp - 2p - 9z + 18
f A LaTex expression showing zp + 2p - 9z - 18
7
Which answer is the same expression as this
A LaTex expression showing (r - 9)(x + 8)
a A LaTex expression showing rx - 9x - 8r + 72
b A LaTex expression showing 9x - 8r - 72 - rx
c A LaTex expression showing rx + 9x - 8r - 72
d A LaTex expression showing rx - 8x + 72r + 9
e A LaTex expression showing rx + 72x - 8r + 9
f A LaTex expression showing rx - 9x + 8r - 72