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Algebraic Functions - 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

(d7)(r4)(d - 7)(r - 4)

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 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (z - 8)(y + 9)
a A LaTex expression showing zy - 8y + 9z - 72
b A LaTex expression showing zy + 8y - 9z - 72
c A LaTex expression showing 8y - 9z - 72 - zy
d A LaTex expression showing zy - 8y - 9z + 72
e A LaTex expression showing zy + 72y - 9z + 8
f A LaTex expression showing zy - 9y + 72z + 8
2
Which answer is the same expression as this
A LaTex expression showing (m - 8)(b - 3)
a A LaTex expression showing mb - 3b + 24m + 8
b A LaTex expression showing 8b - 3m - 24 - mb
c A LaTex expression showing mb - 8b - 3m - 24
d A LaTex expression showing mb + 24b - 3m + 8
e A LaTex expression showing mb + 8b - 3m + 24
f A LaTex expression showing mb + 8b + 3m - 24
3
Which answer is the same expression as this
A LaTex expression showing (m - 7)(z - 7)
a A LaTex expression showing mz + 7z + 7m - 49
b A LaTex expression showing mz + 49z - 7m + 7
c A LaTex expression showing mz - 7z + 49m + 7
d A LaTex expression showing 7z - 7m - 49 - mz
e A LaTex expression showing mz - 7z - 7m - 49
f A LaTex expression showing mz + 7z - 7m + 49
4
Which answer is the same expression as this
A LaTex expression showing (r + 4)(b - 2)
a A LaTex expression showing rb - 4b - 2r + 8
b A LaTex expression showing rb - 2b + 8r + 4
c A LaTex expression showing rb + 4b - 2r - 8
d A LaTex expression showing 4b - 2r - 8 - rb
e A LaTex expression showing rb + 8b - 2r + 4
f A LaTex expression showing rb - 4b + 2r - 8
5
Which answer is the same expression as this
A LaTex expression showing (p + 7)(b + 5)
a A LaTex expression showing pb + 5b + 12p + 7
b A LaTex expression showing pb + 12b + 5p + 7
c A LaTex expression showing pb + 7b + 5p + 35
d A LaTex expression showing pb + 35b + 5p + 7
e A LaTex expression showing pb + 5b + 35p + 7
f A LaTex expression showing 7pb + 7b + 5p + 35
6
Which answer is the same expression as this
A LaTex expression showing (m + 7)(d - 7)
a A LaTex expression showing md + 7d - 7m - 49
b A LaTex expression showing md - 7d + 7m - 49
c A LaTex expression showing md - 7d + 49m + 7
d A LaTex expression showing md - 7d - 7m + 49
e A LaTex expression showing md + 49d - 7m + 7
f A LaTex expression showing 7d - 7m - 49 - md
7
Which answer is the same expression as this
A LaTex expression showing (z + 9)(p - 3)
a A LaTex expression showing zp + 9p - 3z - 27
b A LaTex expression showing 9p - 3z - 27 - zp
c A LaTex expression showing zp - 9p + 3z - 27
d A LaTex expression showing zp - 3p + 27z + 9
e A LaTex expression showing zp + 27p - 3z + 9
f A LaTex expression showing zp - 9p - 3z + 27