Multiply Bracketed Terms, Different Variables (Level 1)

This math topic focuses on the skill of multiplying bracketed algebraic terms with different variables, which is foundational in understanding polynomials and quadratics. The questions presented challenge students to expand and simplify expressions such as \((z + 3)(m + 7)\) by using distributive properties. Each problem offers multiple choice answers representing possible simplified forms of the product of binomials. This exercise helps in enhancing polynomial manipulation skills, which are crucial in higher mathematics including algebra, calculus, and beyond.

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

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Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 1)'. Part of a broader unit on 'Algebra Manipulating Variables - Intro' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_intro/
1
Which answer is the same expression as this
A LaTex expression showing (d + 2)(z + 4)
a A LaTex expression showing dz + 2z + 4d + 6
b A LaTex expression showing dz + 2z + 4d + 8
2
Which answer is the same expression as this
A LaTex expression showing (d + 5)(b + 9)
a A LaTex expression showing db + 45b + 9d + 5
b A LaTex expression showing db + 5b + 9d + 45
3
Which answer is the same expression as this
A LaTex expression showing (p + 8)(r + 7)
a A LaTex expression showing pr + 8r + 7p + 56
b A LaTex expression showing pr + 56r + 7p + 8
4
Which answer is the same expression as this
A LaTex expression showing (x + 6)(m + 5)
a A LaTex expression showing xm + 11m + 5x + 6
b A LaTex expression showing xm + 6m + 5x + 30
5
Which answer is the same expression as this
A LaTex expression showing (y + 7)(x + 3)
a A LaTex expression showing yx + 7x + 3y + 21
b A LaTex expression showing 3yx + 7x + 3y + 21
6
Which answer is the same expression as this
A LaTex expression showing (b + 2)(n + 5)
a A LaTex expression showing bn + 2n + 5b + 10
b A LaTex expression showing 2bn + 2n + 5b + 10
7
Which answer is the same expression as this
A LaTex expression showing (n + 5)(r + 4)
a A LaTex expression showing nr + 4r + 20n + 5
b A LaTex expression showing nr + 5r + 4n + 20
Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 1) - Mobius Math Academy