Multiply Bracketed Terms, Different Variables (First Term) (Level 1)

This math topic focuses on practicing the multiplication of algebraic expressions with bracketed terms that involve different variables. It targets skills in expanding expressions such as \((y - 3)(c + 5)\) or \((b + 4)(x - 6)\), and identifying equivalent forms of these products. Each problem presents an expression in a format such as \((variable1 ± constant) (variable2 ± constant)\) and asks to select the correct expanded form from provided options. By tackling these exercises, students enhance their understanding of distributing across terms and handling algebra with different variables.

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 (First Term) Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (First Term) (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 (r - 2)(c - 2)
a A LaTex expression showing rc + 2c - 2r + 4
b A LaTex expression showing 4rc + 2c - 2r + 4
2
Which answer is the same expression as this
A LaTex expression showing (d - 7)(z - 6)
a A LaTex expression showing dz + 7z - 6d + 42
b A LaTex expression showing 84dz + 7z - 6d + 42
3
Which answer is the same expression as this
A LaTex expression showing (c - 7)(y + 3)
a A LaTex expression showing 10cy - 7y + 3c - 21
b A LaTex expression showing cy - 7y + 3c - 21
4
Which answer is the same expression as this
A LaTex expression showing (m + 2)(n - 8)
a A LaTex expression showing mn + 2n - 8m - 16
b A LaTex expression showing 12mn + 2n - 8m - 16
5
Which answer is the same expression as this
A LaTex expression showing (r + 6)(y - 8)
a A LaTex expression showing ry + 6y - 8r - 48
b A LaTex expression showing 14ry + 6y - 8r - 48
6
Which answer is the same expression as this
A LaTex expression showing (x - 9)(c - 8)
a A LaTex expression showing xc + 9c - 8x + 72
b A LaTex expression showing 72xc + 9c - 8x + 72
7
Which answer is the same expression as this
A LaTex expression showing (x - 8)(n + 2)
a A LaTex expression showing xn - 8n + 2x - 16
b A LaTex expression showing 10xn - 8n + 2x - 16