Multiply Bracketed Terms, Same Variable (First Term) (Level 1)

This math topic focuses on practicing algebraic functions, specifically the multiplication of bracketed terms that contain the same variable as the first term. The learners are expected to multiply polynomials and identify correct expansions. Each problem requires expanding and simplifying expressions such as \((y-7)(y-7)\) and determining which of two given choices represents the same expression after the multiplication has been performed. This topic is a fundamental part of understanding how to manipulate algebraic expressions in polynomial arithmetic, enhancing skills in algebra basics.

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 (First Term) Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (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
A LaTex expression showing (b + 3)(b + 9)
Which answer is the same expression as this
a A LaTex expression showing 27b to the power of 2 + 12b + 27
b A LaTex expression showing b to the power of 2 + 12b + 27
2
A LaTex expression showing (z + 3)(z + 2)
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 + 5z + 6
b A LaTex expression showing 6z to the power of 2 + 5z + 6
3
A LaTex expression showing (b + 7)(b - 3)
Which answer is the same expression as this
a A LaTex expression showing b to the power of 2 + 4b - 21
b A LaTex expression showing 21b to the power of 2 + 4b - 21
4
A LaTex expression showing (b + 7)(b + 8)
Which answer is the same expression as this
a A LaTex expression showing 15b to the power of 2 + 15b + 56
b A LaTex expression showing b to the power of 2 + 15b + 56
5
A LaTex expression showing (y - 7)(y - 7)
Which answer is the same expression as this
a A LaTex expression showing y to the power of 2 - 14y + 49
b A LaTex expression showing 14y to the power of 2 - 14y + 49
6
A LaTex expression showing (y - 7)(y + 2)
Which answer is the same expression as this
a A LaTex expression showing 5y to the power of 2 - 5y - 14
b A LaTex expression showing y to the power of 2 - 5y - 14
7
A LaTex expression showing (p + 9)(p - 5)
Which answer is the same expression as this
a A LaTex expression showing 4p to the power of 2 + 4p - 45
b A LaTex expression showing p to the power of 2 + 4p - 45