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

This math topic focuses on the skill of expanding and simplifying algebraic expressions that involve multiplying binomials. Each problem presents an expression with binomial terms (example, \((x+6)(x-2)\)), and the students must select the equivalent expression after expanding the binomials. The expressions involve variables such as \(x\), \(n\), \(p\), \(b\), and \(z\), combined with integer constants. The task is to identify the correct simplified form of these polynomial expressions from given options. Each question assesses the student's understanding of algebraic distribution and simplification processes.

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 (Last Term) Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Last 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 (z + 5)(z - 3)
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 + 2z - 15
b A LaTex expression showing z to the power of 2 + 2z - 8
2
A LaTex expression showing (y - 6)(y - 6)
Which answer is the same expression as this
a A LaTex expression showing y to the power of 2 - 12y + 0
b A LaTex expression showing y to the power of 2 - 12y + 36
3
A LaTex expression showing (c - 4)(c + 7)
Which answer is the same expression as this
a A LaTex expression showing c to the power of 2 + 3c - 28
b A LaTex expression showing c to the power of 2 + 3c - 11
4
A LaTex expression showing (m + 4)(m + 4)
Which answer is the same expression as this
a A LaTex expression showing m to the power of 2 + 8m + 0
b A LaTex expression showing m to the power of 2 + 8m + 16
5
A LaTex expression showing (m - 2)(m + 5)
Which answer is the same expression as this
a A LaTex expression showing m to the power of 2 + 3m - 10
b A LaTex expression showing m to the power of 2 + 3m - 3
6
A LaTex expression showing (d - 2)(d - 4)
Which answer is the same expression as this
a A LaTex expression showing d to the power of 2 - 6d + 8
b A LaTex expression showing d to the power of 2 - 6d + 2
7
A LaTex expression showing (n - 6)(n - 7)
Which answer is the same expression as this
a A LaTex expression showing n to the power of 2 - 13n + 42
b A LaTex expression showing n to the power of 2 - 13n + 20