Multiply Bracketed Terms, Same Variable (Level 1)

This math topic challenges students to expand and simplify bracketed algebraic expressions. Specifically, the subject focuses on multiplying terms of same variable enclosed in brackets. This topic forms a crucial part of advanced polynomials and quadratics. To test understanding, students need to identify an expression equivalent to the one given among multiple options. For example, students might be asked to determine which expressions are equivalent to (r + 8)(r + 5), (p + 7)(p + 5), or (z + 3)(z + 3).

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Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Same Variable
1
A LaTex expression showing (p + 4)(p + 8)
Which answer is the same expression as this
a A LaTex expression showing p to the power of 2 + 12p + 32
b A LaTex expression showing 12p to the power of 2 - p + 32
2
A LaTex expression showing (n + 6)(n + 4)
Which answer is the same expression as this
a A LaTex expression showing n to the power of 2 + 24n - 10
b A LaTex expression showing n to the power of 2 + 10n + 24
3
A LaTex expression showing (r + 6)(r + 2)
Which answer is the same expression as this
a A LaTex expression showing r to the power of 2 + 8r - 12
b A LaTex expression showing r to the power of 2 + 8r + 12
4
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 + 36y + 12
b A LaTex expression showing y to the power of 2 + 12y + 36
5
A LaTex expression showing (z + 9)(z + 3)
Which answer is the same expression as this
a A LaTex expression showing z to the power of 2 - 27z + 12
b A LaTex expression showing z to the power of 2 + 12z + 27
6
A LaTex expression showing (r + 7)(r + 6)
Which answer is the same expression as this
a A LaTex expression showing 13r to the power of 2 - r + 42
b A LaTex expression showing r to the power of 2 + 13r + 42
7
A LaTex expression showing (p + 5)(p + 2)
Which answer is the same expression as this
a A LaTex expression showing 7p to the power of 2 + p + 10
b A LaTex expression showing p to the power of 2 + 7p + 10
8
A LaTex expression showing (y + 3)(y + 9)
Which answer is the same expression as this
a A LaTex expression showing y to the power of 2 + 12y + 27
b A LaTex expression showing y to the power of 2 - 27y + 12