Multiply Bracketed Terms, Same Variable (Level 4)

This math topic focuses on the skill of multiplying bracketed terms in algebraic functions, specifically when the same variable is used. It drills learners on expanding such expressions, often seen in polynomials and quadratic functions. The problems require correct calculation of multiple terms, including squared variables, variables, and constant terms. Answer choices show common mistakes and the importance of sign accuracy when multiplying positive and negative numbers. This is part of the broader topic of polynomials and quadratics at an advanced level.

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 Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Same Variable
1
Which answer is the same expression as this
A LaTex expression showing (5c - 7)(8c + 9)
a A LaTex expression showing 63c to the power of 2 - 40c + 25
b A LaTex expression showing 40c to the power of 2 - 11c - 63
c A LaTex expression showing 63c to the power of 2 + 40c + 63
d A LaTex expression showing 40c to the power of 2 - c + 63
e A LaTex expression showing c to the power of 2 + 63c - 40
f A LaTex expression showing 63c to the power of 2 - 40c + 63
2
Which answer is the same expression as this
A LaTex expression showing (9x - 3)(6x - 4)
a A LaTex expression showing 12x to the power of 2 - 54x + 1
b A LaTex expression showing 4x to the power of 2 - 12x + 54
c A LaTex expression showing 54x to the power of 2 - 54x + 12
d A LaTex expression showing 9x to the power of 2 + 12x + 54
e A LaTex expression showing 54x to the power of 2 + 54x + 12
f A LaTex expression showing 54x to the power of 2 + 12x - 54
3
Which answer is the same expression as this
A LaTex expression showing (9x - 4)(4x - 2)
a A LaTex expression showing 36x to the power of 2 - 34x + 8
b A LaTex expression showing 34x to the power of 2 + 8x - 34
c A LaTex expression showing 34x to the power of 2 - 8x + 34
d A LaTex expression showing 34x to the power of 2 + x + 8
e A LaTex expression showing 8x to the power of 2 - 34x + 2
f A LaTex expression showing 9x to the power of 2 + 8x + 34
4
Which answer is the same expression as this
A LaTex expression showing (9y - 5)(3y - 9)
a A LaTex expression showing 3y to the power of 2 + 96y - 45
b A LaTex expression showing 45y to the power of 2 - 96y + 4
c A LaTex expression showing 96y to the power of 2 + 96y + 45
d A LaTex expression showing 5y to the power of 2 + 45y - 96
e A LaTex expression showing 9y to the power of 2 - 45y + 96
f A LaTex expression showing 27y to the power of 2 - 96y + 45
5
Which answer is the same expression as this
A LaTex expression showing (6x - 8)(5x + 2)
a A LaTex expression showing 6x to the power of 2 + 16x + 30
b A LaTex expression showing 16x to the power of 2 + 30x + 16
c A LaTex expression showing 16x to the power of 2 - 30x + 16
d A LaTex expression showing 30x to the power of 2 - 28x - 16
e A LaTex expression showing 30x to the power of 2 + x + 16
f A LaTex expression showing 6x to the power of 2 - 16x + 30
6
Which answer is the same expression as this
A LaTex expression showing (7m - 9)(5m + 6)
a A LaTex expression showing 35m to the power of 2 - 35m - 54
b A LaTex expression showing m to the power of 2 + 54m - 35
c A LaTex expression showing 35m to the power of 2 - 3m - 54
d A LaTex expression showing 7m to the power of 2 + 54m + 54
e A LaTex expression showing 35m to the power of 2 + m + 54
f A LaTex expression showing 35m to the power of 2 - m + 54
7
Which answer is the same expression as this
A LaTex expression showing (9n - 7)(9n + 9)
a A LaTex expression showing 81n to the power of 2 - 81n - 63
b A LaTex expression showing 81n to the power of 2 + 81n - 63
c A LaTex expression showing 81n to the power of 2 + 18n - 63
d A LaTex expression showing 81n to the power of 2 + n + 63
e A LaTex expression showing 63n to the power of 2 - 63n - 63
f A LaTex expression showing n to the power of 2 + 63n - 81
8
Which answer is the same expression as this
A LaTex expression showing (3z - 2)(5z + 3)
a A LaTex expression showing 6z to the power of 2 + 15z + 8
b A LaTex expression showing 6z to the power of 2 - 15z + 6
c A LaTex expression showing 15z to the power of 2 - 15z - 6
d A LaTex expression showing 3z to the power of 2 + 6z + 15
e A LaTex expression showing 6z to the power of 2 + 15z + 6
f A LaTex expression showing 15z to the power of 2 - 1z - 6