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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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 4)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing (4y - 8)(8y + 2)
a A LaTex expression showing 32y to the power of 2 - 56y - 16
b A LaTex expression showing 4y to the power of 2 + 16y + 16
c A LaTex expression showing 16y to the power of 2 + 16y - 16
d A LaTex expression showing 4y to the power of 2 - 16y + 32
e A LaTex expression showing 32y to the power of 2 - 32y - 16
f A LaTex expression showing 32y to the power of 2 - y + 16
2
Which answer is the same expression as this
A LaTex expression showing (3z - 4)(7z - 7)
a A LaTex expression showing 28z to the power of 2 - 49z + 3
b A LaTex expression showing 49z to the power of 2 + 49z + 28
c A LaTex expression showing 49z to the power of 2 - z + 28
d A LaTex expression showing 21z to the power of 2 + 49z - 28
e A LaTex expression showing 21z to the power of 2 + 49z + 28
f A LaTex expression showing 21z to the power of 2 - 49z + 28
3
Which answer is the same expression as this
A LaTex expression showing (9x - 4)(4x - 2)
a A LaTex expression showing 9x to the power of 2 + 8x + 34
b A LaTex expression showing 34x to the power of 2 - 8x + 34
c A LaTex expression showing 8x to the power of 2 - 34x + 2
d A LaTex expression showing 34x to the power of 2 + 8x - 34
e A LaTex expression showing 36x to the power of 2 - 34x + 8
f A LaTex expression showing 34x to the power of 2 + x + 8
4
Which answer is the same expression as this
A LaTex expression showing (9c - 8)(9c + 6)
a A LaTex expression showing 81c to the power of 2 - c + 48
b A LaTex expression showing 81c to the power of 2 - 81c - 48
c A LaTex expression showing 81c to the power of 2 - 18c - 48
d A LaTex expression showing 9c to the power of 2 + 48c + 81
e A LaTex expression showing 48c to the power of 2 + 48c - 48
f A LaTex expression showing 48c to the power of 2 + 81c + 20
5
Which answer is the same expression as this
A LaTex expression showing (9n - 7)(9n + 9)
a A LaTex expression showing n to the power of 2 + 63n - 81
b A LaTex expression showing 81n to the power of 2 - 81n - 63
c A LaTex expression showing 81n to the power of 2 + 81n - 63
d A LaTex expression showing 81n to the power of 2 + 18n - 63
e A LaTex expression showing 81n to the power of 2 + n + 63
f A LaTex expression showing 63n to the power of 2 - 63n - 63
6
Which answer is the same expression as this
A LaTex expression showing (3c - 6)(7c - 7)
a A LaTex expression showing 21c to the power of 2 + 63c + 42
b A LaTex expression showing 3c to the power of 2 + 42c + 63
c A LaTex expression showing 21c to the power of 2 + 63c - 42
d A LaTex expression showing 21c to the power of 2 - 63c + 42
e A LaTex expression showing 7c to the power of 2 + 63c - 42
f A LaTex expression showing 63c to the power of 2 + 63c + 42
7
Which answer is the same expression as this
A LaTex expression showing (4c - 5)(7c + 2)
a A LaTex expression showing 4c to the power of 2 + 10c + 10
b A LaTex expression showing 10c to the power of 2 + 28c + 10
c A LaTex expression showing 10c to the power of 2 + 28c + 9
d A LaTex expression showing 28c to the power of 2 + 28c - 10
e A LaTex expression showing 4c to the power of 2 - 10c + 28
f A LaTex expression showing 28c to the power of 2 - 27c - 10