Algebraic Function

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.

more
View Unit

Multiply Bracketed Terms, Same Variable

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

10

Which answer is the same expression as this

(5z7)(5z+3)(5z - 7)(5z + 3)

?


Teaching Transcript

🎙️

Let's multiply these bracketed terms together

To multiply terms in brackets we need to multiply each pair of terms. We can use the acronym foil, for first outer inner last, to remember

Let's multiply our first terms, we have 'X' times 'Y'

Now our outer terms, that's minus 7 'X'

Then our inner terms, which is plus 4 'Y'

And our last terms, which is minus 28

Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

Mobius Math Club logo
Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 4)'. Part of a broader unit on 'Polynomials and Quadratics - Intro' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_intro/
1
Which answer is the same expression as this
A LaTex expression showing (2y - 2)(3y - 5)
a A LaTex expression showing 6y to the power of 2 + 16y - 10
b A LaTex expression showing 6y to the power of 2 + 10y + 16
c A LaTex expression showing 6y to the power of 2 - 16y + 10
d A LaTex expression showing 16y to the power of 2 + 10y - 16
e A LaTex expression showing 6y to the power of 2 + 16y + 10
f A LaTex expression showing 16y to the power of 2 - 10y + 16
2
Which answer is the same expression as this
A LaTex expression showing (2r - 9)(4r - 9)
a A LaTex expression showing 54r to the power of 2 + 81r - 54
b A LaTex expression showing 8r to the power of 2 - 54r + 81
c A LaTex expression showing 54r to the power of 2 - 81r + 54
d A LaTex expression showing 8r to the power of 2 + 54r - 81
e A LaTex expression showing 8r to the power of 2 + 54r + 81
f A LaTex expression showing 8r to the power of 2 + 81r + 54
3
Which answer is the same expression as this
A LaTex expression showing (9r - 8)(6r - 6)
a A LaTex expression showing 54r to the power of 2 - 102r + 48
b A LaTex expression showing 102r to the power of 2 - 48r + 102
c A LaTex expression showing 54r to the power of 2 + 102r - 48
d A LaTex expression showing 54r to the power of 2 + 48r + 102
e A LaTex expression showing 54r to the power of 2 + 102r + 48
f A LaTex expression showing 102r to the power of 2 + 48r - 102
4
Which answer is the same expression as this
A LaTex expression showing (5x - 5)(7x - 5)
a A LaTex expression showing 35x to the power of 2 + 60x + 25
b A LaTex expression showing 35x to the power of 2 + 60x - 25
c A LaTex expression showing 35x to the power of 2 + 25x + 60
d A LaTex expression showing 60x to the power of 2 - 25x + 60
e A LaTex expression showing 60x to the power of 2 + 25x - 60
f A LaTex expression showing 35x to the power of 2 - 60x + 25
5
Which answer is the same expression as this
A LaTex expression showing (7r - 6)(9r - 7)
a A LaTex expression showing 103r to the power of 2 - 42r + 103
b A LaTex expression showing 63r to the power of 2 - 103r + 42
c A LaTex expression showing 103r to the power of 2 + 42r - 103
d A LaTex expression showing 63r to the power of 2 + 103r + 42
e A LaTex expression showing 63r to the power of 2 + 42r + 103
f A LaTex expression showing 63r to the power of 2 + 103r - 42
6
Which answer is the same expression as this
A LaTex expression showing (7r - 2)(6r + 3)
a A LaTex expression showing 42r to the power of 2 - 42r - 6
b A LaTex expression showing 6r to the power of 2 - 6r - 6
c A LaTex expression showing 42r to the power of 2 + 9r - 6
d A LaTex expression showing 42r to the power of 2 + 42r - 6
e A LaTex expression showing 42r to the power of 2 + 42r - 6
f A LaTex expression showing 6r to the power of 2 + 42r + 6
7
Which answer is the same expression as this
A LaTex expression showing (8z - 6)(2z + 3)
a A LaTex expression showing 16z to the power of 2 + 16z - 18
b A LaTex expression showing 16z to the power of 2 - 16z - 18
c A LaTex expression showing 16z to the power of 2 + 16z - 18
d A LaTex expression showing 18z to the power of 2 - 18z - 18
e A LaTex expression showing 18z to the power of 2 + 16z + 18
f A LaTex expression showing 16z to the power of 2 + 12z - 18