HomePricing

Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 1)

This math topic focuses on the skill of multiplying bracketed algebraic terms with different variables, which is foundational in understanding polynomials and quadratics. The questions presented challenge students to expand and simplify expressions such as \((z + 3)(m + 7)\) by using distributive properties. Each problem offers multiple choice answers representing possible simplified forms of the product of binomials. This exercise helps in enhancing polynomial manipulation skills, which are crucial in higher mathematics including algebra, calculus, and beyond.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

View Unit

Multiply Bracketed Terms, Different Variables

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


Which answer is the same expression as this

(d+2)(r+6)(d + 2)(r + 6)

Algebraic Functions - Multiply Bracketed Terms, Different Variables Worksheet

Mobius Math Club logo
Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Different Variables (Level 1)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (b + 5)(z + 4)
a A LaTex expression showing bz + 20z + 4b + 5
b A LaTex expression showing 5bz + 5z + 4b + 20
c A LaTex expression showing bz + 5z + 4b + 20
d A LaTex expression showing bz + 4z + 9b + 5
e A LaTex expression showing bz + 9z + 4b + 5
f A LaTex expression showing bz + 4z + 20b + 5
2
Which answer is the same expression as this
A LaTex expression showing (r + 7)(y + 7)
a A LaTex expression showing ry + 14y + 7r + 7
b A LaTex expression showing ry + 7y + 7r + 49
c A LaTex expression showing ry + 49y + 7r + 7
d A LaTex expression showing ry + 7y + 14r + 7
e A LaTex expression showing 7ry + 7y + 7r + 49
f A LaTex expression showing ry + 7y + 49r + 7
3
Which answer is the same expression as this
A LaTex expression showing (p + 6)(n + 5)
a A LaTex expression showing pn + 6n + 5p + 30
b A LaTex expression showing pn + 5n + 30p + 6
c A LaTex expression showing 6pn + 6n + 5p + 30
d A LaTex expression showing pn + 11n + 5p + 6
e A LaTex expression showing pn + 5n + 11p + 6
f A LaTex expression showing pn + 30n + 5p + 6
4
Which answer is the same expression as this
A LaTex expression showing (p + 5)(c + 2)
a A LaTex expression showing pc + 7c + 2p + 5
b A LaTex expression showing pc + 5c + 2p + 10
c A LaTex expression showing pc + 10c + 2p + 5
d A LaTex expression showing 5pc + 5c + 2p + 10
e A LaTex expression showing pc + 2c + 7p + 5
f A LaTex expression showing pc + 2c + 10p + 5
5
Which answer is the same expression as this
A LaTex expression showing (d + 2)(r + 6)
a A LaTex expression showing dr + 12r + 6d + 2
b A LaTex expression showing 2dr + 2r + 6d + 12
c A LaTex expression showing dr + 6r + 12d + 2
d A LaTex expression showing dr + 2r + 6d + 12
e A LaTex expression showing dr + 6r + 8d + 2
f A LaTex expression showing dr + 8r + 6d + 2
6
Which answer is the same expression as this
A LaTex expression showing (z + 4)(x + 7)
a A LaTex expression showing zx + 7x + 28z + 4
b A LaTex expression showing zx + 4x + 7z + 28
c A LaTex expression showing zx + 7x + 11z + 4
d A LaTex expression showing zx + 11x + 7z + 4
e A LaTex expression showing 4zx + 4x + 7z + 28
f A LaTex expression showing zx + 28x + 7z + 4
7
Which answer is the same expression as this
A LaTex expression showing (d + 2)(z + 3)
a A LaTex expression showing dz + 2z + 3d + 6
b A LaTex expression showing 2dz + 2z + 3d + 6
c A LaTex expression showing dz + 3z + 5d + 2
d A LaTex expression showing dz + 6z + 3d + 2
e A LaTex expression showing dz + 3z + 6d + 2
f A LaTex expression showing dz + 5z + 3d + 2