Algebraic Functions - Value Times Bracketed Terms (Level 2)

This math topic involves practicing the skill of expanding algebraic expressions where a single value is multiplied by bracketed terms. The exercises focus on distributive property applications, where students need to multiply a constant by a linear binomial and identify equivalent expressions. The examples provided require determining which of several given options represents the appropriate expansion of an expression such as 9(9x - 7) or 8(3z + 7). These tasks are essential for understanding polynomials and quadratic equations at an advanced level.

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

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Value Times Bracketed Terms

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Which answer is the same expression as this

2(2z+8)2(2z + 8)

Algebraic Functions - Value Times Bracketed Terms Worksheet

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Math worksheet on 'Algebraic Functions - Value Times Bracketed Terms (Level 2)'. 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 6(7z - 9)
a A LaTex expression showing 6z - 42
b A LaTex expression showing 42z + 54
c A LaTex expression showing z to the power of {6 } + 54
d A LaTex expression showing 6z + 54
e A LaTex expression showing 42z + 42
f A LaTex expression showing 42z - 54
2
Which answer is the same expression as this
A LaTex expression showing 9(6p - 2)
a A LaTex expression showing p to the power of {9 } + 18
b A LaTex expression showing 54p - 18
c A LaTex expression showing 54p + 18
d A LaTex expression showing 54p + 54
e A LaTex expression showing 9p + 18
f A LaTex expression showing 9p - 54
3
Which answer is the same expression as this
A LaTex expression showing 7(2b - 7)
a A LaTex expression showing 7b - 14
b A LaTex expression showing 14b - 49
c A LaTex expression showing 7b + 49
d A LaTex expression showing b to the power of {7 } + 49
e A LaTex expression showing 14b + 49
f A LaTex expression showing 14b + 14
4
Which answer is the same expression as this
A LaTex expression showing 3(7d + 8)
a A LaTex expression showing 3d - 24
b A LaTex expression showing 3d - 21
c A LaTex expression showing 21d + 24
d A LaTex expression showing 21d - 21
e A LaTex expression showing 21d + 3
f A LaTex expression showing 3d + 21
5
Which answer is the same expression as this
A LaTex expression showing 8(3z + 7)
a A LaTex expression showing 24z - 24
b A LaTex expression showing 8z - 56
c A LaTex expression showing 24z + 56
d A LaTex expression showing 8z - 24
e A LaTex expression showing 8z + 24
f A LaTex expression showing 24z + 8
6
Which answer is the same expression as this
A LaTex expression showing 8(5c - 3)
a A LaTex expression showing 40c + 24
b A LaTex expression showing 8c + 24
c A LaTex expression showing c to the power of {8 } + 24
d A LaTex expression showing 40c + 40
e A LaTex expression showing 8c - 40
f A LaTex expression showing 40c - 24
7
Which answer is the same expression as this
A LaTex expression showing 2(2z + 8)
a A LaTex expression showing 2z + 4
b A LaTex expression showing 4z + 2
c A LaTex expression showing 4z - 4
d A LaTex expression showing 2z - 16
e A LaTex expression showing 2z - 4
f A LaTex expression showing 4z + 16