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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Algebraic Functions - Value Times Bracketed Terms Worksheet

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Algebraic Functions - Value Times Bracketed Terms
1
Which answer is the same expression as this
A LaTex expression showing 4(7b + 5)
a A LaTex expression showing 4b - 28
b A LaTex expression showing 4b + 28
c A LaTex expression showing 28b + 20
d A LaTex expression showing 28b - 28
e A LaTex expression showing 4b - 20
f A LaTex expression showing 28b + 4
2
Which answer is the same expression as this
A LaTex expression showing 4(7m - 2)
a A LaTex expression showing 4m - 28
b A LaTex expression showing 4m + 8
c A LaTex expression showing 28m + 8
d A LaTex expression showing m to the power of {4 } + 8
e A LaTex expression showing 28m - 8
f A LaTex expression showing 28m + 28
3
Which answer is the same expression as this
A LaTex expression showing 3(7y - 4)
a A LaTex expression showing y to the power of {3 } + 12
b A LaTex expression showing 21y + 12
c A LaTex expression showing 21y + 21
d A LaTex expression showing 3y + 12
e A LaTex expression showing 21y - 12
f A LaTex expression showing 3y - 21
4
Which answer is the same expression as this
A LaTex expression showing 7(2b - 7)
a A LaTex expression showing 7b + 49
b A LaTex expression showing 14b - 49
c A LaTex expression showing b to the power of {7 } + 49
d A LaTex expression showing 14b + 49
e A LaTex expression showing 7b - 14
f A LaTex expression showing 14b + 14
5
Which answer is the same expression as this
A LaTex expression showing 2(7z - 9)
a A LaTex expression showing 2z + 18
b A LaTex expression showing 14z - 18
c A LaTex expression showing 2z - 14
d A LaTex expression showing z to the power of {2 } + 18
e A LaTex expression showing 14z + 18
f A LaTex expression showing 14z + 14
6
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 + 54
c A LaTex expression showing 54p + 18
d A LaTex expression showing 54p - 18
e A LaTex expression showing 9p + 18
f A LaTex expression showing 9p - 54
7
Which answer is the same expression as this
A LaTex expression showing 6(7z + 2)
a A LaTex expression showing 42z - 42
b A LaTex expression showing 6z + 42
c A LaTex expression showing 6z - 12
d A LaTex expression showing 42z + 12
e A LaTex expression showing 42z + 6
f A LaTex expression showing 6z - 42
8
Which answer is the same expression as this
A LaTex expression showing 2(2d + 9)
a A LaTex expression showing 2d + 4
b A LaTex expression showing 4d + 18
c A LaTex expression showing 2d - 4
d A LaTex expression showing 2d - 18
e A LaTex expression showing 4d - 4
f A LaTex expression showing 4d + 2