An operation is distributive if the result of applying it to a sum of terms equals the sum of the results of applying it to the terms individually.
a ( b + c ) = ( a x b ) + ( a x c )
Here, ‘a’ is multiplied with the sum of two terms ‘b and c’ in the left hand side which, gives the same answer when ‘a’ is multiplied individually with ‘b’ and ‘c’ and then added.
Distributive Property Problems Example Part - 1:
1) Solve the problem using distributive property 9(9 + x).
Solution:
=9(9 + x)
=(9 * 9 + x * 9)
=(81 + 9x)
2) Solve the problem using distributive property 2(4 + 9x)
Solution:
2(4 + 9x)
(4 * 2 + 9x * 2)
(8 + 18x)
3) Solve the problem using distributive property 7(-1 + x)
Solution:
=7(-1 + x)
=(-1 * 7 + x * 7)
=(-7 + 7x)
4) Solve the problem using distributive property 12(a + b + c)
Solution:
=12(a + b + c)
=(a * 12 + b * 12 + c * 12)
=(12a + 12b + 12c)
5) Solve the problem using distributive property 7(a + c + b)
Solution:
=7(a + b + c)
=(a * 7 + b * 7 + c * 7)
=(7a + 7b + 7c)
Distributive Property Example Problems Part - 2:
6) Solve the problem using distributive property -10(3 + 2 + 7x)
Solution:
-10(3 + 2 + 7x)
Combine like terms: 3 + 2 = 5
-10(5 + 7x)
(5 * -10 + 7x * -10)
(-50 + -70x)
7) Solve the problem using distributive property -1(3w + 3x + -2z)
Solution:
=-1(3w + 3x + -2z)
=(3w * -1 + 3x * -1 + -2z * -1)
=(-3w + -3x + 2z)
8) Solve the problem using distributive property 1(-2 + 2x2y3 + 3y2)
Solution:
=1(-2 + 2x2y3 + 3y2)
=(-2 * 1 + 2x2y3 * 1 + 3y2 * 1)
=(-2 + 2x2 y3 + 3y2)
9) Solve the problem using distributive property 5(5 + 5x)
Solution:
=5(5 + 5x)
=(5 * 5 + 5x * 5)
=(25 + 25x)
10) Solve the problem using distributive property y(1 + x)
Solution:
=(y + yx)
=(y + xy)
11) Solve the problem using distributive property 5(x + 10).
Solution:
=5( x + 10)
=(5* x + 5 * 10)
=(5x + 50)
