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PRE ALGEBRA EXPRESSIONS - Distributive Property

The distributive property is used in Algebra to remove brackets and solve the problem.

When using the distributive property you may multiply both negative and positive numbers; to do so, use the rules for multiplying with negative and positive numbers

Distributive Property
Practice Solving Algebra Expressions with Distributive Property:

FYI - negative x negative = positive
negative x positive = negative

2(3x + 5y) =

2(6a + 6b - 12c) =

-4(4p - 6r -3s) =

6(3x + 2y) =

4(r - 8) =

2(a + 4b - 5c) =

-2(6a - 7b + 6c) =






ANSWERS With Explanations

2(3x + 5y) = 6x + 10y
Multiply what's outside the bracket by the numbers inside the brackets

2(6a + 6b - 12c) = 12a + 12b - 24c

-4(4p - 6r -3s) = -16p -(-24r) - (-12s) = -16p + 24r + 12s
A minus negative sign becomes a positive sign, because in Algebra when we subtract, we add

6(3x + 2y) = 18x + 12y

4(r - 8) = 4r -32

2(a + 4b - 5c) = 2a + 8b - 10c

-2(6a - 7b + 6c) = -12a - (-14b) -12c = -12a + 14b - 12c
A minus negative sign becomes a positive sign

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