Practice Distributive Property in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Multiplication distributes over addition: a(b + c) = ab + ac, linking two operations together.

Three packs of (2 red + 4 blue) = (3 \times 2 red) + (3 \times 4 blue) = 6 red + 12 blue.

Example 1

easy
Expand 4(x + 7).

Example 2

medium
Expand and simplify 3(2x - 5) + 2(x + 4).

Example 3

medium
Expand -2(3a - 4b + 1).

Example 4

easy
Use the distributive property to compute 6 \times 48 mentally.