This worksheet provides students with practice in simplifying algebraic expressions using the distributive property and combining like terms. It includes an example to guide students and 10 expressions for them to simplify independently.

For example, to simplify the expression 5(4 - 2x) + 15x, apply the distributive property to the term 5(4 - 2x). This results in 5(4) - 5(2x), which simplifies to 20 - 10x. Now, the expression becomes 20 - 10x + 15x. Next, combine the like terms -10x and 15x. Since these terms both include the variable x, they can be combined by adding their coefficients: -10 + 15, which gives 5x. Therefore, the simplified expression is 20 + 5x.