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This pre-algebra math tutorial from NutshellMath offers targeted homework help on solving problems using the distributive property. The instruction is focused on problems 32, 34 and 35 on page 29 of the Pre-Algebra: An Integrated Transition to Algebra and Geometry text from Glencoe / McGraw Hill. The distributive property is that which explains how to evaluate the product of two terms, one of which is a sum or difference in parentheses. The property holds that the product of a number and an expression in parentheses equals the product of that number and each of the terms in the expression inside the parentheses. Homework problems such as those covered in this tutorial will involve simplifying algebraic expressions by removing parentheses.


To use the distributive property to simplify an expression, first 'distribute' the factor outside the parentheses over to each term inside the parentheses. The new products are added or subtracted depending on the signs within the parentheses previously. Once all parentheses in an expression are eliminated, it is possible to collect like terms to simplify.

Simplifying algebraic expression using the distributive property is an essential skill in algebra. Homework problems in this section will focus on applying the distributive property to algebraic expressions involving parentheses. The examples in this tutorial reinforce the use of the distributive property to simplify algebraic expressions.