In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

What is an inequality?

Inequalities in mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions. Inequalities are arguably used more often in “real life” than equalities. Businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials.

What is distributive property?

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Then we need to remember to multiply first, before doing the addition!

Solving Two-Step Equations

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3) Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.

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