## 10.4 Distributive Property

The distributive property is a way to write the product of a number and a sum as the sum of two things.

example:

In today's class, you will see how we can solve equations where the distributive property can be used to convert the equation into a two step problem.  We can also solve the equations using reverse order of operations using the two steps of "multiplication" followed by a "bracket".

Resources:

• Notes

Assignment:

• p398 #4, 6, 8-13

## 10.3 Solving Equations in Two Steps

Last class you solved equations where you had to deal with a coefficient on the x. Today, you will be solving similar problems, except that the variable has been divided by something, so we are getting rid of a denominator.  Note that dividing by a number is the same as multiplying by a reciprocal, so dividing by a number is the same as having a coefficient that is a fraction.

For example, consider the equation:

.  This could also be thought of as

• Resources:

Notes

Assignment

• p392

Things you should be able to do after today:

• Solve equations of the type by reverse order of operations

## 10.0 Translating Math

Algebra is a branch of mathematics that works with variables and expressions.  We started looking at expressions and equations when we were working with linear relationships. Today, we will start looking at math as a language, and trying to intepret how english phrases can be converted to mathematical expressions.

Things you should be able to do after today:

• evaluate expressions by using a substitution step
• translate simple phrases to expressions using variables

Vocabulary:

• coefficent
• variable
• constant
• expression
• equatoin

Resources:

• Notes

Assignment:

• Worksheet: Evaluating Expressions
• Worksheet: Translating Engish to Expressions