Distributing a Positive

• First, identify the terms inside the parentheses. These go on top of the area model.

• Next, identify the number you are distributing. This goes on the short side of the area model.

• Last, multiply each term from inside the parentheses by the term your are distributing.

Distributing a Negative

• First, identify the terms inside the parentheses. These go on top of the area model.

• Next, identify the number you are distributing. This goes on the short side of the area model.

• Last, multiply each term from inside the parentheses by the term your are distributing.

Distribute and Combine Like Terms

• First, apply the distributive property.

• Then, combine like terms.

​First, choose a number to substitute for x. Use the same number in both expressions. Then, solve.

​Use substitution to determine if the expressions are equivalent.

In this example, x=2. Because both expressions equal the same solution, they are equivalent.

First, choose a value to substitute for the variable.

Then, solve each expression.​

In this case, the expressions do NOT have the same solution, so the expressions are not equivalent.

Practice

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