Simplifying Expressions (with Distribution & Like Terms)

Front

What is the first step in simplifying the expression -\frac{2}{3}(6x+21)+13?

Back

Distribute the -\frac{2}{3} to both terms inside the parentheses.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the result of distributing -\frac{2}{3} in the expression -\frac{2}{3}(6x+21)?

Back

The result is -4x - 14.

Front

After distributing, what is the next step to simplify the expression -4x - 14 + 13?

Back

Combine like terms.

Front

What is the simplified form of the expression -4x - 14 + 13?

Back

The simplified form is -4x - 1.

Front

What is the purpose of distribution in algebra?

Back

Distribution allows you to eliminate parentheses by multiplying a term outside the parentheses by each term inside.

Front

How do you simplify the expression -\frac{1}{2}(8x+10)+9?

Back

First, distribute -\frac{1}{2} to get -4x - 5, then add 9 to get -4x + 4.

Front

What is the final simplified result of the expression -\frac{1}{2}(8x+10)+9?

Back

The final result is -4x + 4.

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power as another term.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing operations.