Simplifying Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you simplify the expression 5(6x + 3)?

Back

By applying the distributive property, you multiply 5 by both 6x and 3, resulting in 30x + 15.

Front

What is the process to factor the expression 12a + 9b?

Back

To factor 12a + 9b, find the greatest common factor (GCF), which is 3, and rewrite it as 3(4a + 3b).

Front

How can you express 4a + 3b using addition?

Back

4a + 3b can be expressed as a + a + a + a + b + b + b.

Front

What is the result of combining like terms in the expression 7z - 4 + 5z + 2?

Back

Combining like terms gives you 12z - 6.

Front

How do you simplify the expression 6n + 12?

Back

You can rewrite 6n + 12 as 5n + 9 + n + 3 by grouping terms.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

What is the first step in simplifying an algebraic expression?

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The first step is to identify and combine like terms.

Front

What does it mean to factor an expression?

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Factoring an expression means rewriting it as a product of its factors, often to simplify or solve equations.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share.