6.EE.3-4 Flashcard

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 factor the expression 9x + 12?

Back

You can factor out the greatest common factor, which is 3, resulting in 3(3x + 4).

Front

What is the factored form of the expression 5x - 25?

Back

The factored form is 5(x - 5), where 5 is the greatest common factor.

Front

How do you simplify the expression x + 3x + 6x + x?

Back

Combine like terms: 1x + 3x + 6x + 1x = 11x.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and applying the distributive property to make the expression as concise as possible.

Front

What is the greatest common factor (GCF) of the terms in the expression 24k - 36y?

Back

The GCF of 24k and 36y is 12, which can be factored out to give 12(2k - 3y).

Front

How can you determine if an expression is not equivalent to another?

Back

To determine if an expression is not equivalent, you can evaluate both expressions for the same values of the variables and check if the results differ.

Front

What is the result of applying the distributive property to 5(2f + 4)?

Back

Applying the distributive property gives 10f + 20.

Front

What is a common mistake when factoring expressions?

Back

A common mistake is failing to factor out the greatest common factor, which can lead to incorrect simplifications.