Simplifying Expressions

Front

What is the process of factoring an expression?

Back

Factoring an expression involves rewriting it as a product of its factors, which can simplify the expression and make it easier to solve.

Front

How do you factor the expression 2x + 18?

Back

You can factor 2x + 18 by taking out the common factor of 2, resulting in 2(x + 9).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Simplify the expression: 6 + 2(7x - 3). What is the first step?

Back

The first step is to apply the distributive property: 2(7x - 3) becomes 14x - 6.

Front

What is the simplified form of 6 + 2(7x - 3)?

Back

The simplified form is 14x + 6.

Front

How do you simplify the expression 3(2x + 7)?

Back

You apply the distributive property: 3(2x + 7) becomes 6x + 21.

Front

What does it mean if an expression cannot be factored?

Back

If an expression cannot be factored, it means there are no common factors or it is already in its simplest form.

Front

Factor the expression 7x + 48y. What is the result?

Back

The expression 7x + 48y cannot be factored further.

Front

What is the result of the expression 3y + -3y - 6 + 3?

Back

The result is -3, as 3y and -3y cancel each other out.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions evenly.