Distributing, Factoring and combining like terms

Front

What is the process of distributing in algebra?

Back

Distributing in algebra involves multiplying a single term by each term inside a set of parentheses. For example, in the expression 5(n + 3), you would multiply 5 by both n and 3, resulting in 5n + 15.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients. For example, in the expression 7y - 3y, you combine them to get 4y.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest factor that two or more numbers share. It is used in factoring expressions to simplify them.

Front

How do you factor an expression using the GCF?

Back

To factor an expression using the GCF, first identify the GCF of all the terms in the expression, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

What is the result of simplifying the expression 5(n + 3) + 4n?

Back

The result is 9n + 15.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and perform any operations to reduce the expression to its simplest form.

Front

What is the result of simplifying the expression 7y + 8n - 3y - 6 + 9?

Back

The result is 4y + 8n + 3.

Front

How do you simplify the expression 7y^2 - 5y + 9y - 5y^2?

Back

Combine like terms: 7y^2 - 5y^2 + (-5y + 9y) = 2y^2 + 4y.

Front

What is the first step in factoring the expression 63p - 18?

Back

The first step is to find the GCF of the coefficients 63 and 18, which is 9.

Front

What is the factored form of the expression 16x + 56y using the GCF?

Back

The factored form is 8(2x + 7y).