Simplifying Expressions

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms.

Front

How do you simplify the expression 3x + 2x?

Back

You combine the like terms to get 5x.

Front

What is the result of simplifying the expression 5y + 7y?

Back

The result is 12y, obtained by adding the coefficients 5 and 7.

Front

What is the first step in simplifying the expression 4a + 2b - 3a + b?

Back

The first step is to combine like terms: (4a - 3a) + (2b + b).

Front

What is the simplified form of the expression 4a + 2b - 3a + b?

Back

The simplified form is a + 3b.

Front

How do you distribute in the expression 3(2y + 5)?

Back

You multiply each term inside the parentheses by 3, resulting in 6y + 15.

Front

What is the result of simplifying the expression 2(3x + 4)?

Back

The result is 6x + 8, obtained by distributing 2 to both terms inside the parentheses.

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 in a sum.

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 applying the distributive property.