Simplifying, Adding and Subtracting Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms and reducing the expression to its simplest form.

Front

What are like terms in an algebraic expression?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the distributive property?

Back

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

Front

How do you apply the distributive property to an expression?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses.

Front

What is the result of simplifying the expression: 3x + 2y - 5x + 4y?

Back

The result is -2x + 6y.

Front

What is the result of adding the expressions: (6a - 2b) + (3a + 4b)?

Back

The result is 9a + 2b.

Front

What is the result of simplifying the expression: 7a - 3b + 2a + 5b?

Back

The result is 9a + 2b.

Front

What is the result of applying the distributive property to: 5(3a - 2b)?

Back

The result is 15a - 10b.

Front

What is the result of adding the expressions: (4x + 3y) + (2x - 5y)?

Back

The result is 6x - 2y.