Simplifying Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms and performing operations to reduce 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, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to simplify expressions?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses and then combine like terms.

Front

What is the result of simplifying the expression 8x + 2 + 10x + 1?

Back

The result is 18x + 3.

Front

What is the result of simplifying the expression r + 10r?

Back

The result is 11r.

Front

How do you simplify the expression 4(7x + 5)?

Back

By applying the distributive property, the expression simplifies to 28x + 20.

Front

What is the result of simplifying the expression 5(2 - 7n)?

Back

The result is 10 - 35n.

Front

How do you simplify the expression 6(7 + x) + 5x?

Back

First, apply the distributive property to get 42 + 6x + 5x, then combine like terms to get 11x + 42.