What does it mean to simplify an expression?

What does it mean to simplify an expression?

• A. To multiply all terms by the same factor.
• B. To reduce it to its simplest form by combining like terms and eliminating unnecessary elements.
• C. To rewrite it using fractions.
• D. To substitute numbers for variables.

Answer: (B)

Simplifying an expression means reducing it to the smallest, most straightforward form by combining like terms and removing parts that don’t change the value. Like terms are terms that have the same variable raised to the same power, such as 3x and 5x or 2x^2 and 7x^2. When you combine like terms, you add or subtract their coefficients to get a single term, for example 3x + 5x becomes 8x, and 2x^2 + 7x^2 becomes 9x^2. Elimination of unnecessary elements includes simplifying fractions and removing parentheses when possible, so something like 2(3x+4) can be rewritten as 6x+8. Substituting numbers for variables is evaluating the expression, not simplifying it, and multiplying every term by the same factor changes the expression’s value rather than reducing it.

Simplifying an expression means reducing it to the smallest, most straightforward form by combining like terms and removing parts that don’t change the value. Like terms are terms that have the same variable raised to the same power, such as 3x and 5x or 2x^2 and 7x^2. When you combine like terms, you add or subtract their coefficients to get a single term, for example 3x + 5x becomes 8x, and 2x^2 + 7x^2 becomes 9x^2. Elimination of unnecessary elements includes simplifying fractions and removing parentheses when possible, so something like 2(3x+4) can be rewritten as 6x+8. Substituting numbers for variables is evaluating the expression, not simplifying it, and multiplying every term by the same factor changes the expression’s value rather than reducing it.