Combining Like Terms and Simplifying Expressions 2

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

What is a constant in an algebraic expression?

Back

A constant is a term that does not contain any variables. It is a fixed value, such as -8 or 6 in the expression -x + 7x - 8 + 6 - 9x.

Front

What is the coefficient of a term in an expression?

Back

The coefficient is the numerical factor in front of a variable. For example, in the term -12x, -12 is the coefficient.

Front

How do you simplify the expression n - 10 + 9n - 3?

Back

Combine like terms: n + 9n = 10n and -10 - 3 = -13, resulting in 10n - 13.

Front

What is the simplified form of the expression -8 - 8x + 4x - 6?

Back

Combine like terms: -8 - 6 = -14 and -8x + 4x = -4x, resulting in -4x - 14.

Front

How do you simplify the expression -x + 7x - 8 + 6 - 9x?

Back

Combine like terms: -x + 7x - 9x = -3x and -8 + 6 = -2, resulting in -3x - 2.

Front

What are the steps to simplify an algebraic expression?

Back

1. Identify and group like terms. 2. Combine the coefficients of like terms. 3. Simplify any constants. 4. Write the final simplified expression.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or -5), while an expression is a combination of one or more terms (like 3x - 5 + 2y).

Front

Can you give an example of an expression with both variables and constants?

Back

An example of an expression with both variables and constants is 4x - 7 + 2y.