Simplifying Algebraic Expressions

Front

What is a like term in algebra?

Back

A like term is a term that has 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 the coefficients of the terms that have the same variable. For example, 4x + 3x = 7x.

Front

Simplify by combining like terms: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11

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 performing any operations.

Front

Simplify: 7t - 3t + t - 3t

Back

2t

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, which is the number multiplying the variable x.

Front

Simplify: x + 3x + 6x + x

Back

11x

Front

What is the constant term in the expression 4x^2 + 3h - g + f?

Back

There is no constant term in this expression; all terms contain variables.

Front

Simplify: m + m + m + m

Back

4m

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents a number that can change, while a constant is a fixed value that does not change.