Simplifying Expressions

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 3y, 3 is the coefficient.

Front

What is the constant term in the expression 5x - 9?

Back

The constant term is -9, as it does not contain any variables.

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, 2x + 3x = 5x.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing any operations to reduce it to its simplest form.

Front

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

Back

The simplified expression is 6x - 3.

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a term by each term inside parentheses. For example, -2(3y - 5) becomes -6y + 10.

Front

What is the coefficient of x in the expression 12x - 7 + 4x?

Back

The coefficient of x is 16, as you combine 12x and 4x.

Front

What is the simplified form of -2(3y - 5)?

Back

The simplified form is -6y + 10.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol that represents an unknown value (e.g., x), while a constant is a fixed value (e.g., 5).