Understanding Coefficients and Variables

Front

What is a variable in mathematics?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an expression or equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

What does the term 'constant' mean in mathematics?

Back

A constant is a fixed value that does not change. For example, in the expression 5x + 8, the number 8 is a constant.

Front

What is the invisible number that accompanies a variable like x?

Back

The invisible number is 1, meaning that x is equivalent to 1x.

Front

Identify the coefficient in the expression 7y + 3.

Back

The coefficient is 7.

Front

In the equation 4x - 2 = 10, what is the coefficient of x?

Back

The coefficient of x is 4.

Front

What is the difference between a coefficient and a constant?

Back

A coefficient is a number that multiplies a variable, while a constant is a fixed value that does not change.

Front

What does it mean for terms to be 'like terms'?

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 identify the coefficient in a term like -2x?

Back

The coefficient is -2.

Front

What is the role of variables in algebraic expressions?

Back

Variables represent unknown values and allow for the formulation of general rules and relationships in mathematics.