Checking Solutions to Equations Check

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is a solution to an equation?

Back

A solution to an equation is a value of the variable that makes the equation true.

Front

How do you check if a value is a solution to an equation?

Back

To check if a value is a solution, substitute the value into the equation and see if both sides are equal.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can make the equation true.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, often represented by a number.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.