Solving Equations - Flashcard

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 does the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that we are trying to solve for in an equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution of the equation x + 5 = 12?

Back

x = 7

Front

What does it mean if x = 4 is NOT a solution to an equation?

Back

It means that when you substitute 4 for x in the equation, the equation does not hold true.

Front

What is the first step in solving the equation 2x - 3 = 5?

Back

Add 3 to both sides of the equation.

Front

What does the variable represent in the equation 3x = 12?

Back

The variable 'x' represents the number that, when multiplied by 3, equals 12.

Front

What is the solution to the equation 5x = 25?

Back

x = 5

Front

What is a coefficient in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.