Equations with Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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 first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if necessary, by combining like terms.

Front

What does it mean for two expressions to be equal?

Back

Two expressions are equal when they have the same value for the same variable.

Front

How do you solve an equation with variables on both sides?

Back

You can solve an equation with variables on both sides by moving all terms involving the variable to one side and constant terms to the other side.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How do you interpret the y-intercept in a linear equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

What is the purpose of using equations in real-life applications?

Back

Equations help model real-life situations, allowing us to make predictions and decisions based on mathematical relationships.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.