Math 8 Linear Equations

Front

What is a linear equation?

Back

Front

What does it mean if an equation has infinitely many solutions?

Back

Front

What is the slope-intercept form of a linear equation?

Back

Front

How do you determine if two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.

Front

What does it mean if an equation has no solution?

Back

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, which may include combining like terms and eliminating parentheses.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting the variable alone on one side of the equation.

Front

What does it mean to 'cancel' a variable in an equation?

Back

To 'cancel' a variable means to eliminate it from both sides of the equation, often leading to a simpler equation.

Front

What is the significance of the y-intercept in a linear equation?

Back

Front

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

Back

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