Lesson 1.8 - An Introduction to Equations

Front

What is an open equation?

Back

An open equation is an equation that contains one or more variables and can have multiple solutions.

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation are equal for a specific value of the variable.

Front

What does it mean for an equation to be false?

Back

An equation is false when both sides of the equation are not equal for any value of the variable.

Front

How do you find the solution of an equation?

Back

To find the solution of an equation, isolate the variable on one side of the equation.

Front

What is a solution in the context of equations?

Back

A solution is a value that, when substituted for the variable, makes the equation true.

Front

What is the first step in solving a simple equation?

Back

The first step is to simplify both sides of the equation if necessary.

Front

What is the importance of checking your solution?

Back

Checking your solution ensures that the value satisfies the original equation.

Front

What does it mean to verify a solution?

Back

To verify a solution means to substitute it back into the original equation to see if it holds true.

Front

What is a variable in an equation?

Back

A variable is a symbol used to represent an unknown value in an equation.

Front

What is the difference between a solution and a root of an equation?

Back

A solution is a value that satisfies the equation, while a root specifically refers to solutions of polynomial equations.