Solutions to Equations and Writing Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

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.

Front

What is the balance principle in equations?

Back

The balance principle states that if you perform the same operation on both sides of an equation, the equality remains true.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you need to perform inverse operations to get the variable alone on one side of the equation.

Front

What is a solution to an equation?

Back

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

Front

What does it mean for an equation to be true?

Back

An equation is true when both sides of the equation have the same value after substituting the variable.

Front

How can you check if a solution is correct?

Back

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

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What is the first step in solving the equation 10 - ? = 12 - 7?

Back

The first step is to simplify the right side: 12 - 7 = 5, so the equation becomes 10 - ? = 5.

Front

What is the equation that models Tina's work hours?

Back

The equation is 5h = 35, where h represents the number of hours worked each day.