Writing Equations from Models

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to write an equation from a model?

Back

Writing an equation from a model involves translating a visual representation (like shapes or diagrams) into a mathematical equation that describes the relationship shown.

Front

What does the equation 3x = 8 represent?

Back

It represents a situation where three times a variable x equals 8.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation x - 3 = 9?

Back

The solution is x = 12.

Front

What does the equation 3x - 2 = 1 mean?

Back

It means that three times a variable x, minus 2, equals 1.

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.

Front

What is the significance of the number 1 in equations like 3x = 6?

Back

The number 1 can represent a single unit or quantity, and in equations, it helps to balance the equation when solving for x.

Front

What does the equation 7 = x + (-3) represent?

Back

It represents a situation where 7 equals a variable x decreased by 3.

Front

What is the first step to solve the equation 3x = 6?

Back

The first step is to divide both sides of the equation by 3.