Modeling Equations

Front

What is a variable in an equation?

Back

A symbol that represents an unknown value, often denoted by letters like x, y, or z.

Front

What does it mean to model an equation?

Back

To create a mathematical representation of a real-world situation using variables and constants.

Front

What is the equation for finding the value of x in 2x - 7 = 9?

Back

x = 8.

Front

What is the solution to the equation 3x = 6?

Back

x = 2.

Front

What does the equation B + 3 = 6 represent?

Back

It shows that when 3 is added to B, the result is 6.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation.

Front

What is the first step to solve the equation 4x + 3 = 5x?

Back

Subtract 4x from both sides to get 3 = x.

Front

What does the equation 2C = 8 tell us about C?

Back

C equals 4.

Front

What is the purpose of using equations in problem-solving?

Back

To find unknown values and relationships between quantities.

Front

What is the meaning of the term 'constant' in an equation?

Back

A fixed value that does not change, such as numbers like 3 or -7.