Modeling Equations

Front

What is an equation?

Back

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

Front

What does it mean to solve for x?

Back

To solve for x means to find the value of the variable x that makes the equation true.

Front

What is the solution to the equation 2x = 8?

Back

x = 4

Front

What is the first step in solving the equation 3x = 27?

Back

Divide both sides of the equation by 3.

Front

What is the value of x in the equation x + 5 = 12?

Back

x = 7

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the equation represented by the statement 'three times a number is equal to 12'?

Back

3x = 12

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the solution to the equation 5x - 10 = 0?

Back

x = 2

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can make the equation true.