Modeling/Solving 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 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 purpose of isolating a variable in an equation?

Back

Isolating a variable helps to find its value by getting it alone on one side of the equation.

Front

What is the first step to solve the equation x + 7 = 12?

Back

Subtract 7 from both sides.

Front

If 3x = 6, what is the value of x?

Back

x = 2.

Front

What operation would you use to solve the equation 2x = 4?

Back

Divide both sides by 2.

Front

What is the solution to the equation x - 6 = 13?

Back

x = 19.

Front

In the equation x + 6 = 13, what is being done to x?

Back

6 is being added to x.

Front

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

Back

x = 2.

Front

What does it mean to check your solution in an equation?

Back

To check your solution means to substitute the value back into the original equation to verify it makes the equation true.