Solving Unknowns in Equations

Front

What is an equation?

Back

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

Front

What does it mean to solve for an unknown in an equation?

Back

To solve for an unknown means to find the value of a variable that makes the equation true.

Front

What is the first step in solving the equation 5x + 14 = 40?

Back

The first step is to isolate the variable term by subtracting 14 from both sides of the equation.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What is the solution to the equation 6x = 48?

Back

The solution is x = 8, found by dividing both sides by 6.

Front

If 4x + 9 = 29, what is the value of x?

Back

The value of x is 5, found by subtracting 9 from both sides and then dividing by 4.

Front

What is the purpose of using variables in equations?

Back

Variables are used to represent unknown values that can change or vary in mathematical expressions.

Front

How can you represent the problem 'A bus has 24 students, and 3 get off at each stop' as an equation?

Back

You can represent it as 24 - 3n = 0, where n is the number of stops.

Front

What is the value of n in the equation 24 - 3n = 0?

Back

The value of n is 8, found by solving the equation.

Front

What does the term 'isolate the variable' mean?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side by itself.