Solving Simple Equations

Front

What is a simple equation?

Back

A simple equation is a mathematical statement that asserts the equality of two expressions, typically involving one variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 10n = 80?

Back

Divide both sides of the equation by 10 to isolate n.

Front

What does it mean to solve for a variable?

Back

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

Front

In the equation 25 + b = 97, how do you find the value of b?

Back

Subtract 25 from both sides of the equation to isolate b.

Front

What is the solution to the equation 5g = 20?

Back

Divide both sides by 5 to find g = 4.

Front

How can 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 purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, helping to isolate it.

Front

What is the solution to the equation x/6 = 8?

Back

Multiply both sides by 6 to find x = 48.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that any operation performed on one side of the equation must also be performed on the other side to keep the equality true.