Solving One Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, such as addition, subtraction, multiplication, or division.

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 solution to the equation 2x = 10?

Back

The solution is x = 5, found by dividing both sides of the equation by 2.

Front

What operation would you use to solve the equation x + 3 = 7?

Back

You would subtract 3 from both sides of the equation to isolate x.

Front

If x - 4 = 2, what is the value of x?

Back

x = 6, found by adding 4 to both sides of the equation.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning the operations performed on one side must also be performed on the other.

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 first step to solve the equation 5x = 25?

Back

The first step is to divide both sides of the equation by 5.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

In the equation x/4 = 3, how do you solve for x?

Back

Multiply both sides of the equation by 4 to isolate x, resulting in x = 12.