Solving One and Two Step Equations

Front

What is a one-step equation?

Back

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

Front

What is a two-step equation?

Back

A two-step equation is an equation that requires two operations to isolate the 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 to solve the equation -6w + 1 = -11?

Back

Subtract 1 from both sides to start isolating the variable w.

Front

What is the solution to the equation 2x = 10?

Back

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

Front

What operation would you use to solve the equation x - 62 = 123?

Back

You would add 62 to both sides to isolate x.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

How do you check your solution for an equation?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 16 = p - 3?

Back

The solution is p = 19, found by adding 3 to both sides.

Front

What is the purpose of showing your work when solving equations?

Back

Showing your work helps to track your steps, verify your solution, and allows others to understand your process.