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 solve for the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step to solve the equation 2(x + 5) = 8?

Back

The first step is to distribute the 2 to both terms inside the parentheses.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

What is the solution to the equation 3c + 5 = 23?

Back

The solution is c = 6.

Front

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

Back

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

Front

What is the solution to the equation 6b = 30?

Back

The solution is b = 5.

Front

What is the process to solve the equation -14 = 4x - 2?

Back

Add 2 to both sides to get -12 = 4x, then divide both sides by 4 to find x = -3.

Front

What is the importance of inverse operations in solving equations?

Back

Inverse operations are important because they allow you to undo operations and isolate the variable.