One-Step and Two-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 step, typically by performing an inverse operation to isolate the variable.

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two steps to solve, usually involving two inverse operations to isolate the variable.

Front

How do you solve the equation 6b = 30?

Back

To solve 6b = 30, divide both sides by 6 to get b = 5.

Front

What is the solution to the equation x + 12 = 20?

Back

To solve x + 12 = 20, subtract 12 from both sides to get x = 8.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation 2x + 10 = 16?

Back

The first step is to subtract 10 from both sides to simplify the equation to 2x = 6.

Front

What is the solution to the equation -4 = 2t - 2?

Back

To solve -4 = 2t - 2, add 2 to both sides to get -2 = 2t, then divide by 2 to find t = -1.

Front

What does it mean to perform an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

How can you represent the solution of an equation graphically?

Back

The solution of an equation can be represented graphically as the point where the graph of the equation intersects the axis corresponding to the variable.