Solving 2 Step Equations (Word Problems)

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the solution to the equation 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

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

Back

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

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 3, -5, or 150.

Front

In the equation 50 + 20m = 290, what does 'm' represent?

Back

In this context, 'm' represents the number of months Jim has been a member of the gym.

Front

What is the total cost if a service charges a flat fee plus a variable fee per hour?

Back

The total cost can be calculated using the equation: Total Cost = Flat Fee + (Hourly Rate × Number of Hours).

Front

How do you set up an equation from a word problem?

Back

Identify the quantities involved, define variables for unknowns, and translate the relationships into an equation.

Front

What is the equation for Terry's car repair bill?

Back

The equation is 50h + 150 = 375, where h is the number of hours of labor.