2-Step Equations Word Problems (16)

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first, eliminate the constant term by adding or subtracting, then divide or multiply to solve for the variable.

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 7x + 4 = 18?

Back

The first step is to subtract 4 from both sides of the equation to isolate the term with the variable.

Front

If an equation is written as 50 + 20m = 290, what does 'm' represent?

Back

In this equation, 'm' represents the number of months Jim has paid for his gym membership.

Front

How can you check if your solution to a 2-step equation is correct?

Back

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

Front

What is the equation for the total cost if a service charges a flat fee plus a variable rate?

Back

The equation is typically written as: Total Cost = Flat Fee + (Variable Rate × Quantity).

Front

In the equation 375 = 50x + 150, what does 'x' represent?

Back

In this equation, 'x' represents the number of hours of labor charged for the car repair.

Front

What is the purpose of using variables in equations?

Back

Variables are used in equations to represent unknown values that can change, allowing us to formulate and solve problems.

Front

How do you interpret the solution of a 2-step equation in a word problem?

Back

The solution of a 2-step equation in a word problem represents the answer to the question posed, often indicating a quantity or amount.