Two-Step Equation 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 the reverse order of how they are applied.

Front

What is the first step in solving the equation 60x + 1,000 = 5,000?

Back

Subtract 1,000 from both sides of the equation.

Front

In the equation 5x + 200 = 450, what does 'x' represent?

Back

In this context, 'x' represents the number of reams of paper purchased.

Front

What is the purpose of setting up an equation for a word problem?

Back

The purpose is to translate the problem into a mathematical form that can be solved to find the unknown.

Front

What does the term 'base salary' refer to in a word problem?

Back

Base salary refers to the fixed amount of money earned before any additional earnings or commissions.

Front

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

Back

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

Front

What does the equation 4m + 7 = 60 represent in a word problem?

Back

It represents a situation where seven more than four times a number m equals sixty.

Front

What is the significance of the initial fee in a rental problem?

Back

The initial fee is a fixed cost that must be paid before any additional charges are incurred.

Front

How do you determine the total cost in a word problem involving hourly rates?

Back

Total cost is calculated by adding the initial fee to the product of the hourly rate and the number of hours.