AC/AP 4.3 Flashcard: 2-Step Equation Word Problems

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. For example, in the equation x + 5 = 10, you would first subtract 5 from both sides, then solve for x.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation. For example, if you have x + 3 = 7, you subtract 3 from both sides to get x = 4.

Front

What does it mean to solve a word problem?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving that equation to find the answer.

Front

What is the first step in solving a word problem involving money?

Back

The first step is to identify the total amount of money involved and the fixed costs or variables that affect the total.

Front

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

Back

Identify the unknown variable, define it, and then translate the relationships described in the problem into a mathematical equation.

Front

What is a fixed cost in a rental scenario?

Back

A fixed cost is a cost that does not change regardless of the amount of service used. For example, a rental fee that is charged regardless of how long an item is rented.

Front

How do you calculate the total cost in a rental problem?

Back

Total cost = Fixed fee + (Hourly rate × Number of hours rented).

Front

What is the significance of the total in a word problem?

Back

The total represents the final amount after all calculations and is often the answer to the problem.

Front

How do you determine the number of items bought in a word problem?

Back

Set up an equation where the total cost equals the cost per item multiplied by the number of items, then solve for the number of items.

Front

What is the relationship between addition and subtraction in solving equations?

Back

Addition and subtraction are inverse operations; you can use one to undo the other when solving equations.