Multi-Step Equations Word Problems

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations on both sides of the equation to get the variable by itself.

Front

What is the first step in solving a word problem involving a multi-step equation?

Back

The first step is to read the problem carefully and identify the variables, constants, and what is being asked.

Front

If a cell phone plan costs a base fee plus a per-minute charge, how do you set up the equation?

Back

Let x be the number of minutes. The equation would be: Total Cost = Base Fee + (Per Minute Charge * x).

Front

What does the perimeter of a rectangle represent?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

How do you find the width of a rectangle if you know the length and perimeter?

Back

Use the perimeter formula P = 2(length + width) to solve for width: width = (P/2) - length.

Front

What is the relationship between the number of students and buses in a word problem?

Back

The relationship can often be expressed as total students = (students per bus * number of buses) + students traveling separately.

Front

How do you set up an equation for a rental cost problem?

Back

Identify the fixed cost and the variable cost per unit (e.g., miles). Set up the equation as Total Cost = Fixed Cost + (Variable Cost * number of units).

Front

What is the formula to calculate the total number of items collected over time?

Back

Total Items = Initial Amount + (Rate of Collection * Time).

Front

How do you determine the number of weeks needed to collect a certain number of items?

Back

Rearrange the collection formula to solve for time: Time = (Total Items - Initial Amount) / Rate of Collection.