Translating Word Problems into Equations

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width)

Front

If the length of a rectangle is five more than twice its width, how can this relationship be expressed algebraically?

Back

Length = 2(width) + 5

Front

What does it mean to translate a word problem into an equation?

Back

It means to convert the words describing a situation into a mathematical expression or equation that can be solved.

Front

How do you determine the total cost when there is a fixed fee and a variable cost per unit?

Back

Total Cost = Fixed Fee + (Cost per Unit × Number of Units)

Front

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

Back

Identify the variables and what they represent.

Front

In the equation 15x + 60 = 210, what does 'x' represent?

Back

'x' represents the number of classes Olivia signed up for.

Front

How can you express the growth of a tree over time in an equation?

Back

Growth = Final Height - Initial Height

Front

What does the term 'difference' imply in a mathematical context?

Back

It refers to the result of subtracting one number from another.

Front

How do you set up an equation for a problem involving a percentage of a number?

Back

Let 'x' be the number, then the equation can be expressed as (percentage × x) = value.

Front

What is the significance of the equation 3/2(x - 22) = 45 in a word problem?

Back

It represents a relationship where three-halves of the difference between a number and 22 equals 45.