Equations Word Problems

Front

What is the formula for calculating the total cost of a taxi ride based on distance traveled?

Back

Total Cost = Base Fare + (Cost per Mile × Number of Miles)

Front

How do you represent a scenario where a service has a fixed charge plus a variable charge based on time or quantity?

Back

Use the equation: Total Cost = Fixed Charge + (Variable Charge per Unit × Number of Units)

Front

What does the equation 2x - 5 = 47 represent in a word problem context?

Back

It represents a situation where five less than twice a number equals 47.

Front

How can you express '10 less than half a number' mathematically?

Back

1/2x - 10

Front

What is the first step to solve the equation 7x + 35 = 63?

Back

Subtract 35 from both sides to isolate the term with x.

Front

What does the variable 'x' typically represent in algebraic equations?

Back

It represents an unknown quantity that we are trying to solve for.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the significance of the base fare in a taxi charge equation?

Back

It is the initial cost that is charged regardless of the distance traveled.

Front

In the equation 24 - 7p = 10, what does 'p' represent?

Back

'p' represents the number of hours or units related to the variable cost.

Front

What is the process to check if your solution to an equation is correct?

Back

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