Write Equations From Real World Situations

Front

What is the equation to represent profit when a team charges a rental fee and a fee per service?

Back

y = 5.00x + 12.50, where y is the total profit, x is the number of car washes.

Front

What does the equation x + 5 = 24 represent in a real-world context?

Back

It represents a situation where a person had a certain number of items (x) and added 5 more to reach a total of 24.

Front

What is the total weekly pay equation for an employee with a base salary and commission?

Back

t = 750 + 0.15s, where t is total pay and s is total sales.

Front

What does the equation 74.80 = 8x represent in a real-world context?

Back

It represents the total amount earned for working a certain number of hours at a specific hourly rate.

Front

How do you calculate total earnings for a deliveryman with a daily fee and a fee per delivery?

Back

d = 10x + 40, where d is total earnings and x is the number of deliveries.

Front

What is the meaning of the term 'variable' in an equation?

Back

A variable is a symbol (like x or y) that represents an unknown value in an equation.

Front

What is a 'constant' in the context of equations?

Back

A constant is a fixed value that does not change, such as 12.50 in the profit equation.

Front

How do you interpret the slope in a linear equation?

Back

The slope represents the rate of change; for example, in y = mx + b, m is the slope.

Front

What is the purpose of writing equations from word problems?

Back

To translate real-world situations into mathematical expressions that can be solved.

Front

What does 'solving for x' mean?

Back

It means finding the value of the variable x that makes the equation true.