Independent practice Linear word problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a linear equation?

Back

The slope (m) of a linear equation is calculated as the change in y divided by the change in x (rise over run) between two points on the line.

Front

What does it mean for a value to depreciate linearly?

Back

Linear depreciation means that the value of an asset decreases by a constant amount each year.

Front

How do you calculate total cost from hourly rates?

Back

Total cost can be calculated by multiplying the hourly rate by the number of hours worked and adding any fixed fees.

Front

What is the formula for calculating profit?

Back

Profit can be calculated using the formula: Profit = Revenue - Costs.

Front

If a gym charges a startup fee and a monthly fee, how do you calculate total expenses over several months?

Back

Total expenses = Startup fee + (Monthly fee × Number of months).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What does it mean for a problem to be an application-based question?

Back

Application-based questions require students to apply mathematical concepts to real-world scenarios.

Front

How can you determine the number of items produced for a specific profit using a linear equation?

Back

Set the profit equation equal to the desired profit and solve for the number of items produced (x).