Linear Equation Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes 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

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What is the formula to calculate the average rate?

Back

Average rate = Total time / Number of people.

Front

If a restaurant takes 12 minutes to serve 2 people, what is the average time per person?

Back

Average time per person = 12 minutes / 2 people = 6 minutes per person.

Front

How do you set up a linear equation for total sales?

Back

Use the formula: Total Sales = (Price of item 1 * Quantity of item 1) + (Price of item 2 * Quantity of item 2).

Front

What is the first step to solve a linear equation?

Back

Isolate the variable on one side of the equation.

Front

How do you find the number of items sold if you know the total sales and price per item?

Back

Use the equation: Total Sales = Price per item * Number of items sold, and solve for the number of items.

Front

What does it mean for a plane to descend at a constant rate?

Back

It means the plane decreases its altitude by the same amount every minute.