Linear equation word problems practice

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 represent in a linear equation?

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

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and translate the words into a mathematical equation.

Front

What is the equation for total cost including a fixed fee and a variable fee?

Back

The equation is y = mx + b, where y is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed fee.

Front

If a meal costs $12.50 per person and has a $30 delivery fee, what is the equation for the total cost for x people?

Back

y = 12.5x + 30.

Front

How do you find the total cost after a certain number of months with a startup fee and monthly fee?

Back

Use the equation y = mx + b, where m is the monthly fee, x is the number of months, and b is the startup fee.

Front

In a problem involving sales, how do you set up an equation for total revenue?

Back

Total revenue can be calculated using the equation R = px + qy, where p and q are the prices of the items, and x and y are the quantities sold.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change or the amount of change in the dependent variable for each unit change in the independent variable.

Front

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

Back

Divide the total revenue by the price per item.