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

Front

How do you write a linear equation in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation for Sonya's lunch account if she starts with $40 and pays $2 each day?

Back

y = 40 - 2x

Front

How do you represent total charges for a rental service that charges a base fee plus a per-hour fee?

Back

The equation is y = mx + b, where m is the hourly rate and b is the base fee.

Front

What is the equation for Easy Car Rental that charges $8.50 an hour plus a rental fee of $25.50?

Back

y = 8.5x + 25.5

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

What is the equation for Speedy Boat Rental that charges a $15 deposit plus $2 for each hour?

Back

C = 2h + 15

Front

How do you write an equation for Jerry's earnings if he has $20 and makes $7 per hour?

Back

y = 7x + 20