Linear Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when it is 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 much y changes for a one-unit increase in x.

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 for a situation where a quantity decreases over time?

Back

You write the equation in the form y = -mx + b, where m is the amount of decrease per time unit and b is the initial quantity.

Front

How do you write an equation for a situation where a quantity increases over time?

Back

You write the equation in the form y = mx + b, where m is the amount of increase per time unit and b is the initial quantity.

Front

If Sandra has a $20 gift card and spends $3 each month, what is the equation to find her remaining balance after x months?

Back

y = -3x + 20.

Front

If Jerry makes $7 per hour and has $20, what is the equation for his total money after x hours?

Back

y = 7x + 20.

Front

How do you set up an equation to find the number of items sold given total revenue?

Back

Set up the equation as total revenue = (price per item * number of items) + other income.

Front

What is the total amount Bob has in his savings account after x months if he saves $40 per month?

Back

y = 40x + 150.

Front

How do you find the point where two linear equations are equal?

Back

Set the two equations equal to each other and solve for x.