Practice Linear Functions in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A function whose graph is a straight line, characterized by a constant rate of change between any two points.
Every step right changes by the same amount—like climbing stairs at a constant pace.
Showing a random 20 of 50 problems.
Example 1
hardFind the intersection of and .
Example 2
hardFor what value of does the line pass through the point ?
Example 3
easyFor , find .
Example 4
mediumFind the equation of the line through and .
Example 5
mediumFind the slope between and .
Example 6
hardConvert to slope-intercept form.
Example 7
hardA car's distance from home (in miles) is where is hours after noon. How far is the car at pm?
Example 8
easyFind the -intercept of .
Example 9
mediumThe points and lie on a line. Write its slope-intercept equation.
Example 10
challengeLines and intersect where?
Example 11
mediumConvert to slope-intercept form.
Example 12
mediumWrite the equation of the line through with slope .
Example 13
easyA line has slope and -intercept . Write its equation.
Example 14
mediumA plumber charges $50 plus $30/hour. Write the cost function .
Example 15
easyDoes describe a line?
Example 16
easyWhat is the -intercept of ?
Example 17
mediumWhere does cross the -axis?
Example 18
easyWhat is the slope of a vertical line?
Example 19
easyWhat is the slope of the line ?
Example 20
mediumA taxi charges $3 to start and $2 per mile. Write a linear function for the total cost after miles.