# Intermediate Algebra Problems With Answers - Sample 2

 A set of intermediate algebra problems, with answers, are presented. The solutions are at the bottom of the page. Line L passes through the points (1,3) and (-3,4). a) Fine the slope of line L. b) Find the y-intercept of L. c) Find the x-intercept of L. d) Find b so that line L passes through the point (-4,b). The graph of function f is shown below. a) Find the domain of f. b) Find the range of f. c) Find f(0), f(1) and f(2). d) Find all values of x for which f(x) = 5. . The graph of line segment AB is shown below. a) Use the graph to find the coordinates of points A and B. b) Find the length of the line segment AB. c) Find the midpoint of the line segment AB. . Line L1 passes through the point (1 , b) as shown below. Find the equation of line L2 that passes through point A and is perpendicular to line L1. . Are the two lines L1 through the points (-1,4) and (0,4) and L2 through the points (5,6) and (5,2) parallel, perpendicular or neither. Explain your answer. Find all values of the constant K so that the inequality 5(x - K + 2) ≥ 2(x + 4) - 7 has a solution set given by the interval [10 , + infinity). Linda walked for 2 hours then ran for 1 hour. If she runs three times as fast as she walks and the total trip was 20 kilometers, then how fast does she run? Each pair of the three lines defined by their equations y = (1/2) x - 1, y = 2x + 2 and y = -x + 2 has a point of intersection so that when put together there are three points of intersection making a triangle ABC. Show that triangle ABC is isosceles.