Intermediate Algebra Unit 2 Exam______ Prof. Hanson Date ________________________ Class________________________ Name___________________________________ Answer the following questions. Show all work necessary to receive partial credit. Determine if the relation illustrated is a function. Give the domain and range of the function or relation. 1) {(-2, 8), (-1, 5), (0, 4), (1, 5), (3, 13)} Evaluate the function for the indicated value. 2) f(x) = -5x - 2; find f(-2) 3) f(x) = x 2 - 5x + 7; find f(-3) 1 Graph the linear function by plotting the x- and y-intercepts. 4) -4x - 20y = 20 Graph the two equations below on the same graph. 5) x = 2 and y = -3 2 Find the slope of the line through the given points. If the slope is undefined, so state. 6) (6, 8) and (2, -5) Solve for k if the line through the two given points is to have the given slope. 7) (-2, -4) and (1, k), m = - 2 3 Determine the slope and y-intercept, and then use the slope and y-intercept to graph the equation. 8) -x + 2y = 6 Slope ________ Y-intercept__________ 3 Use the point-slope form of an equation to find the equation of a line with the given properties. Write the equation in slope-intercept form. 9) Slope = -2, through (4, 7) Two points on L1 and two points on L2 are given. Determine whether L1 is parallel to L2 , L1 is perpendicular to L2 , or neither. (You must use the slope formula) 10) L1 : (1, -1), (6, 1); L2 : (3, -2), (-7, -6) Find the equation of a line with the properties given. Write the equation in the form indicated. 11) Through (4, -3) and parallel to the line whose equation is y = -3x + 7; slope-intercept form Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state. 12) y = -x - 6 y=x-2 4 Find the solution to the system of equations by substitution. 13) 9x + y = 0 -9x + y = -18 Solve the system of equations using the addition method. 14) 3x + 2y = -9 -3x - 9y = 51 5
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