Ch 3 Exam Review. Plot the ordered pairs on the rectangular coordinate system provided. 3) A(1, 3), B(-5, 3)

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1 Ch 3 Exam Review Note: These are only a sample of the type of problems that may appear on the exam. Keep in mind, anything covered in class can be covered on the exam. Solve the problem. 1) This bar graph shows the stopping distance (in feet) for a car traveling at different speeds. Answer the question. Plot the ordered pairs on the rectangular coordinate system provided. 3) A(1, 3), B(-5, 3) Approximately how fast is the car traveling if it takes 680 feet to stop? 100 ft/sec 2) In a school survey, students showed these preferences for instructional materials. Answer the question. About how many students would you expect to prefer computers in a school of 00 students? About 1 students 1

2 ) A(3, 6), B(6, -3) 7) (3, -12) Quadrant IV Identify the quadrant with the given condition. 8) The second coordinate is negative. III and IV Decide whether or not the ordered pair is a solution to the equation. 9) x + y = 5; (2, 3) Yes 10) y = -8; (-6, 6) No Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. 11) y = x + 5; (1, 6), (-1, ) Find the coordinates of the labeled points. 5) Show that (1, 6) is a solution: y = x =? =? 6 TRUE Show that (-1, ) is a solution: y = x + 5 =? =? TRUE Coordinates of the additional solution may vary but should satisfy y = x + 5. A(5, 5); B(-7, 6) Determine the quadrant in which the point is located. 6) (-6, 10) Quadrant II 2

3 Graph the equation. 12) y = x - 13) 2x - y = -6 3

4 1) y = 1 5 x Find the equation for the graph. 16) y = x - 6 Find the coordinates of the y-intercept and the coordinates of all x-intercepts. 17) Solve by graphing. 15) The cost, c, in dollars of a car rental is c = m, where m is the number of miles driven. Use a graph to estimate the cost of a car rental if the number of miles driven is ) (0, -7), (-2, 0) About 17 dollars (0, -1), (6, 0)

5 Find the intercepts for the equation. 19) 2x + y = -10 (-5, 0), (0, -10) 22) x + y = 5 20) -x - 2y = - (1, 0), (0, 2) Find the x- and y-intercepts for the equation. Then graph the equation. 21) 20y - x = -8 (0, 5), (5, 0) 0, - 2 5, 2, 0 5

6 Graph the equation. 23) 8x = -56 2) 5 + 5y = 0 Write an equation for the graph. 25) y = 2 Identify the missing units for the given rate. 26) If a student drove 38 miles in 6 hours, his average rate was 6. miles per hour, or miles/hour 6

7 Solve the problem. 27) To the nearest dollar, the average tuition at a public four-year college was $3052 in 1997 and $329 in Find, to the nearest dollar per year, the rate at which tuition was increasing. $66 per year Find the slope of the line, or state that the slope is undefined if appropriate. 31) 28) Angie walks 21 feet in 3 seconds towards the front of a train that is moving at 70 feet per second. What is Angie's rate of travel with respect to the land? 77 ft/sec 29) The following graph shows data for a recent train ride from New York to Toronto. At what rate did the train travel? Find the slope of the line containing the given pair of points. If the slope is undefined, state so. 32) (8, -5) and (-1, -7) ) (-9, 6) and (2, 6) 0 Time of Day (PM) 60 miles per hour Use the graph to solve the problem. 30) Find the rate of change of Simone's salary. 3) (8, -7) and (8, 7) Undefined Find the slope of the line. If the slope is undefined, state so. 35) x = - Undefined $3000 per year 7

8 Draw a line that has the given slope and y-intercept. 36) Slope 1 ; y-intercept (0, ) 37) Slope - 2; y-intercept (0, 2) Find the slope and the y-intercept of the line. 38) x + 3y = ; (0, 3 3 ) 39) y = 15 x ; (0, -3) 0) y - 6 = 8 0; (0, 1) Find the slope-intercept equation for the line with the indicated slope and y-intercept. 1) Slope ; y-intercept 0, 5 5 y = x

9 2) Slope 1 ; y-intercept (0, 3) 2 ) y = x - 5 y = 1 2 x + 3 Graph the linear equation. 3) -5x - 15y = 5 Determine whether the pair of equations represents parallel lines. 5) 3x - y = 6 8x + 6y = 6 No Determine whether the pair of equations represents perpendicular lines. 6) 3x - y = -12 8x + 6y = -12 Yes Write a slope-intercept equation of the line whose graph is described. 7) Parallel to the graph of 6x + 5y = 1; y-intercept (0, 5) y = x + 5 Find an equation in point-slope form of the line having the specified slope and containing the point indicated. 8) m = 6; (, 3) y - 3 = 6(x - ) 9

10 9) m = -3 ; (-2, -3) y + 3 = -3 (x + 2) Graph the specified line. 5) The line with slope 3 point (, 1) that passes through the Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. 50) m = -3; (-8, 6) y = -3x ) m = 1.1; (7, -2) y = 1.1x Write an equation of the line containing the specified point and parallel or perpendicular, as indicated, to the given line. Write your final answer in slope-intercept form. 52) (2, 6), parallel to y = -x - 1 y = -x ) (5, -5), perpendicular to y = 1 8 x + y = - 8x

11 Graph the line. 55) y + 1 = (x + ) Find an equation of the line containing the given pair of points. Write your final answer in slope-intercept form. 56) (-1, 3) and (-, -6) y = 3x ) (7, -6) and (3, -1) y = - 5 x