Grima MAT 151 Chapter 2 Practice test #1-2; find an equation for the line with the given properties. Express your answer in slope intercept form. 1) Slope = -2; containing the point (2, -3) 1 2) Parallel to the line y = 3x - 2; containing the point (6,-5) 3) Write the standard form of the equation of the circle with the given radius (r) and center (h,k) then sketch a graph of the circle. r = 5 (h,k) = (2, -1) 4) Find the standard form of the equation of each circle. It may help to sketch a graph of the circle before you start your algebra. Center (3, 1) contains the point (5, 1) 5) Rewrite so that the equation is written in the standard form of a circle and sketch a graph. x2 + y2 +6x + 8y = 11 6) Find the x and y-intercepts. x2 + y = 9 7) 𝑦 = 𝑥 2 +11𝑥+10 𝑥−2 8) Find the x and y-intercepts then sketch a graph (it will be enough to label two points on your graph) 3 5 𝑥 − 2 𝑦 = 15 2 #9-10; determine the type of symmetry the graph of the equation has (if any) Make sure to perform the appropriate test to confirm your answer. (You need to show the work to get any credit. 0 points for correct answer without work.) 9) x2 = y - 4 10) y2 = 5x + 1 11) M varies inversely as the square root of n. M is 4 when n is 25. Find M when n is 16. 12) Y varies jointly as the cube of x and the square of z. Y is 144 when x is 2 and z is 3. Find Y when x is 3 and z is 2. 13) Be able to solve the candy in a theater word problem. 14) The distance (D) it takes a car to stop is directly proportional to the square of the speed (s) it is moving. A car traveling 10 miles per hour can stop in 15 feet. How long will it take a car traveling 40 miles per hour to stop? #15 – 17: Determine whether the graph is symmetric to the x-axis, y-axis, the origin, or none of these. 15) 16) 17) Answers (I didn’t have room to squeeze the graphs in. Show me your graphs to make sure they are okay.) 1) y = -2x + 1 1 2) 𝑦 = 3 𝑥 − 7 3) (x-2)2 + (y+1)2 = 25 (graph circle with center (2,-1) with radius of 5) 4) (x-3)2 + (y-1)2 = 4 5) (x+3)2 + (y+4)2 = 36 (graph circle with center (-3,-4) and radius of 6) 6) x-intercepts (-3,0) (3,0) y-intercept (0,9) 7) x-intercepts (-1,0) (-10,0) y-intercept (0,-5) 8) x int (10,0) y-int (0,-6) just plot two points and connect with a line for the graph 9) symmetric to y-axis 10) symmetric to x-axis 11) m = 5 12) y = 216 13) there is no question 13 14) 240 ft 15) symmetric to origin 16) symmetric to x-axis 17) symmetric toy-axis

Chapter 2 Practice Test

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