# solutions of the equation

Quiz #2 Name___________________________________ ESSAY. Write your answer in the space provided or on a separate sheet of paper. Find the real solutions of the equation. (Show your work) 1) (3x – 2)2 – 9(3x – 2) + 18 = 0 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality. Express your answer using interval notation. 2) 8x + 4 2) 7x + 6 A) [2, ) B) (- , 2] C) [10, ) D) (- , 2) Find the real solutions of the equation. (Show your work) 3) 7x + 8 = 8 64 A) { } 7 B) {8} C) {64} 1 72 D) { } 7 3) Solve the inequality. Express your answer using interval notation. 4) |x + 1| – 6 4) -3 A) (- , -4) or (2, ) B) [4, -3] C) [-4, 2] D) no solution Solve the problem. 5) A college student earned \$6300 during summer vacation working as a waiter in a popular restaurant. The student invested part of the money at 9% and the rest at 8%. If the student received a total of \$543 in interest at the end of the year, how much was invested at 9%? A) \$2400 B) \$3900 C) \$787 5) D) \$3150 Find the distance d(P1 , P2 ) between the points P1 and P2. (Show your work) 6) P1 = (1, -3); P2 = (-4, -15) A) 26 6) B) 169 C) 13 D) 14 List the intercepts for the graph of the equation. 7) y = x2 + 16 7) A) (16, 0) B) (0, 16) C) (0, 16), (-4, 0), (4, 0) D) (16, 0), (0, -4), (0, 4) Find the real solutions of the equation by factoring. 8) x3 – 81x = 0 A) {0, 9, -9} 8) B) {0, 81} C) {0, -9} D) {0, 9} Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin. 7x 9) y = 9) 2 x + 49 A) x-axis B) y-axis C) origin D) x-axis, y-axis, origin E) none Find an equation for the line, in the indicated form, with the given properties. 10) Containing the points (-4, -8) and (-3, 7); slope-intercept form A) y = 15x + 52 B) y = – 15x + 52 C) y + 8 = 15(x + 4) 2 10) D) y = mx + 52
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