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Math 107 3(3+x) 3) A =-x-/2+ 2000x Quiz 3 (There are 30 questions but 35 possible answers as some questions have b) x+1 b) A =-x-/2 + 1000x more than one answer. Each answer is worth 4 points. Total points 140 c) A =x* - 2000x 3(3-x) d) A=x* + 1000x 1. Simplify 5x - 3{2x - 2[x - 2(1 -x)]} c) x -1 e) A = -x* + 1000x a) 17x - 12 3(x- 1) b) 17x+12 d) 3- x 8. If fox) is a linear function such that f(-2) = 4 and f(3) = 14, which of the following could represent f(x)? c) 12 - 17x 3-x e) 3(3-x) 3) foo) = 2x* - 3 d) 12x - 17 b) fix) = 2x* + 12 () fix) = 2x + 8 d) fig) = 4x +5 e) foo) = none of these 4. Simplify the expression -3(4x -2)-2(5x -4) 3) -22x - 14 2. Find the product VSxy . /10agy b) - 22x - 6 c) 9x + 14 d) - -22x + 14 -9x + 14 9. The length of a rectangular poster is one foot more then the width and the diagonal of the poster is 5 feet. What are the length_ and width 5. Solve the formula for b: A = Wbh Answer = 10. The function w(x) =-0.01x# + 0.27x + 8.60 can be used to estimate the number of self-employed workers in America in millions, x years after 1980. Forwhat years. were there (or will be there) 2.7 million self-employed worker in America? Answers_ and 6. Solve the equation (4m - 2) - 2(4m - 2) = 15 9+3x 9- x 3) {1/4} 3. x+1 x - 1" The sign is division - notplus. It is a little difficult to b) {7/4, -1/4} see. () {-7/4, 4} d) (4/7, 4 } None of the above 3x a) x+1 7. A farmer has 2000 feet of fencing available to enclose a rectangular field. One side of the field is ariver, so only three sides require fencing. Express the area A as a 11. Solve using the quadratic formula 2x* + 2x = 3 function of x, where x is the length of the side parallel to the river. 3) * = 1 = N714. If i= V-1, then (i + 1)(6i - 10) is equivalent to b) &= =2= 126 2) -10 -101 b) -12i - 20 () & = 2# 126 c) -16 + 16i d) 16+161 2) -16-41 17. Solve for 'p' from this formula from optics. d) * = 1= 17 1/F.=. 1/m + 1/p e) * = -1 = 126 15. Find the area of the following triangle. P= 3) A= W/y 18. Regression analysis problem: Determine the correlation coefficient and 12. Write in lowest terms: bi + 6b- 16 bj A = 2x/y X and Y. coefficient of determination for the following data. Interpret the relationship between b' + 5b-24 () A = 1 XX d) A = 2xy @) A=x'+ y Comelation coefficient is. Coefficient of determination is () 6b - 16 5b - 24 Interpretation: d) ob -2 5b - 3 16. Find the missing side of the triangle. e) none of the above 19. The following equation y= 6x + 121, estimates the number of faculty members at two year colleges, in thousands, where x is the number of years after 1970. For what year will there be more then 360,000 faculty members? 13. Solve the inequality |-2x - 5| $ 6 Answer _ 3) x >-11/2 a ) Ity b) x2-1/2 b ) vx 2 - > 2 ( ) Vx 2 + , 2 () -11/ gx5 1/2 ) x2 - 2 d) -1/2gxg 11/2 * ) x 2 +12 20. Find the zero for the function f(x) = 4x# - 1 1x - 3 Answer is Answer_ and 2) none of the above21. Which of these functions is(are) always increasing? (I) f(x) =-x' + 2x+1 (II) f(x) = 2x - 1000 (III) f(x) = x - 41+ 255 25. To stop a moving car takes some time and distance. The stopping distance d of a 28. Find the x intercepts and the zeros of the function car after the brakes have been applied varies directly as the square of the speed r. If a A) (I) and () only car traveling 60 mph can stop in 200 feet, how fast can a car travel and still stop in 72 f(x) = 2x# -13x -7 B) (I) only feet? C) (!) and (IV) only Answers x intercepts (?, 1) and (?, ?) D) (I) and (III) only Answer MPH _and E) (III) and (IV) only Zeros_ and 22. Solve 3x- -2=-4x 3) 4 = \\10/4 26. Science problem concerning a rocket. 59t) =-161: + 80t+ 224 is the function that 29. Solve forx, where log. x =-3 b) 4# 10 represent the height of a rocket. In this equation, given the height S, in feet, of a 2) 1/64 model rocket launched with a velocity of 80 ft/sec from a hill that is 224 feet high, where t is the time in seconds. When will the rocket reach the ground? b) -12 () -2 = V10 c) -16 d) = 2# 1 10 Answer time =_ 3 1)-64 2) none of the above @) none of these 30. Find the distance between the points (-2, 3) and (4, -5) 3) 512 f (3 ) 23. Use synthetic division to find the function value for f(x) = x' - 6x# +11x -6, find 27. Regression analysis problem: Determine the correlation coefficient and b) 10 coefficient of determination for the following data. Interpret the relationship between C) 215 d) 130 X and Y. 2) 8 Answer 24. The of a line containing (x1, yi) and (x:, y:) is given by (y: - yi)(x: -Xi) Regression equation is Determine the value of Y when X is 7. Answeris
