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MCCC MAT 135 - MAT135 Review for Test 1

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MAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 1 of 10 1. Solve: 13 4 53x. A. 24x B. 33x C. 11x D. 4 10x 2. Which of the following points is a solution of the equation3 5 2xy? A. 2,13 B. 31,5 C. 11,26 D. 11,2 10 3. Given( 1, 2), (1,3), (5,0), (10, 2),P Q R Swhich of the following is true? A. PQand RS are parallel. B. PQand RS are perpendicular. C. PQAnd RS are neither parallel nor perpendicular. D. Nothing can be determined from the given information. 4. Which is the graph of the inequality8 2 2( 5)xx? 5. What is the equation of the vertical line through the point (2,-5)? A. 2x B. 5x C. 2y D. 5y 6. Solve: 65x. A. 11,1 B. 1,11 C. ,1 11, D. 1,MAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 2 of 10 7. What is the graph of the equation 12 9 36xy? 8. A print shop charges $29.00 plus $0.49 per copy to print brochures. How many can be printed for $80.94? A. 106 B. 116 C. 19 D. 49 9. Solve: 2453xx. A. 60 B. 60 C. 120 D. 120 10. Assume that the model 12 170Cx represents the cost, in hundreds of dollars, to produce x items. How many items can be produced while keeping costs between $305,000 and $449,000? A. 360 480x B. 390 520x C. 240 360x D. 260 390xMAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 3 of 10 11. Calculate the slope of the line. You may assume that each tick mark represents one unit. y A. 1 B. 1 C. 7 D. 7 12. The table below represents the population of a city over time. What was the population of the city in 1896? Year Population 1840 16,000 1860 19,000 A. 19,002 B. 21,401 C. 22,000 D. 24,400 13. A local gym offers two plans for the use of its swimming pool. Plan A costs $35.00 per month for unlimited use of the pool. Plan B costs $15.00 per month, plus an additional $2.50 per hour for the use of the pool. For what number of hours use per month will plan B be better? A. Plan B is better if the pool is used more than 8 hours per month. B. Plan B is better if the pool is used fewer than 8 hours per month. C. Plan B is better if the pool is used more than 20 hours per month. D. Plan B is better if the pool is used fewer than 20 hours per month. 14. Write the equation of the line that passes through( 8, 5) and ( 6, 5). A. 6 8 0xy B. 8 6 0xy C. 8x D. 5y xMAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 4 of 10 15. Solve: 7 3 13x. A. 23, 9xx B. 9, 9xx C. 3, 9xx D. 17, 9xx 16. Write the equation of a line passing through the point (3, 4) and parallel to176yx. A. 1962yx B. 1962yx C. 1962yx D. 6 27yx 17. If 2( ) 3 7 , find (2 )f x x x f a. A. 212 14aa B. 26 14aa C. 212 7aa D. 26a 18. An investment is worth $2529 in 1991. By 1994 it had grown to $4044. Let y be the value of the investment in year x, where x = 0 represents 1991. Which equation represents the value of the investment in year x? A. 505 2529yx B. 12529505yx C. 505 5559yx D. 505 2529yx 19. Let 1.1 23yx represent the percentage of people who were graduated from college x years after 1998. Find and interpret the slope. A. m=1.1. The percentage of people graduating from college decreased at a rate of 1.1% per year after 1998. B. m=1.1. The percentage of people graduating from college increased at a rate of 1.1% per year after 1998. C. m= 23. The percentage of people graduating from college decreased at a rate of 23% per year after 1998. D. m=23. The percentage of people graduating from college increased at a rate of 23% p per year after 1998.MAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 5 of 10 20. Solve: 5(4 3) 4 4(4 4 ) 6x x x. A. ( , ) B. ( ,3) C. (3, ) D. no solution 21. What are the domain and range of the data in the table at the right? A. Domain {2,4,6,8,10} Range {5,10,20,30,45} B. Domain {5,10,20,30,45} Range {2,4,6,8,10} C. Domain {2,4,6} Range{20,30,45} D. The data do not represent a function so there is no domain and range. 22. What is the value of x when 3 5 9xycrosses the x-axis? A. 3x B. 3x C. 95x D. 95x 23. The following graph represents the amount of snow, s, in a ski resort t days after December 31st. Approximately how much snow was at the ski resort on January 24th? (Note the scales on the axes.) A. 16 inches B. 21 inches C. 24 inches D. 40 inches 24. If ( ) 5 , find (7)f x x f. A. 5 B. 7 C. 2 D. 2 x 2 4 6 8 10 y 45 30 20 10 5 t s 100MAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 6 of 10 25. What is the equation of a line with an x-intercept at x = 4 and a y-intercept at 3y? A. 344yx B. 334yx C. 443yx D. 433yx 26. Solve: 3( 2) (3 6) 0xx. A. all real numbers B. no solution C. 0 D. 2 27. Is the following relation a function: {( -8,2), (-8, 8), (2,2), (5,5),(9, -3)}? A. This is not a function. B. This is a function. 28. Solve: 6 4 2 or 3 9x x x. A. [1, 3] B. (1, 3) C. ( ,1) [3, ) D. 29. Solve: 24 3 3 9z. A. 74z B. 74z C. 94z D. 72z 30. Solve: 2 2 for P l w w. A. 2 2.w P l C. 22Pwl B. 22Plw D. 22PwlMAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.5 Page 7 of 10 31. Which is the graph of the line with a slope of 4 and a y-intercept at5? You may assume that each tick mark represents one unit. A. B. C. D. 32. A baseball team has played 141 games this season. The team has 37 fewer wins than losses. How many wins does the team have? A. 37 B. 52 C. 89 D. 141 33. Which of the following lines has a slope of zero? A. 5x B. 5y C. 5xy D. 5xy x x x x y y y yMAT135 Review for Test 1 Dugopolski Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 3.1, 3.2,


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