Exam Practice Test 3

Name Date: Exam... Practice Test # 3 Part 1-Multiple Choice 1) Evan always drives between 45 and 60 miles per hour on his commute. The distance he travels can be represented in the system of inequalities below, where x is the number of minutes and y is the number of miles. 3) Write an expression for the area of the rectangle. 4) For what value of x should the expression be further simplified? y < x y > 30 y > 0.75(40) y < 40 Which of the following is a true statement? XA) When the number of minutes he's driven (x) is 60, the miles he has driven (y) is between 15 and 60. When the number of minutes he's driven (x) is 40, the miles he has driven (y) is between 30 and 40. C) When the number of minutes he's driven (y) is 24, the miles he has driven (x) is between 24 and 32. D) When the number of minutes he's driven (y) is 36, the miles he has driven (x) is between 27 and 36. day passes were sold and 1,245 night passes were sold. What is the closest estimate of the total amount of money paid for the passes last October? 50 * 80 + 95 * 1250 120,000 B) $130,000 C) $140,000 (x + 8)(x ^ 2 - 4x + 5) x ^ 2 - 3x + 13 9x ^ 2 - 31x + 40 D) $150,000 x + 8 B) x²-4x x ^ 3 + 4x ^ 2 - 27x + 40 x ^ 2 - 4x + 5 √65 C) x = 11 √65 D) x = 13 5) Find the least common multiple (LCM) for the two polynomials. XA) x = 2 x = 10 What is the y-intercept of the graph 6x - 3y =24? 6) exponert on vardalles) XD) 2916xyz y = 2x - 8 27xyz 108x * y ^ 2 XA) 27xy B) 108xyz 108x * y ^ 2 * z A) -8 B) 2 C) -3 D) 24 7) The cost for cellular phone service is $3 h plus $0.08 for each minute. Which equation expresses the cost, c, in dollars, as a function of the number of minutes, m? A) c = 0.08m + 32 B) c = 8m + 32 C) m = 32 - 8c D) c = 32m + 0.08 sqrt(150) = 5sqrt(2) * sqrt(5x) (- 3y)/- 3 y > 0.75x x ^ 2 - 4x ^ 2 + 5x + 8x ^ 2 sqrt(10) B8) Solve S = pi*rL + pi * r ^ 2 for L A) L = S - r C9) Water was poured into a tank. The foreman recorded the time and the amount of water in the tank and showed this data in a graph. What is the relationship between the amount of water, A, in the tank and the time in minutes, t? C) L = r - S/(pi*r) XA) A = 100r B) A = 200r + 100 C) A = 100t + 100 XD) A = 100t + 200 A b = 100 m = 100 Volume in gallons 500 400 300 200 100 0 1 2 3 4 Time in minutes A 10) The amount that Phil charges for his service is a linear function of the number of hours that he works. The service charge represents the y-intercept of the graph for the linear equation. The table shows the amount for various hours of work. 31 = 8(a) + b B * 1 = 110 + 6 Number of Hours Charge 2 4 7 9 31 47 71 87 C) $16 D) $29 How is his service charge? 15 = b A) $15 B) $8 11) Consider the system of equations: x + y = 6 -> y = 6x + 6 (parallel lines y = - x + 2 Which statement correctly describes the graphs of these equations? y = 6x + 2 Same slopes B) The lines coincide. A) The lines are parallel. C) The lines intersect at (2, 4). D) The lines intersect at (-2, 8). D 12) The video store rents DVDs for $3.75 each and video games for $4.00 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $18. B A) 3.75g + 4d = 18 X 3.75 + 4 = d XB) 3.75d = 4g + 18 (D) 3.75d + 4g = 18 for the domain \{- 1, 3, 7, 9\} of f(x) = 4/3 * x + 4 13) What is the range of B) \{8/3, 8, 40/3, 16\} D) \{8/3, 8, 40/3\} f(3) = 4/3 * (3) + 4 F(3) = 8 f(7) = binomial(40,3) f(- 1) = 4/3 * (- 1) + 4 f(- 1) = 8/3 f(9)16 >A rangle \{8/3, 10, 40/3, 16\} m = (47 - 31)/(4 - 2) = 16/2 = 8 X -> \{8/3, 7, 40/3, 15\} L = S/(pi * r ^ 2) - r L = S/(pi*r) - r S = Pi * r ^ 2 = Pi * r ^ 2 * r ^ 2 = Pi * r ^ 2 = (S - Pi * r ^ 2)/(Pi*r) = (Pi*rL)/(Pi*r) C 14) Jeannie solved the quadratic equation shown by factoring. x ^ 2 + 2x - 8 = 0 Which of the following shows a step in solving the equation shown? A) (x+2)(x+4)=0 B) (x + 2)(x - 4) = 0 ) (x - 2)(x + 4) = 0 D) (x - 2)(x - 4) = 0 A 15) If x ne3, which of the following shows the expression below in simplest form? (3x ^ 2 - 27)/(x - 3) = (3(x ^ 2 - 9))/(x - 3) = 3(x+3)(y^ 2 x/3 ) A) 3(x + 3) 8) 3(x - 3) C) 3(x + 9) D) 3(x - 9) C 15) Which property of equality justifies step F shown to the right? Д. 26 = - 16 - 8x A) Multiplication Property of Equality B. 26 = - 16 + (- 8x) C 26 + 16 = - 16 + (- 8x) + 16 8) Subtraction Property of Equality 26 + 16 = - 16 + 16 + (- 8x) C) Division Property of Equality awde both sides by F Sarme #) E. 42 = - 8x 42/- 8 = (- 8x)/- 8 D) Addition Property of Equality G. - 21/4 = x C 17) A polynomial expression is shown below. (m * x ^ 2 - 1)(3x ^ 2 - 6x + 4) - (9x ^ 4 + 4x ^ 7) 3m * x ^ 4 - 9 = 0x ^ 4 3m - 9 = 0 3m = 9 m = 3 The expression is simplified to - 18x ^ 3 + 5x ^ 2 + 6x - 4 What is the value of m? A) 1 8)-3 C) 3 D) -1 A 18) Which set of slopes would belong to a o a pair of lines perpendicular to one another? A) m = 3/10 * a m = - 10/3 B] m = 3/10 and m = - 3/10 opp reciprocal Slopes C) m = 3/10 and m = 3/10 D) m = 3/10 and m 10 3 19) What is the graph of y + 2 = - 2/3 * (x + 6) * 7 -> y + 2 =- 2 3 x-4 Rightarrow y=-2/3x-6 C) A 20) A local citizen wants to fence a rectangular community garden. The length of the garden should be at ✔least 110 feet and the distance around should be no more than 380 feet. Which system of length 2 thequalities models the possible dimensions of the garden? pertmeter ≤380 A) 2x + 2y <= 380 y >= 110 빗 aligned y(<=)10\\ 2x + 2y <= 380 aligned C D buth Cord Circles y >= 110 2x +2y(>=380 y <= 110 2x + 2y >= 380 21) A polling firm, hired to estimate the likelihood of the passage of an upcoming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is 1 = FO*R_{r} z = AGAINST. If the referendum were held today, estimate the probability that it would pass. A) 0.5 22/03 2.1.2.21162120523 B) 0.65 C) 0.6 D) 0.4 22) Which graph represents the solution to the absolute value inequality shown below not a compound graph - 9 + |d - 3| >= - 7 OR 12/20 = 0.6 |d - 3| >= 2 d - 3 >= 2 * or * d - 3 <= 2 d >= 5xd <= 1 -20-18-16-14-12-108-64-20 2 4 6 8 10 12 14 16 18 20. -20-18-16-14-12-10-8-6 -202 4 6 8 10 12 14 16 18 20 -30-18-16-12-17-10 D) 68 10 12 14 16 18 20 -20-18-16-14-12-10-8-6-1-20 2 4 6 8 10 12 14 16 18 20 C23) Keith asked 130 students to select their favorite type of movie to watch and then recorded the results in the graph below. Favorite Type of Movie to Watch Comedy 70 60 50 40 130x = 4500 30 x35 20 10 Action 35-| 4 = 21 0 Action Animation Comedy Drama Other Keith will ask another 75 students to select their favorite type of movie to watch. Based on the 1875 information in the graph, approximately how many more students of the next 75 will select comedy movies rather than action movies? 130 **14 A) 35 8) 14 C) 20 D) 46 60/130 = x/75 25/130 = X/75