# Pre-Algebra 2 Course

Course Name: Pre-Algebra 2 Course ID: MTHH022256 Student: Arslan Rizvi Student ID: H97684848 Generated Date: June 24, 2021 Progress Test 3 This Progress Test covers the course materials that were assigned in Units 5 and 6. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is important that you do your own work. Only a four-function calculator may be used on progress tests. You may also use scratch paper to work out the solutions. ____ 1. Use the chart to answer the question. In a school of 600 students, how many lockers would you expect to have three books? A. 10 B. 590 C. 100 D. 60 ____ 2. Find the difference: (2×3 + 3x + 7) – (3×3 − 2×2 + 4x – 3) A. –x3 − 2×2 – x – 4 B. 5×3 − 2×2 − 7x + 10 C. –x3 + 2×2 – x – 4 D. –x3 + 2×2 – x + 10 ____ 3. Find the sum: (4×2 + 5x − 8) + (3×2 − 6x + 1) A. 7×2 + x − 7 B. 7×2 − x − 7 C. 7×2 + x + 7 D. 7×2 − x + 7 ____ 4. Simplify this difference: (4a2 – 3a − 2) – (2a2 + 5a + 10) A. 2a2 – 2a − 12 B. 6a2 – 8a + 8 C. 2a2 + 2a + 8 D. 2a2 – 8a − 12 ____ 5. A school has 800 students. A survey of a random sample of 80 students finds that 48 of the students enjoy swimming. Predict the total number of students in the school who enjoy swimming. A. 48 B. 384 C. 480 D. 3840 ____ 6. You are buying sneakers. You can choose from aerobic, running, basketball, or volleyball sneakers. Each pair is available in white, black, or red, with white, blue, red, or black laces. How many different pairs of sneakers are there? A. 12 B. 11 C. 24 D. 48 ____ 7. What is the next term in the sequence: 18, 10, 2, –6, …? A. –18 B. 2 C. 0 D. –14 ____ 8. Simplify this expression: 7C3 A. 21 B. 35 C. 10 D. 210 ____ 9. A town’s population is 5,400. In a random sample of 500 townspeople, 60 said they are in favor of a new tax. Predict how many townspeople would be in favor of the tax? A. 120 B. 648 C. 324 D. 1000 ____ 10. What number is next in the pattern: ? A. B. C. D. –6 ____ 11. Find the product: (x – 6)(x + 3) A. x2 – 3x + 9 B. x2 + 9x – 18 C. x2 – 3x – 18 D. x2 – 9x + 9 ____ 12. What is the common ratio of the geometric sequence: 54, –18, 6, –2, …? A. –3 B. 3 C. D. ____ 13. You select letters at random from the word MATHEMATIC. What is the probability that you select an A, and then after replacing the A, select a T? A. B. C. D. ____ 14. You roll a six-sided number cube. What is the probability that you will roll a 3 or a 5? A. B. C. D. ____ 15. What is the value of ? A. 56 B. 70 C. 1,680 D. 40,296 ____ 16. Given candidates A, B, and C where A has 43% of the vote, B has 28% of the vote, and C has 29% of the vote, which of the following would be the best way to display this data? A. line graph B. circle graph C. scatter plot D. histogram ____ 17. Multiply: 4z(5 – 6z2) A. 20z – 10z3 B. 20z – 2z3 C. 20z – 24z3 D. 20z + 24z3 ____ 18. What type of event is this? A bag contains 6 blue marbles, 4 red marbles, and 5 green marbles. You select a blue marble, keep it, and then select a red marble. A. theoretical event B. independent event C. dependent event D. special event ____ 19. Multiply: −t(4t2 – 2t – 1) A. −4t2 + 2t + t B. −5t3 − 3t2 + t C. 4t3 – 2t2 – t D. −4t3 + 2t2 + t ____ 20. Find the product: (4x + 4)(9x − 9) A. 36×2 − 36 B. 36×2 – 72x − 36 C. 36×2 – 13x + 36 D. 36×2 – 13x − 36 ____ 21. For the function y = 2(5)x, what is the value of y when x = 4? A. B. C. 1250 D. 3125 ____ 22. Which of the following functions is an example of exponential decay? A. y = 0.5(3)x B. y = 3(0.5)x C. y = 0.2(2)x D. y = 3(5)x ____ 23. Simplify the expression: 5n2 – 2 + 7n + 2n2 – 7n + 11 A. 3n2 – n + 13 B. 7n2 + 14n + 9 C. 7n2 + 9 D. 5n2 + 9 ____ 24. Each of the six faces of a number cube is painted either yellow or green. When the cube is tossed, the probability is that the cube will land with a green face up. How many sides of the cube are yellow? A. one B. two C. three D. four ____ 25. Find the next 3 terms in this sequence: You save $8 in January, $12 in February, $18 in March, …. A. $22, $26, $30 B. $24, $30, $36 C. $26, $35, $35 D. $26, $36, $48 ____ 26. Which of the following expressions is not a polynomial? A. −12b B. 45 C. y2 – 2y + 7 D. x2 − x−1 ____ 27. An ice-cream shop has 21 flavors of ice cream. How many different twoscoop cones can you order where none of the scoops are the same flavor? A. 42 B. 10 C. 210 D. 420 ____ 28. Use the GCF to write this expression as the product of 2 factors: 6xy + 2x + 3x2y A. x(6y + 2 + 3xy) B. 2x(3y + 1 + 1.5xy) C. xy(6 + 2 + 3x) D. 2(3xy + x + x2y) ____ 29. Which is the best random sample for determining the number of houses in Grand Rapids, Michigan with cedar siding? A. Mail a survey to 1,000 households in each of the 50 United States. B. Do a telephone survey of 1,000 households across Grand Rapids, Michigan. C. Interview people outside a hardware store. D. Phone all the houses in your neighborhood. ____ 30. At what point on a graph does the minimum value of the function y = 3×2 – 5 occur? A. (0, 5) B. (5, 0) C. (0, –5) D. (–5, 0) ____ 31. Use this table to find the experimental probability of getting tails. A. 50% B. 55% C. 45% D. 20 tails ____ 32. If a club has 10 members, how many different combinations of 3 members can be chosen to serve on the social committee? A. 40 B. 120 C. 720 D. 5,040 ____ 33. What type of polynomial is this? 56 – y A. monomial B. binomial C. trinomial D. quartic ____ 34. Find the first quartile of the data: 15, 17, 25, 10, 21, 19, 8, 14, 23, 20, 16, 4, 19, 27, 24, 19 A. 19 B. 15 C. 14 D. 14.5 ____ 35. A rectangular painting is twice as long as it is wide. The painting has a 3 inch wide frame. If you let x represent the width of the painting, which product gives the area of the painting and the frame? A. (2x)(x) B. (2x + 3)(x + 3) C. (2x + 3)(x + 6) D. (2x + 6)(x + 6) ____ 36. Amy, Christy, Elaine, Melissa, and Sharon are running in a relay race. How many ways can you order the first two runners? A. 25 B. 20 C. 10 D. 15 ____ 37. Which of the following is a trinomial? A. 9×3 B. 3×4 – 4x C. x5 – x2 + 1 D. x3 – x2 – x + 9 ____ 38. Match the graph with the correct equation. A. y = −4│x│ + 4 B. y = 4│x│ − 4 C. y = –4×2 + 4 D. y = 4×2 – 4 ____ 39. You want to write a letter to a friend. You do not have her 5 digit ZIP code. You know that the first four digits of her ZIP code are the same as your ZIP code. What is the probability that you will choose the correct ZIP code for your friend? A. B. C. D. ____ 40. If a digit can be used more than once, what is the probability that the last two digits of a randomly generated 5-digit number are both 7? A. B. C. D. ____ 41. Find the first quartile of the data: 52, 48, 55, 42, 47, 45, 39, 51, 35, 43, 51, 46 A. 35 B. 42.5 C. 43 D. 46.5 ____ 42. Eight horses are running in a race. In how many ways can the horses finish in first, second, and third place? A. 6 B. 336 C. 6720 D. 40,320 ____ 43. The cost of a taxicab ride is $1.50 for the first quarter–mile and $0.25 for each additional quarter–mile. Which sequence gives the cost of a taxicab ride, starting with a ride that is 1 quarter–mile, then 2 quarter–miles, then 3 quarter–miles, etc.? A. $0.25, $1.75, $3.25, $4.75, … B. $0.25, $1.50, $2.75, $4.25, … C. $1.50, $1.75, $2.00, $2.25, … D. $1.75, $2.00, $2.25, $2.50, … ____ 44. A jar holds 16 red marbles and 24 blue marbles. You draw a marble at random and then replace it and draw a second marble, what is the probability of drawing first a red marble and then a blue marble? A. B. C. D. ____ 45. What is the next term in the sequence: –3, –6, –9, –12, …? A. –15 B. –3 C. 3 D. 15 ____ 46. A menu shows that you can pick one vegetable from 6 choices, one main dish from 4 choices, and one dessert from 3 choices. How many different choices of meals do you have? A. 13 B. 18 C. 27 D. 72 ____ 47. The city of Greenville is forming a planning committee to organize a parade. There are 4 people in the mayor’s office, 12 in the police department, 11 in the fire department, and 25 in the veterans’ association. If the committee must contain one person from each group, which of the following expressions could you use to determine how many different committees are possible? A. 4 + 12 + 11 + 25 B. 4 • 12 + 11 • 25 C. 4 • 12 • 11 • 25 D. (4 + 12 + 11 + 25) ÷ 4 ____ 48. Use the data in this table to predict the number of tails you would get in 75 coin tosses. A. 33 tails B. 40 tails C. 34 tails D. 41 tails ____ 49. The polynomial x2 + 10x models the area of a greenhouse 10 m longer than it is wide. The greenhouse is 8 m wide. What is the area? A. 144 m2 B. 64 m2 C. 80 m2 D. 18 m2 ____ 50. Find the difference: (x2 – 2x + 5) – (2×2 + x – 4) A. 3×2 – x – 1 B. –x2 – 3x + 9 C. –x2 + x – 1 D. 3×2 – x + 1 Carefully review your answers on this progress test and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to the online test submission page in the presence of your proctor. The University of Nebraska is an equal opportunity educator and employer. ©2021, The Board of Regents of the University of Nebraska. All rights reserved.

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