MAT 106 FINAL EXAM ( 2021 latest update )

Name 1. Which number is prime? A) 1 B) 12 C) 31 D) 99 2. Find the GCF for 32 and 45. A) 1 B) 32 C) 45 D) 1440 3. Find the LCM for 11 and 55. A) 1 B) 11 C) 55 D) 605 4. Divide. Write the result in simplest form. 9  12 A) 3 8 B) 54 25 C) 8 3 D) 25 54 5. Convert 3 5 6 to a fraction. 10 5 A) 7 3 B) 23 6 C) 19 2 D) 25 6 6. Change the fraction to a decimal. 1 15 A) 0.06 B) 0.6 C) 0.006 D) 0.06 7. Express 0.053 as a percent. A) 0.053% B) 0.00053% C) 5.3% D) 0.53% 8. Evaluate. 60 ÷ 10 – 12 ÷ 6 A) 3 B) 4 C) 5 D) 6 9. Evaluate. 8 · 43 A) 32768 B) 96 C) 512 D) 56 10. For the following set, which number has the largest absolute value? 4, –1, 12, –20, 19, 0 A) 0 B) 19 C) –20 D) –1 11. Write the following phrase using symbols. 9 times the sum of w and m A) 9 w + m B) 9(w + m) C) 9+(wm) D) 9 + (w + m) 12. Write the following phrase using symbols. Use the variable x to represent the number. Eight less than three times a number A) 3(8 – x) B) 3(x – 8) C) 3x – 8 D) 8 – 3x 13. Which property of the real numbers is illustrated by the following statement? 14 · (9 + 20) = 14 · 9 + 14 · 20 A) Commutative property of multiplication B) Associative property of addition C) Associative property of multiplication D) Distributive property 14. Add. 4 + 1 5 10 A) 9 10 B) 1 3 C) 1 2 D) 7 10 15. Subtract. 3 – (–13) A) 16 B) –10 C) 10 D) –16 16. Marcie gets paid $1.25 an hour to babysit her little brother. If she babysits for 3 hours, how much money do Marcie's parents owe her? A) $3.25 B) $3.50 C) $3.75 D) $4.00 17. Evaluate b2 – 2bc + c2 if b = 3 and c = –2. A) –7 B) 1 C) 17 D) 25 18. Combine like terms. 2x – 3y – 6x A) –4x – 3y B) –7xy C) –x – 6y D) –7x + y 19. Multiply. a4b2  ab3 A) ab6 B) a5b5 C) ab5 D) a4b5 20. Divide. m8n6 m4 n2 A) m2n3 B) m4n4 C) m2n4 D) m4n3 21. Is 14 a solution to the equation 9 – x = 5? A) Yes B) No 22. Solve. –7x = 7 A) –1 B) 1 C) –49 D) 49 23. Solve. 14 – 7x = 35 A) –3 B) 9 C) –19 D) –7 24. Solve. A) –31 B) –39 C) 31 D) 39 x – 4 = 9 3 25. Solve for x. 3x – 2y = 6 A) 2 y + 6 3 B) 3x  6 2 C) 2 + 2y D) 2 y + 6 3 26. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. A) 4 cm B) 5 cm C) 11 cm D) 12 cm 27. At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 45 mi/hr. Two hours later, a second truck leaves along the same route, travelling at 75 mi/hr. When will the second truck catch up to the first? A) 2:00 p.m. B) 5:00 p.m. C) 4:00 p.m. D) 3:00 p.m. 28. Identify the rate in the statment " 630 is 90% of 700." A) 630 B) 90% C) 700 29. A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year? A) $272,000 B) $274,000 C) $276,000 D) $278,000 30. Graph the solution set of x  –1. A) –1 0 B) –1 0 C) –1 0 D) –1 0 31. Which of the ordered pairs (3, 1), (0, –4), (–4, 0), (–3, –7) are solutions for the equation x – y = 4? A) (0, –4), (–4, 0), and (–3, –7) B) (–4, 0) and (–3, –7) C) (0, –4) and (–3, –7) D) (3, 1) and (–4, 0) 32. Which of the ordered pairs is a solution for the equation 3x – 2y = 6? A) (0, 3) B) (–2, 0) C) (–2, –3) D) (0, –3) 33. Give the coordinates of the point graphed below. A) (5, –4) B) (–4, 5) C) (4, –5) D) (–5, 4) 34. Give the coordinates of the point graphed below. A) (–3, 2) B) (2, –3) C) (3, –2) D) (–2, 3) 35. Graph 3x + 2y = 6. A) B) C) D) 36. Graph x = 3. A) B) C) D) 37. Find the slope of the line passing through the points (1, 0) and (1, –4). A) 0 B) 1 C) –4 D) Undefined 38. Find the slope of the graphed line. A) 4 B) –4 C) 1 4 D)  1 4 39. Use the following tabe to answer the question. Population of Europe by Age Groups Population (in thousands) 1950 1970 1995 Age 0-14 143,175 166,367 139,464 Age 15-64 359,162 421,432 487,110 Age 65+ 44,981 68,642 101,338 Age 75+ 14,553 22,762 38,139 Total 547,318 656,441 727,912 Source: European Rural Development (ERD) Project. What was the percentage increase in the age 75+ population of Europe from 1970 to 1995? A) 67.6% B) 63.4% C) 68.9% D) 65.1% 40. Use the following tabe to answer the question. Population of Europe by Age Groups Population (in thousands) 1950 1970 1995 Age 0-14 143,175 166,367 139,464 Age 15-64 359,162 421,432 487,110 Age 65+ 44,981 68,642 101,338 Age 75+ 14,553 22,762 38,139 Total 547,318 656,441 727,912 Source: European Rural Development (ERD) Project. Between 1950 and 1995, did the European population for age 15-64 or for age 75+ increase by a greater percentage? A) age 15-64 B) age 75+ 41. Find the slope and y-intercept. x = –5 A) Slope: 0; y-intercept: (0, –5) B) Slope: undefined; y-intercept: (0, –5) C) Slope: 0; y-intercept: none D) Slope: undefined; y-intercept: none 42. Determine which two equations represent parallel lines. (a) y = 5 x + 4 (b) y =  6 x – 5 (c) y = 8x + 10 (d) y = 8x – 4 6 5 A) (a) and (b) B) (b) and (c) C) (a) and (d) D) (c) and (d) 43. Write the equation of the line passing through (–3, –5) and (3, 0). A) y =  6 x  5 5 2 B) y = 5 x  5 6 2 C) y = 5 x + 2 6 5 D) y =  6 x + 2 5 5 44. Graph the inequality. y  –5 A) B) C) D) 45. Graph f(x) = 3x + 2. A) B) C) D) 46. Adult tickets for a play cost $16 and child tickets cost $14. If there were 21 people at a performance and the theater collected $332 from ticket sales, how many children attended the play? A) 1 child B) 2 children C) 3 children D) 19 children 47. Stan invested $32,000, part at 6% and part at 5%. If the total interest at the end of the year is $1,770, how much did he invest at 6%? A) $15,000 B) $18,000 C) $17,000 D) $16,000 48. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number. A) 5 B) 7 C) 17 D) 34 49. Solve the following system of linear inequalities by graphing. x + 2y  3 2x – 3y  6 A) B) C) D) 50. Solve the following system of linear inequalities by graphing. x – 2y  4 x  4 A) B) C) D)