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Student Name _________________________ Period________________ Choose the best answer. 1. Write 324 using base 18 and an exponent. A 218 C 184 B 182 D 1818 F five 3’s G 3 multiplied by itself 5 times H 3 times 5 I three 5’s multiplied together 3. Evaluate 4 3 12 2. B 20 4. Evaluate 52 G 12 G 4x 3y z H 4x 3y z 10. Determine which number is a solution of 7n 56. A 8 C 8 B 11 D 49 11. Determine which number is a solution of x 14 29. H 15 D 42 G 15 I 43 H 57 I 112 F Commutative 12. Solve the equation b 23 14. A 37 C 9 B 9 D 37 13. Solve the equation F 4 G Associative G 16 H Identity I Distributive 6.Evaluate the expression a b for a 15 and b 6. G –21 F 8x 4y z F 43 5. Which property is represented? 3 (16 7) (3 16) 7 F –11 9. Combine like terms in the expression 6x 4y z 2x y. C 22 3 5 4 2. F 8 Midterm MJ3 January 2011 I 4xyz 2. What does 35 mean? A 13 Date ________________________ H 9 I 11 7. Evaluate x2 3x for x 4. A 0.36 1010 C 3.6 1010 B 3.6 109 D 36 1010 15. The sun is 93 million miles from Earth. Write this number in scientific notation. C 20 F 93 106 B 4 D 28 G 9.3 107 A 3n 5 C (5 3)n B 5 3n D 3(n 5) I 1,024 14. Write 36,000,000,000 in scientific notation. A 4 8.Write “5 less than the product of a number and 3” as an algebraic expression. d 64. 4 H 256 H 93,000,000 I 93 1,000,000 16. Write the numbers 2, 5, 0, 1, and 3 25. Which decimal is equivalent to in order from least to greatest. A 2, 5, 0, 1, 3 A 1.22 C 11.9 B 2, 1, 0, 3, 5 B 0.119 D 1.2 C 0, 1, 2, 3, 5 26. Which fraction is equivalent to 0.06? 1 6 F H 10 6 3 3 G I 50 5 27. Which set of numbers is in order from least to greatest? D 5, 3, 2, 1, 0 17. Find |4|. F 4 G 0 H 1 I 4 18. Find the sum 25 (12) (9). A 4 C 26 B 22 D 46 8 2 F 6.8, 6 6.61,6 21 3 19. Evaluate x y for x 5, y 16. F 21 H 11 G 11 I 21 20. Find the difference 21 15. A 36 C 36 B 6 D 6 21. Find the difference 7 (8). F 15 G 1 I 56 22. Find the product 8 • (7). C 1 B 15 D 56 23. Find the quotient 48 (6). F 42 G 8 G 6 8 2 , 6 6.61, 6.8 21 3 H 6 8 2 , 6.616 , 6.8 21 3 I 6 8 2 , 6.8, 6.61, 6 21 3 28. There are 14 cars, 8 minivans, and 5 trucks in a parking lot. Write the ratio of minivans to trucks in all three forms. H 15 A 56 11 ? 9 H 8 I 54 A 14 , 14 to 5, 14:5 5 B 8 , 8 to 5, 8:5 5 C 5 , 5 to 8, 5:8 8 27 , 27 to 5, 27:5 5 29. On a recent trip, Josh drove 324 miles and used 12 gallons of gasoline. Find the unit rate. 24. Which two fractions are equivalent to 12 ? 15 4 36 2 24 A , C , 5 45 3 30 3 36 6 24 B , D , 5 45 5 30 D F 12 miles per gallon G 27 gallons per mile H 27 miles per gallon I 330 miles per gallon Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 226 Holt McDougal Mathematics 37. What values for x and y complete the table to show a proportional relationship? 30. Marlee drove 60 miles using 2 gallons of gas. Which is the unit rate in fraction form? A 1 gallon 30 miles C 30 miles 1 gallon B 1 gallon 60 miles D 60 miles 1 gallon x-values y-values 2 3 , 3 4 H 2 9 A 3; 6 C 6; 8 B 3; 8 D 3; 8 4 12 38. Does the graph show a constant or variable rate of change? If constant, what is the slope of the line? 31. Which of the following ratios are proportional? F 1 3 6 9 , 9 12 5 11 3 9 , I , 6 12 5 15 32. Which is the solution to the proportion 3 12 ? 5 x A x 15 C x 30 G B x 20 D x 60 33. If it costs $2.60 to purchase 4 croissants, how much would it cost to purchase 7 croissants? F $3.25 H $4.55 G $3.90 I $5.20 A Constant, B Variable, 34. Give the coordinates of the point in Quadrant III that is 4 units to the left and 2 units down from the origin. A (4, 2) C (4, 2) B (2, 4) D (4, 2) C Constant, D Variable, H Quadrant III I Quadrant IV H y5 G y 5 I y7 3 2 3 2 A y 2x C y 3x 9 B y x2 D xy 8 40. What is the direct variation equation that the data represents? x-values y-values 36. What is the output value y for y 2x 1 if the input value x is 3? F y 7 3 2 39. Which equation represents a direct variation? 35. Identify the quadrant in which each point has an x-coordinate that is positive and a y-coordinate that is negative. F Quadrant I G Quadrant II 3 2 F y 2x G 2y x 2 4 4 8 6 12 H yx2 I xy 2 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 226 Holt McDougal Mathematics 41. What value for y completes the table to represent an inverse variation? x-values 4 6 8 y-values 12 6 A 7 C 24 B 8 D 12 F 0.75% G 25% H 34% I 75% 47. Mr. Ricardo bought a set of luggage that regularly sells for $249.95. It was on sale at a discount of 30%. About how much was the discount? Use the graph for 42-43. F $30 G $75 H $90 I $175 48. 58% of 90 is what number? A 5.22 C 52.2 B 48.8 D 64.4 49. Find 150% of 42. F 21 G 42.5 A x-intercept: 3; y-intercept: 6 B x-intercept: 3; y-intercept: 6 D x-intercept: 6; y-intercept: 3 I x 2y 6 32 100 16 B 0.32, 50 C 0.32, 45. What is 0.625 written as a percent? B 6.25% D 62.5% 46. What is the fraction H 7% I 7.5% A 20% C 200% B 30% D 300% 53. If 120 is decreased to 90, find the percent change. 8 D 32.0, 25 C 37.5% D 400 52. Find the percent of change when 15 is increased to 45. 8 25 A 0.625% B 40 G 6.5% 44. Which shows 32% as both a decimal and a fraction in simplest form? A 0.32, C 90 F 6% 43. Which is the equation of the line in slope-intercept form? G y 2x 6 A 9 51. The sales tax on a phone that sells for $90 is $6.75. What is the sales tax rate? C x-intercept: 6; y-intercept: 3 H x 2y 6 I 84 50. 60 is 15% of what number? 42. Which are the x- and y-intercepts of the graph? F y 2x 6 H 63 F 9% H 33% G 25% I 75% 54. A retailer buys jackets at a cost of $24 each and marks the price up by 175%. What is the retail price of a jacket? 3 expressed as 4 a percent? F $16 H $42 G $28 I $66 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 226 Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ 55. If I $60, r 4%, and t 3 years, find the value of P. A $7.20 C $720.00 B $500.00 D $4,500.00 56. Suki deposits $2,600 in a bank account that pays 3% simple interest per year. How much interest will she earn in 7 years? F $123 H $1,238 G $546 I $5,460 57. Solve 5x 12 2x 55. A x4 C x 13 B x9 D x 17 58. Solve 2(6 n) 18. F n 16 G n 3 59. Solve H n3 I n 16 a 3 9. 4 A a 12 C a 36 B a 24 D a 48 60. Solve y 18 4y 42. F y 4.8 G y6 H y 12 I y 15 61. Review various formulas Studied throughout the year. 62. Review all information from Mathematics Learning Journal. 63. Review Squares and Square Root. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 5 Holt McDougal Mathematics Name _______________________________________ Date __________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 6 Holt McDougal Mathematics