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Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 1. Evaluate 4. The table shows the daily low temperatures at a school in Fargo, North Dakota. 2x when x 4 and y 8 . y Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday (A) 1 (B) 3 (C) 4 (D) 8 Temperature –2 –5 0 3 4 –1 6 2. Which expression is equivalent to 45 ? (A) 4 5 What is the order of the temperatures from least to greatest? (B) 5 5 5 5 (A) 6, 4, 3, 0, –1, –2, –5 (C) 4 4 4 4 4 (B) –5, –2, –1, 0, 3, 4, 6 (D) 4 4 4 4 4 (C) –1, –2, –5, 0, 3, 4, 6 (D) 0, –1, –2, 3, 4, –5, 6 3. Using the order of operations, what is the first operation performed when evaluating the expression 8 4 2 4 6 ? 5. What is the value of 11 5 ? (A) addition (A) –16 (B) division (B) –6 (C) multiplication (C) 6 (D) subtraction (D) 16 6. A student wants to buy a game system that costs $225. His savings account has a balance of $167. He deposits $16 per week for 5 weeks. During the sixth week, he withdraws $13. Will he have enough money remaining to buy the game system? (A) Yes, he will have $9 extra. (B) Yes, he will have $22 extra. (C) No, he will need $50 more. (D) No, he will need $55 more. 2010–2011 Clark County School District 1 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 7. What is the value of 4 9 ? 10. What property is illustrated? 19 8 12 19 8 12 (A) 13 (B) 5 (C) –5 (A) Associative Property (D) –13 (B) Commutative Property (C) Distributive Property 8. Calculate the value of 56 8 . (D) Identity Property (A) –48 11. A student simplified an expression using the following steps: (B) –7 Step 1: x 2 4 5x (C) 7 (D) 48 Step 2: x 8 10 x 9. Use the coordinate plane. Step 3: x 10x 8 Step 4: 9 x 8 A D What property justifies the change from Step 2 to Step 3? (A) Associative Property B (B) Commutative Property (C) Distributive Property C (D) Identity Property 12. Which equation shows a correct use of the Distributive Property? What point represents the coordinates 4, 0 ? (A) 6 x 4 6 x 4 (A) Point A (B) 6 x 4 6 x 4 (B) Point B (C) 6 x 4 6 x 24 (C) Point C (D) 6 x 4 6 x 24 (D) Point D 2010–2011 Clark County School District 2 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 13. Simplify the expression 8 x 3 4 x . 17. What value of y satisfies the equation? (A) 12x 3 (A) 72 (B) 12x 24 (B) 2 (C) –2 (C) 12x (D) –72 (D) 20x 18. Solve for x in the equation. 14. An art student is creating a rectangular frame. Let w represent the width of the frame. The length is 3 more than the width. Which expression represents the perimeter of the frame? (A) 4.94 (B) 6.29 (C) 6.59 (D) 7.94 (A) 4w (B) 10w 19. What would be the best choice for the first step when solving the equation? (C) 2w 3 (D) 4w 6 2x 13 27 15. For which equation is the correct solution given? (A) (A) Subtract 13 from both sides. (B) Add 13 to both sides. a 9 , when a 45 5 (C) Divide both sides by 2. (D) Multiply both sides by 2. (B) b 14 15 , when b 1 20. What is the value of x in the equation? (C) 4 c 13 , when c 17 (D) 3d 51 , when d 17 (A) –7 (B) –3 16. Solve for x in the equation. (C) 3 (A) –30 (D) 7 (B) –14 (C) 14 (D) 30 2010–2011 Clark County School District 3 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 21. If 4 more than 2 times a number is 12, what is the number? 24. Shannon has $15 in her savings account. She plans to deposit $9 per week. Her brother has $105 in his savings account and plans to withdraw $6 per week. How many weeks will it take until both Shannon and her brother have an equal amount of money in their savings accounts? (A) 2 (B) 4 (C) 6 (D) 8 (A) 6 weeks (B) 8 weeks 22. What is the solution to the equation? (A) x = –7 (C) 30 weeks (B) x = –6 (D) 40 weeks (C) x = –4 25. This question obsolete as of 2011–2012. See new test specifications and practice questions. (D) x = –3 23. What value of x makes the equation true? 26. This question obsolete as of 2011–2012. See new test specifications and practice questions. (A) –9 (B) –5 (C) 3 (D) 5 2010–2011 Clark County School District 4 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 27. This question obsolete as of 2011–2012. See new test specifications and practice questions. 30. What is the greatest common factor (GCF) of 6x3 y and 15x 2 y 4 ? (A) 3x3 y 4 28. This question obsolete as of 2011–2012. See new test specifications and practice questions. (B) 3x 2 y (C) 30x3 y 4 29. What is the prime factorization of 60? (D) 30x 2 y (A) 2 3 5 31. Write the fraction in simplest form. (B) 3 4 5 (C) 22 3 5 (A) 3a 4 8 (B) 3a3 8 (D) 22 15 9a 4 (C) 24 (D) 9a 3 24 32. What is the least common multiple (LCM) of 9x 4 y3 and 12x 2 y 5 ? (A) 3x 2 y 3 (B) 3x 4 y 5 (C) 36x 4 y5 (D) 36x 2 y3 2010–2011 Clark County School District 5 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 33. What is 3.46 105 written in standard form? 37. What is the decimal equivalent of 7 (A) 0.00000346 (A) 7.65 (B) 0.0000346 (B) 7.13 (C) 346,000 (C) 7.13 (D) 34,600,000 (D) 7.65 34. What is 0.000716 written in scientific notation? 13 ? 20 38. Order the numbers from least to greatest. (A) (A) 7.16 104 (B) 7.16 103 2 3 5 , , , 0.06, 0.65 3 5 8 (B) 0.06, 0.65, (C) 7.16 103 (D) 7.16 104 (C) 0.06, 35. Which number is equivalent 2 to 7 ? 3 (D) 2 3 5 , , 3 5 8 3 5 2 , , 0.65, 5 8 3 2 5 3 , 0.65, , , 0.06 3 8 5 (A) 7.23 (B) 7.23 (C) 7.66 (D) 7.6 36. Which fraction is equivalent to 0.576? (A) 144 25 (B) 72 125 (C) 1 576 (D) 6 625 2010–2011 Clark County School District 6 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 39. Steven rides his bike directly from home to 1 school. After riding 2 miles, a friend 2 3 joins him. Together they ride another 3 4 miles to school. What is the distance from Steven’s house to school? (A) 42. Solve the equation. 20 miles 6 1 (B) 1 miles 4 (C) 5 4 miles 6 (D) 6 1 miles 4 40. Evaluate (A) x 10 3 (B) x 10 3 (C) x 3 10 (D) x 3 10 43. What process is used to obtain the equation shown in Step 2? Step 1: 0.4x 0.35x 8 Step 2: 40x 35x 800 x when x 3.25 and y 2.5 . y (A) divide by 10 (B) divide by 100 (A) 0.13 (C) multiply by 10 (B) 0.13 (D) multiply by 100 (C) 1.3 44. Michelle has a choice of purchasing two different sizes of shampoo at the store. The 8-ounce bottle costs $5.10 and the 12-ounce bottle costs $7.59. Which size bottle of shampoo is the better buy and why? (D) 1.3 41. Angel has 56 cups of apple juice. How 7 many cup servings will that make? 8 (A) The 8-ounce bottle because it costs 63 cents per ounce. (A) 64 servings (B) The 8-ounce bottle because it costs 64 cents per ounce. (B) 49 servings (C) 1 serving 49 (C) The 12-ounce bottle because it costs 63 cents per ounce. (D) 1 serving 64 (D) The 12-ounce bottle because it costs 64 cents per ounce. 2010–2011 Clark County School District 7 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 45. Mario and 5 friends went out for dinner. The total cost of the meal was $35.40. What was the cost per person? 48. Triangle ABC is similar to triangle DEF as shown. D Note: Figures not drawn to scale. (A) $5.90 17 A (B) $6.00 14 (C) $7.00 E 15 (D) $7.08 F 20 B 46. The trip from Las Vegas to Los Angeles takes 5.25 hours in the car. How long is the trip in minutes? x C Which proportion can be used to find the value of x in triangle ABC? (A) 315 minutes (B) 325 minutes (C) 3150 minutes (A) 15 17 x 20 (B) 14 17 20 x (C) 20 15 14 x (D) 20 x 14 15 (D) 3250 minutes 47. A recipe requires 8 cups of lettuce to make 10 tacos. How many cups of lettuce would be needed to make 40 tacos? (A) 2 cups (B) 32 cups (C) 38 cups (D) 50 cups 2010–2011 Clark County School District 8 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released 49. Figure ABCDE is similar to figure VWXYZ. Note: Figures not drawn to scale. A 36 B E V 24 30 D Z W n C Y X What is the value of n? (A) 45 (B) 28 (C) 20 (D) 18 50. A 6-meter flagpole casts a shadow of 8 meters at the same time a nearby building casts a 24-meter shadow. How tall is the building? (A) 14 meters (B) 18 meters (C) 22 meters (D) 32 meters 2010–2011 Clark County School District 9 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released Free Response 1. The table shows the approximate populations of several countries in 2009. Country Population Pakistan 169, 000, 000 Cuba Egypt 1.12 107 78, 000, 000 Bolivia 9.8 106 (a) Express the population of Pakistan in scientific notation. (b) Express the population of Bolivia in standard notation. (c) List the populations of all four countries from least to greatest. Explain how you got your answer. 2010–2011 Clark County School District 1 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released Free Response 2. The local gym offers two different yearly plans: Plan One: $115 per year Plan Two: $25 per year plus $6 per visit (a) Write a linear equation to find when the number of visits for Plan One equals the number of visits for Plan Two. (b) After how many visits will the cost of the two plans be equal? Show your work to support your answer. 2010–2011 Clark County School District 2 Revised 08/02/2011 GO ON Pre-Algebra 8 2010–2011 Semester 1 Exam — Released Free Response 3. A 12-ounce box of rice costs $2.88. A 32-ounce box of rice costs $6.40. (a) Which box has the lower price per ounce? Show work to support your answer. (b) Melvin buys 10 pounds of rice. How much money would Melvin save by buying the package with the lower unit price? (1 pound = 16 ounces.) Show work to support your answer. 2010–2011 Clark County School District 3 Revised 08/02/2011 GO ON