Grade 10 Obj 1 A 1 B 1 Steven

Grade 10 Obj. 1: (A. 1)(B) 1. Steven made a table showing the amount of money he earned, y, based on the number of fruitcakes he sold at a bake sale, x. Which equation best represents the relationship between x and y? A y = x 2 B y = 4 x – 7 C y = 3 x D y=x+6 Page 1

Grade 10 Obj. 1: (A. 1)(C) 2. Lisa can spend $400 on her summer vacation. If the plane ticket costs $200 and the hotel costs $40 per day, which inequality represents the number of days, d, that she can stay on vacation? F G H J Page 2

Grade 10 Obj. 2: (A. 2)(D) 3. Describe the relationship between the average June temperatures and the latitude positions of cities on the scatterplot at the right. A The temperatures are about the same at all latitudes. B The lower the latitude, the lower the temperature. C The higher the latitude, the lower the temperature. D The higher the latitude, the higher the temperature. Page 3

Grade 10 Obj. 2: (A. 4)(A) 4. A rectangle has dimensions that are the binomial factors of x 2 – 12 x + 35. What is the perimeter of the rectangle? F x– 5 G x– 7 H 2 x – 12 J 4 x – 24 Page 4

Grade 10 Obj. 3: (A. 5)(A) 5. Which situation CANNOT be represented by a linear function? A A worker’s monthly earnings include a bonus of $25 and pay at a rate of $6 per hour he worked that month. B A student collects 15 pounds of cans every 2 weeks for a fundraiser. C A writer uses twice as many pencils each week as he did the week before. D A student gets 5 points for each correct answer on a test. Page 5

Grade 10 Obj. 3: (A. 6)(C) 6. Which equation represents a line with slope twice the slope in the graph of y = – 3 x + 5? F y = – 3 x + 10 G y = – 3 x + 7 H y = 2 x + 10 J y = – 6 x + 5 Page 6

Grade 10 Obj. 4: (A. 7)(A) 7. A phone company charges a flat rate of $10 per month for services and $0. 50 per minute for long distance calls. Which equation will show the total monthly phone bill, b, as it depends on the amount of time spent, t, on long distance calls? A b = 10 t + 0. 5 B b = (10 + 0. 5)t C b = 10 – 0. 5 t D b = 10 + 0. 5 t Page 7

Grade 10 Obj. 4: (A. 8)(A) 8. A bake sale sold pies for $8 each and cookies for $1 each. Total sales for these items were $108. Ten times as many cookies were sold as pies. Which system of equations can be used to find the number of pies, p, and cookies, c, sold? 10 p = c 8 p + c = 108 H p = 10 c 8 p = 108 – c G c = 108 – 8 p 8 p + c = 108 J 10 p = c p + 8 c = 108 F Page 8

Grade 10 Obj. 5: (A. 9)(C) 9. In the graph of the function y = x 2 + (– 3), which describes the shift in the vertex of the parabola if the – 3 in the function is changed to 8? A 8 units up B 11 units up C 8 units down D 11 units down Page 9

Grade 10 Obj. 5: (A. 11)(A) 10. The area of a triangle is 2 x 4 y 3 square units, and the triangle has a height of 4 x 2 y 2 units. Which expression gives the length of the base of the triangle? (x ≠ 0 and y ≠ 0) F xy G x 2 y H x 3 J x 3 y 3 Page 10

Grade 10 Obj. 6: (8. 6)(A) 11. Rectangle ABCD is 3 inches wide and 6 inches high. A dilation of rectangle ABCD results in rectangle EFGH, which is 1 inch wide and 2 inches high. What is the scale factor for the dilation? A B C 2 D 3 Page 11

Grade 10 Obj. 6: (8. 6)(B) 12. Which of the following points represents the reflection of point F across the y-axis? F A G B H C J D Page 12

Grade 10 Obj. 7: (8. 7)(B) 13. Suppose you are enclosing a rectangular dog run that has area of 72 square feet. The dog run will be twice as long as it is wide. Fencing is sold in segments of 4. 2 feet, 6. 0 feet, 8. 5 feet, and 16 feet. If you want to buy only one type of fencing to enclose the dog run, which type gives the least amount of waste? A 4. 2 feet B 6. 0 feet C 8. 5 feet D 16 feet Page 13

Grade 10 Obj. 7: (8. 7)(C) 14. Which answer is closest to the length of line segment d in the following diagram? F 7. 6 G 8. 1 H 9. 6 J 9. 8 Page 14

Grade 10 Obj. 8: (8. 8)(C) 15. Estimate the total surface area of the cone shown at the right. A 38 yd 2 B 47 yd 2 C 66 yd 2 D 75 yd 2 Page 15

Grade 10 16. Janine starts on a walk from her house. She walks 3 miles south and then 4 miles east. She walks home directly, crossing through a park. How far does Janine walk? Obj. 8: (8. 9)(A) F 7 miles G 9 miles H 10 miles J 12 miles Page 16

Grade 10 Obj. 9: (8. 3)(B) 17. A person’s weight is proportional to the force of gravity. Earth’s gravity is 9. 8 meters per second squared, and the Moon’s gravity is 1. 7 meters per second squared. If Mary weighs 132 lbs on Earth, approximately how much would she weigh on the Moon? A 23 lbs B 78 lbs C 224 lbs D 761 lbs Page 17

Grade 10 Obj. 9: (8. 13)(B) 18. An average city in the United States has a cost of living index of 100. The table at the right shows the cost of living index of several Texas cities. Which scale can be used on a graph of the Cost of Living Index without a break symbol on the axis? F 0 – 100 G 50 – 95 H 75 – 100 J 75 – 95 Page 18

Grade 10 Obj. 10: (8. 14)(B) 19. A bookstore stocks 460 copies of two different books. If there are 38 more copies of book B than of book A, how many copies of each are in stock? A 249 copies of A; 211 copies of B B 211 copies of A; 249 copies of B C 173 copies of A; 211 copies of B D 249 copies of A; 287 copies of B Page 19

Grade 10 F 20. Lydia draws a net for a square pyramid. Which statement must be true for her net? G Obj. 10: (8. 16)(B) The net for a square pyramid must consist of a triangular base and four triangular sides. The net for a square pyramid must consist of a triangular base and four square sides. The net for a square pyramid must consist of H a square base and four isosceles triangles. The net for a square pyramid must consist of a square base and three triangular sides. Page 20