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Name ____________________________________________ Date _____________ Block ____ Honors Math 7: Algebra Foundations-QUARTERLY 2 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. What is an expression for the sale price of a bracelet that has been discounted 50% from its sticker price? Evaluate the expression for sticker prices of $50. Use the variable s for the sale price and p for the sticker price. a. b. ____ c. d. ; $25 ; $2550 ; $50 ; $25 2. To which subsets of the real numbers does the number 2.48 belong? a. rational numbers, irrational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers d. none of the above Simplify each expression. ____ ____ 3. a. 7 r 6 c. 6 7 g b. d. 6 7 r 7 6 g 4. What is the value of when x = – and y = ? a. 1 b. 20 27 c. 16 15 d. 20 – 27 – Is the equation true, false, or open? Explain. ____ 5. a. True; the expressions are the same for all values of the variables. b. False; the expressions are never the same. c. Open; there is a variable. ____ 6. A boat builder wants to make a model of a schooner, a type of sailboat with at least two masts. The schooner is 34 meters in length and has a beam of 8 meters (the measure of the widest point of a ship). If the builder wants her model to be 2.3 meters in length, what would be the length of the beam of the model? a. 1.85 meters c. 0.54 meters b. 1.80 meters d. 9.78 meters ____ 7. Is (9, 28) a solution of the equation y = 3x? a. no ____ b. yes 8. Which ordered pair is a solution of the equation ? a. (10, –18) c. (–3, –17) b. (5, 28) d. (–2, –8) ____ What is the solution of the equation? 5 9. 8 = 27 a. 216 5 b. 27 40 c. d. 40 27 5 216 ____ 10. Manny and Emma are both competing in a long jump competition at their school. Manny can jump two fifths of the distance that Emma can jump. Manny can jump 12 inches. How far can Emma jump? a. 30 inches c. 4.8 inches b. 11.6 inches d. 12.4 inches ____ 11. Which equation is an identity? a. b. c. d. ____ 12. Which equation has no solution? a. b. c. d. ____ 13. a. infinitely many solutions b. 5 c. no solution d. 5 a. no solution c. b. infinitely many solutions d. 1 9 a. 20 b. –480 c. –120 d. 2304 ____ 14. 4 9 ____ 15. ____ 16. Find the percent error in calculating the volume of the prism. 4 in. 7 in. 9 in. (The measurements are accurate to the nearest inch.) a. 127% c. 77% b. 27% d. 14% What inequality represents the verbal expression? ____ 17. 4 less than a number n is less than 16 a. 16 < 4 – n b. n – 4 < 16 c. 4 – n < 16 d. 16 – 4 < n ____ 18. a. 5 b. c. 1 2 d. 23 4 1 2 ____ 19. a. b. c. all real numbers d. no solution 2 2 2 2 7 7 1 rectangle 2 rectangles 2 2 7 3 rectangles ____ 20. Which of the following tables represent the relationship in the diagram above? a. c. Number of Number of Rectangles b. Perimeter Rectangles Perimeter 1 18 1 36 2 29 2 44 3 40 3 52 Number of Rectangles Perimeter Number of Rectangles Perimeter 1 18 1 9 2 22 2 11 3 26 3 13 d. 135 135 120 120 105 105 90 90 perimeter perimeter ____ 21. Which of the following graphs represents the relationship described above? y y a. b. 75 60 75 60 45 45 30 30 15 15 1 2 3 rectangles 4 5 x 1 2 3 rectangles 4 5 x Number of Sports Teams 0 1 2 3 Free Time (hours) 45 39 33 27 ____ 22. Is the above relationship a linear function? a. yes b. no ____ 23. x 1 2 3 4 5 y 13 16.9 21.97 28.56 37.13 Graph the function shown by the table. Is the function linear or nonlinear? a. linear b. nonlinear ____ 24. Which of the following equations represents the pattern above? a. b. c. d. ____ 25. The ordered pairs (1, 1), (2, 16), (3, 81), (4, 256), and (5, 625) represent a function. What is a rule that represents this function? a. b. c. d. ____ 26. The ordered pairs (1, 2), (2, 4), (3, 8), (4, 16), and (5, 32) represent a function. What is a rule that represents this function? a. c. b. d. ____ 27. Write a function rule for the area, A, of a triangle whose base, b, is 6 cm less than six times the height, h. What is the area of the triangle when the height is 22 cm? a. c. ; 2772 cm ; 1386 cm b. ; 126 cm d. ; 63 cm Honors Math 7: Algebra Foundations-QUARTERLY 2 REVIEW Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: A C B D C C A B A A A A A A A B B C C B B A B D B D A