Chapter Test A For use after Chapter 2

Transcription

1 Chapter Test A For use after Chapter Evaluate the epression. 1. (18 9) 11. 8( )(5) t c ( 10) 6. 4(6) Identify the property that the statement illustrates ( 10) 8. ()y (y) p 1 37 Complete the statement. Round to the nearest whole number cm? in m? ft 1. A jar of jelly beans weighs 48 ounces. How much does the jar of jelly beans weigh in pounds? 13. A rectangular room is 15 feet long and 1 feet wide. Find the perimeter and the area of the room. Use the distributive property to write an equivalent variable epression. 14. (z 8) 15. (5 a)( 7) 16. 6(3y 1) 17. Find the area of the triangle m 14 m For the given epression, identify the terms, like terms, coefficients, and constant terms. Then simplify the epression k 10 k w (m ) 1. 3(y 9) y. 6r 10(4r 8) 3. You are a member of the fund-raising committee for your school. The committee is sponsoring a fair. Each member of the committee has agreed to sell 50 tickets to the fair. Student tickets are $3 each and adult tickets are $5 each. Let t represent the number of student tickets that you sell. Write and simplify an epression in terms of t for the total amount of money you raise for selling all 50 tickets. Then use the epression to determine how much money you will raise if you sell all 50 tickets and 8 of those are student tickets. Chapter Pre-Algebra 5

2 Continued Chapter Test A For use after Chapter Write the verbal sentence as an equation. 4. The sum of 5 and a is The difference of and 1 is The product of 10 and y is The quotient of b and 8 is 4. Tell whether the given value of the variable is a solution of the equation u 4; u 0 9. n 8 ; n 14 w 30. 4c 0; c ; w 4 6 Solve the equation. 3. r p t d h m A baseball park s average game attendance is 035 people. This is 65 more than the average attendance for last year. What was the average game attendance for last year? 39. A rectangle has a side length of 14 centimeters and an area of 98 square centimeters. Write and solve an equation to find the length of the other side of the rectangle. Perform the indicated operation ( 0.3) (6.7) Solve the equation. 44. a c z Find the perimeter and area of the rectangle. 6.8 ft ft 48. You bought four cans of chicken soup at the grocery store. You paid a total of $3.16 for all four cans. How much did each can cost? 6 Pre-Algebra Chapter

3 Chapter Test B For use after Chapter Evaluate the epression ( )(15)(1) Evaluate the epression when a 6, b 9, and c a 5b 8c 5. 8cba 6. a bc 7. A gymnast received the following scores in a competition: 8.8, 9.5, 8.9, and 9.. What was the gymnast s mean score? Complete the statement. Round to the nearest whole number qt? L yd? m 10. 9(3 4 7) 11. 5(1 8) 1. (5 6 16)3 Use the distributive property to write an equivalent variable epression. 13. (5 1) (4 3 t) 15. ( 1 7 9)3 Find the area of the rectangle or triangle y 3 11 b 8 4 For the given epression, identify the terms, like terms, coefficients, and constant terms. Then simplify the epression c 1 5c p 8 p Chapter Pre-Algebra 7

4 Continued Chapter Test B For use after Chapter. 6 4(m 13) 9m 3. r 6r 5(6r 4) 4. 3(3y 7) y 8 Write and simplify an epression for the perimeter of the triangle or rectangle r r 1 r 1 3y 3y 5 Tell whether the given value of the variable is a solution of the equation ; n 3 5n; n 8 w 30. 6c 0 c; c w 71; w Solve the equation. 3. r p t d d 36 b 36. 7(9h) Find the value of for the given triangle or rectangle with perimeter P. 38. P 56 in. 39. P 140 m 40. P 418 ft 3y in. 4 in. 140 ft a 8.a 6.5a (g 0.8) 43. (.8 4q) You can convert inches to centimeters by multiplying the number of inches n by.54. Write and solve an equation to determine the number of inches that are in centimeters. 8 Pre-Algebra Chapter

5 Chapter Test C For use after Chapter Evaluate the epression ( 4)( 8)(6)(10) Evaluate the epression when a 5.5, b 7.1, and c a 3b 10c 4. 9bca 5. abc Complete the statement. Round to the nearest whole number g? oz ft? m Use the distributive property to evaluate the epression. 8. 6( ) 9. 5( ) 10. (4 7 6)9 Use the distributive property to write an equivalent variable epression. 11. n(n 15) 1. z(10 z) 13. (4k 7)k In Eercises 14 16, use the following information. You have a rectangular garden along the back of your house. You put up fencing to enclose three sides of the garden one long side and the two short sides. The other long side is enclosed by the house (see figure). You used 58 feet of fencing to enclose the garden. Let represent the length (in feet) of a short side of the garden Write an epression for the length of a long side of the garden. 15. Use the distributive property to write and simplify an epression for the area of the garden. 16. Find the length of a long side of the garden and the area of the garden if the length of a short side is 15 feet (n.6) 3.7n y (0.1 1.y) Chapter Pre-Algebra 9

6 Continued Chapter Test C For use after Chapter Write and simplify an epression for the perimeter of the triangle or rectangle y 6 3y y In Eercises 1 3, use the following information. A cash register contains three different types of bills: one dollar bills, five dollar bills, and twenty dollar bills. There are 59 total bills. 1. Let n be the number of one dollar bills and f be the number of five dollar bills in the cash register. In terms of n and f, how many twenty dollar bills are in the cash register?. Write and simplify an epression in terms of n and f for the total amount of money, in dollars, in the cash register. 3. Of the 59 bills in the cash register, 18 are one dollar bills and 3 are five dollar bills. Find the total amount of money, in dollars, in the cash register. Tell whether the given value of the variable is a solution of the equation. 4. 5c 5 10c 100; c 5 z z 85; z Solve the equation. 6. a u 3 ( 8) 6 k c.9 c The average price of crude oil decreased by $6 per barrel from 1997 to 1998, increased by $5 per barrel from 1998 to 1999, increased by $10 per barrel from 1999 to 000, and decreased by $5 per barrel from 000 to 001. In 001, the average price of crude oil was $3 per barrel. Find the average price of crude oil in Find the value of for the given triangle or rectangle with perimeter P. 31. P 15.5 cm 3. P 10.5 mm 33. P 55.4 m 3.8 cm 5.6 cm 1.3 cm 30 Pre-Algebra Chapter

7 Chapter 1 continued 17. First, order the scores from least to greatest. Then, find the two middle values because there is an even number of values. Find the mean of the two middle values; a. lowest: 388 meters; highest: 66 meters b. highest c. 135 meters; 6058 meters Standardized Test C 1. C. I 3. C 4. F 5. B 6. G 7. C 8. I 9. B 10. H 11. C 1. I 13. A 14. G 15. C 16. H 17. Sample answer: Arrange the numbers in order: 5, 3,,, 3, 5, 6, 10. Because there is an even number of numbers, there is no middle number. Find the mean of the two middle numbers, and 3. This number is the median. The median is 0.5 F. 18 a. Cave A: 90 m; Cave B: 75 m; Cave C: 89 m; Cave D: 60 m b. greatest: Cave A; least: Cave D c. mean of lowest parts: 50 m; mean of highest parts: 8.5 m Performance Assessment 1. a. always positive; Eample: 3 5 b. either positive or negative; Eamples: 5 ( 3) 5 ( 7) c. either positive or negative; Eamples: 4 ( 6) ( ) 4 d. always negative; Eample: e. always positive; Eample: ( 4)( 4) 16 f. always positive; Eample: (5)(4) 0 g. always negative; Eample: h. always positive; Eample: 36 ( 9) 4. a. Caterer A: 8n 45; Caterer B: 9n b. Total cost with Caterer A: $669; Total cost with Caterer B: $70 c. Caterer A gives the better deal. d. Caterer B is the better choice for your friend s party because for a party of 5 people, Caterer A costs $45 and Caterer B costs $5. Chapter Quiz t 5. a c ft m; 36 m a p Terms: 4y, 8, y; Like terms: 4y and y; Coefficients: 4, ; Constant term: 8; y Terms: 6, 8c, 14, c; Like terms: 6 and 14; 8c and c; Coefficients: 8, 1; Constant terms: 6, 14; 0 7c v r Quiz ; 8 is a solution.. ( ) 10; 8 is not a solution. 3. ( 1) 8; 8 is not a solution ; 8 is a solution t 31; 103 F goals Chapter Test A t c Commutative property of addition 8. Associative property of multiplication 9. Identity property of multiplication lb ft; 180 ft 14. z a y m 18. Terms: 4k, 10, k; Like terms: 4k and k; Coefficients: 4, 1; Constant term: 10; 3k Terms: 1, w, 0; Like terms: 1 and 0; Coefficient: 1; Constant terms: 1, 0; 8 w 0. 4m y r t; $ a p y b solution 9. solution 30. not a solution 31. not a solution people ; 7 cm Pre-Algebra A3

8 Chapter continued ft; ft 48. $.79 Chapter Test B t (55y 33) sq. units 17. (34b 136) sq. units 18. (1 6) sq. units 19. Terms: 8c, 1, 5c, 4; Like terms: 8c and 5c, 1 and 4; Coefficients: 8, 5; Constant terms: 1, 4; 3c 8 0. Terms: 1, 4, 6, 0; Like terms: 1 and 0, 4 and 6; Coefficients: 4, 6; Constant terms: 1, 0; Terms: p, 8, p, 3; Like terms: p and p, 8 and 3; Coefficients:, 1; Constant terms: 8, 3; p m r 4. 10y 9 5. (4 0) units 6. 3r units 7. (9y 7) units 8. not a solution 9. solution 30. solution 31. not a solution in m ft a g q n 40.64; 16 in. Chapter Test C n 15n 1. 0z z 13. 4k 7k 14. (58 ) ft 15. (58 ) ft ft; 40 ft n y (18 68) units 0. (8y 7) units (n f ) n 15f 3. $ not a solution 5. not a solution $19 per barrel cm mm m Standardized Test A 1. C. F 3. D 4. H 5. D 6. H 7. B 8. G 9. D 10. I 11. D 1. G 13. A 14. 4m 1; m 3 15 a. 7. b km c Standardized Test B 1. B. G 3. D 4. F 5. C 6. I 7. B 8. G 9. A 10. H 11. A 1. H 13. C 14. 3n 4; 8 pieces 15. a b cents per kilowatt-hour c cent per kilowatt-hour Standardized Test C 1. B. H 3. A 4. H 5. B 6. I 7. A 8. G 9. B 10. H 11. A 1. F 13. B 14. 6p 7; p 1 15 a b. $ c. 10.1; It is less than the median change of Performance Assessment 1. Students should list the commutative properties of addition and multiplication, the associative properties of addition and multiplication, and the identity properties of addition and multiplication. The student should eplain each property in words, and then give an algebraic and numerical eample of each.. a. $136; loss b. $06; The business loses an average of $06 each year. c. Time period Change (dollars) Time period Change (dollars) A4 Pre-Algebra