Algebra 1A: Final Exam Part 1

Transcription

1 Name: Class: Date: Algebra 1A: Final Exam Part 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Give two ways to write the algebraic expression p 10 in words. a. the product of p and 10 p times 10 c. the quotient of 10 and p 10 divided by p b. the quotient of p and 10 p divided by 10 d. p subtracted from 10 p less than Give two ways to write the expression 7t in words. a. the product of 7 and t 7 multiplied by t c. t more than 7 t added to 7 b. t subtracted from 7 t less than 7 d. the quotient of 7 and t 7 divided by t 3. Julia wrote 14 letters to friends each month for y months in a row. Write an expression to show how many total letters Julia wrote. a. 14y c. 14 y b y d. 14 y 4. Salvador s class has collected 88 cans in a food drive. They plan to sort the cans into x bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag. a. 88 x c x b. 88x d. 88 x. Evaluate the expression m + o for m = 9 and o = 7. a. 1 c. 2 b. 63 d Evaluate the expression q v for q = and v = 1. a. 6 c. b. 4 d Evaluate the expression xy for x = 6 and y = 3. a. 9 c. 18 b. 24 d Evaluate the expression a b for a = 24 and b = 8. a. 3 c. 16 b. 4 d

2 Name: 9. Juan scored 26 points in the first half of the basketball game, and he scored n points in the second half of the game. Write an expression to determine the number of points he scored in all. Then, find the number of points he scored in all if he scored 18 points in the second half of the game. a n; 44 points c. 26n; 44 points 26 b. ; 8 points d. 26 n; 8 points n 10. Salvador has saved 130 sand dollars and wants to give them away equally to n friends. Write an expression to show how many sand dollars each of Salvador s friends will receive. Then, find the total number of sand dollars each of Salvador s friends will get if Salvador gives them to 10 friends. 130 a. 130 n; 120 sand dollars c. ; 13 sand dollars n b. 130n; 13 sand dollars d n; 120 sand dollars 11. Isabel reads 1 books from the library each month for y months in a row. Write an expression to show how many books Isabel read in all. Then, find the number of books Isabel read if she read for 12 months. a. 1 + y; 27 books c. 1y; 180 books 1 b. 1 y; 27 books d. ; 180 books y 12. Evaluate the expression 2m + n for m = 7 and n = 9. a. 2 c. 23 b. 18 d Solve p 6 = 16. Check your answer. a. p = 22 c. p = 10 b. p = 22 d. p = Solve s + 6 = 48. Check your answer. a. s = 42 c. s = 2 b. s = 43 d. s = 4 1. Solve 14 + s = 32. a. s = 46 c. s = 18 b. s = 18 d. s = A toy company's total payment for salaries for the first two months of 200 is $21,894. Write and solve an equation to find the salaries for the second month if the first month s salaries are $10,20. a. 10,20 + x = 21,894 The salaries for the second month are $32,099. b. 10,20 + x = 21,894 The salaries for the second month are $11,689. c. 10,20 + x = 21,894 The salaries for the second month are $21,894. d. 10,20 + x = 21,894 The salaries for the second month are $10,947. 2

3 Name: 17. The range of a set of scores is 23, and the lowest score is 33. Write and solve an equation to find the highest score. (Hint: In a data set, the range is the difference between the highest and the lowest values.) a. h 33 = 2 23 The highest score is 79. b. h + 23 = 33 The highest score is 10. c. h + 33 = 23 The highest score is 10. d. h 33 = 23 The highest score is Solve q = 41. Check your answer. a. q = 8 1 c. q = 20 b. q = 36 d. q = Solve 3n = 42. Check your answer. a. n = 4 c. n = 14 b. n = 39 d. n = Solve 2 10 b = 99. a. b = 20 c. b = 10 b. b = 49 d. b = The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by. Suppose you are 17 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder. a. = d, so t is about 0.3 seconds. t b. t = d, so t is about 3.4 seconds. c. t = d, so t is about 22 seconds. d. t = d, so t is about 8 seconds. 22. If 4x = 32, find the value of 3 x. a. c. 3 b. 3 d. 23. Solve 44 = 14 2a. a. a = 1 c. a = 29 b. a = 29 d. a = Solve f a. f = 20 c. f = 20 b. f = 101 d. f = 101 3

4 Name: 2. Solve 43a a = 27. a. a = 1 c. a = 17 b. a = 17 d. a = Devon pays $24.9 for her roller skates. After that she pays $3.9 for each visit to the roller rink. What is the greatest number of visits she can afford if the total amount she spends cannot be more than $76.30? a. 3 c. 1 b. 13 d If 8y 8 = 24, find the value of 2y. a. 2 c. 11 b. 8 d The formula p = nc e gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted. If p = 370, n = 3000, and e = 900, what is the value of c? a c. 1. b. 1.2 d Solve 0q 43 = 2q 81. a. q = 38 c. q = 38 b. q = 19 d. q = Solve n 8 + n = 1 4n. a. n = c. n = b. n = d. n = Solve 6m 6 + 8m = + 2m 1. Tell whether the equation has infinitely many solutions or no solutions. a. Two solutions c. Only one solution b. Infinitely many solutions d. No solutions 32. A video store charges a monthly membership fee of $7.0, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee, but it costs $2.0 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company? a. 9 movies c. 3 movies b. movies d. 7 movies 33. A professional cyclist is training for the Tour de France. What was his average speed in miles per hour if he rode the 120 miles from Laval to Blois in 4.7 hours? Use the formula d = rt, and round your answer to the nearest tenth. a mph c mph b. 2. mph d mph 34. The formula for the resistance of a conductor with voltage V and current I is r = V. Solve for V. I a. I = Vr c. V = I r b. V = r I d. V = Ir 4

5 Name: 3. Solve 4x z = y for x. a. x = y + z 4 b. x = y z 4 c. x = y + z 4 d. x = y 4 + z 36. Solve 3.8y + 4 x + 2 = 0 for y. 7 a. y = c. y = 4 7 x 2 b. y = 20 x 10 d. y = 76 x Solve 7 x 6 = 49. a. x = or x = 43 c. x = 13 or x = 1 b. x = d. x = Solve 6x 9 + = 2. a. No solution c. x = 11 6 b. x = 8 3 d. x = The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? a. 14 ounces c ounces b. 20 ounces d. 3. ounces 40. A pipe is leaking at the rate of 8 fluid ounces per minute. Use dimensional analysis to find out how many gallons the pipe is leaking per hour. a. 3,840 gal/h c. 3.7 gal/h b gal/h d gal/h 41. Solve the proportion 6 = x 30. a. x = 0.03 c. x = 26 b. x = 36 d. x = Find the value of MN if AB = 21 cm, BC = 16.8 cm, and LM = 28 cm. ABCD LMNO a cm c cm b cm d cm

6 Name: 43. On a sunny day, a -foot red kangaroo casts a shadow that is 7 feet long. The shadow of a nearby eucalyptus tree is 3 feet long. Write and solve a proportion to find the height of the tree. a. b. c. d. = = = ; 49 feet ; 2 feet ; 17 feet = ; 24 feet 44. A right triangle has legs 1 inches and 12 inches. Every dimension is multiplied by 1 to form a new right 3 triangle with legs inches and 4 inches. How is the ratio of the areas related to the ratio of corresponding sides? a. The ratio of the areas is equal to the ratio of the corresponding sides. b. The ratio of the areas is the cube of the ratio of the corresponding sides. c. The ratio of the areas is the square of the ratio of the corresponding sides. d. None of the above 4. Write the possible range of the measurement to the nearest hundredth. 2 km ± % a km 2.0 km c km 2.63 km b km 26.2 km d. 20 km 30 km 46. Write the possible range of the measurement to the nearest hundredth. 40 km ± 1% a km 40.2 km c. 39 km 41 km b km km d km 40.4 km 6