Accuplacer Math Packet

Transcription

1 College Level Math Accuplacer Math Packet a. 0 b. 23 c. 1 d. None of the above. a b c d (6x -3 y 5 )(-7x 2 y -9 ) a. 42x -6 y -45 b. -42x -6 y -45 c. -42x -1 y -4 d. 42x -1 y x2 y 2 x 1 y a. x 3 y 3 b. x3 y 3 c. y3 x 3 d. None of the above. 5. ( 24a10 b 8 c 7 12a 6 b 3 c 5 )-5 a. 24a 50 b 40 c 35 12a 30 b 15 c 25

2 b. a 50 b 40 c 35 32a 30 b 15 c 25 b 25 c. 32a 20 c 10 d. None of the above. 6. Covert 234,600,000,000 to scientific notation. a x b x c x d x Convert 6.27 x a. 62,700,000,000 b c d. None of the above. 8. (-5m 4 n 2 )(6m 2 n 3 ) a. 30m 8 n 6 b. -30m 8 n 6 c. 30m 6 n 5 d. -30m 6 n 5 9. (3x-2) 2 a. 9x 2 12x + 4 b. 9x x 4 c. 9x 2 10x + 4 d. 9x x (y 2)(y + 2)(y 2 + 4)

3 a. y b. y 4 16 c. y d. y A ball was kicked into the air from a balcony 20 feet above the ground, and the ball s height above the ground, in feet, t seconds after the ball was kicked was h(t)= 20 16t t. What was the maximum height, in feet, of the ball above the ground after it was kicked? a. 32 feet b. 34 feet c. 36 feet d. 40 feet 12. If 3t -7= 5t, then 6t= a. 21 b. -7 c. -21 d The variables x and y are directly proportional, and y=2 when x=3. What is the value of y when x=9? a. 4 b. 6 c. 8 d There are 3x-2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x-16 trees planted in the parcel, how many rows of trees are there in the parcel? a. 21x-18

4 b. 21x-14 c. 8x d (3x 2 y 3 ) 3 = a. 3x 5 y 6 b. 9x 6 y 9 c. 27x 5 y 6 d. 27x 6 y A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered? a. 7 b. 8 c. 9 d Which of the following equations has both 1 and -3 as solutions? a. x 2-2x-3=0 b. x 2 +2x-3=0 c. x 2-4x=3=0 d. x 2 +4x+3=0 18. In the xy-plane, what is the y-intercept of the graph of the equation y=2(x+3)(x-4)? a. -24 b. -12 c. -2 d. 12

5 19. x 4-1= a. (x+1)(x-1)(x 2 +1) b. (x+1) 2 (x-1) 2 c. (x+1) 3 (x-1) 1 d. (x-1) If 5 x = 4, then x= a. -21 b. -11 c. 1 d If x 1 = 20, then x= x a. -21 b. -19 c d The yard behind the Cindy s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet? a. 36 ft 2 b. 144 ft 2 c. 243 ft 2 d. 486 ft There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do

6 not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part? a. 2 5 b. 1 2 c. 3 5 d x2 y 2 (x y) 2 1 a. 1 x+y x y x y b. x 2 2xy+y 2 c. x+y x y d. None of the above. 25. Simplify y5 5y 4 +4y 3 y 3 6y 2 +8y. a. y3 (y 2 5y+4) y(y 2 6y+8) b. y3 (y 1) y(y 2) c. y(y 1) (y 2) d. None of the above. 2.5 x Compute. 3.2 x a x b x 10 5 c x 10 5 d x 10-22

7 27. In 2000, the population of Tucson, Arizona was 124,943. By 2008, the population had decreased to 112. Find the average rate of change in population from 2000 to a b c d For numbers 28-31, consider the following numbers: -7, 43, 4 9 3, 7, 0, , 64, - 2, 4 3, 12, 102, Which are whole numbers? 3 a. 43, 64, 102 b. 43, 0, c. 102, 43, 0, 64 d. All of the above. 29. Which are real numbers? 3 a. -7, 43, 0, 64, b. -7, 43, 0, 64 c. All of the above. d. None of the above., 102, 4 3 4, Which are natural numbers? a. 0, 43, 102 b. 43, c. 43, 64, 102 d. None of the above.

8 31. Which are integers? a. -7, 43, 0, 102 b. 43, 0, 102, - 4, 12, c. -7, 43, 0, 64, 102 d. All of the above. 32. Write a slope-intercept equation for the line containing the point (-1,4) and parallel to line 3x + 4y = 7. a. y= 3 4 x b. y= 3 4 x c. y= 3 4 x d. None of the above. Use the following information to solve problems Given that f(x)= 2x 5 and g(x) = x 2-3x (f g)(x) a. 2x 2 +6x+11 b. 2x 2-6x+21 c. 2x 2 +6x-21 d. 2x 2-6x (g f)(x) a. 4x 2 +26x+48 b. 4x 2-14x+48 c. 4x 2-26x+48 d. -4x+26x (f f)(x) a. 4x-15

9 b. 4x-5 c. 4x+15 d. 4x Simplify i 2. a. 1 b. i c. -1 d. i 37. Simplify. (5+7i)(5-7i) a. -24 b. 74 c. 24 d X 3 +2x 2-5x-6 (x+1) a. x 2 -x+6 b. X 2 +x-6 c. x 2 +x-6 d. x 2 -x In 1970, only 4.7% of the U.S. population was foreign-born, while in 2007, 12.6% of the population was foreign-born (Sources: Annual Social and Economic Supplements, Current Population Surveys, U.S. Census Bureau, U.S. Department of Commerce). The quartic function f(x)= x x x x ,

10 where x is the number of years since 1900, can be used to estimate the percent of the U.S. population for years 1900 to 2007 that was foreignborn. Using this function, estimate the percent of the population that was foreign-born in 1930, in 1990, and in a..113;.079;.105 b. 1.13%;.79%; 1.05% c. 1930: 11.3%; 1990: 7.9%; 2000: 10.5% d. Both A and C 40. Find (f+g)(x) given f(x)=x 2-4 and g(x)=x+2. a. x 2 +x+2 b. x 2 -x-8 c. x 2 +x+8 d. x 2 +x-2

11 Elementary Algebra

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17 Arithmetic Operations with whole numbers and fractions 1. A plane is flying at an altitude of 5987 feet. It then increases its altitude by 2398 feet. What is the plane s new altitude? a) 3589 b) 8385 c) 3699 d) The owner of an agricultural feed store ordered 1 3 cubic yard of oats, 3 8 cubic yard of corn and 1 4 cubic yard of mixed grains. What was the total cubic yards of products purchased? a) 1 5 b) 5 6 c) d) Two cars start driving the same direction from the same point in a straight line. After 10 hours, the first car has traveled 632 miles and the second car has traveled 441 miles. How far apart are the cars? a) 191 miles b) 1073 miles c) 182 miles d) 218 miles 4. Tom and Sally ordered a pizza. Tom ate 1/3 of the pizza and Sally had 2. How much pizza is left 5 over? a) 5 8 b) 3 8 c) d) Divide a) 1 6 b) 27 8 c) 5 13 d) Convert 7 into a decimal. 20 a) b) c) 0.35 d) 3.5

18 7. Which of the following is not equivalent to ? a) b) c) d) Find the product of 43 and 18. a) 61 b) 774 c) 126 d) Find the difference of a) b) 1 15 c) d) Find the product of 2 3 x 1 5. a) 3 8 b) 2 15 c) 8 15 d) 2 8 B. Operations with decimals and percents 11. Renee s paycheck stub showed wages of $ at the regular rate of pay and $36.10 at the overtime rate. What were her total wages? a) $ b) $ c) $ d) Chris Howe works at Cub Foods. During one week he worked 3.5 hours, 7.4 hours and 5 hours. How many hours did he work altogether that week? a) 11.4 hours b) 10.4 hours c) 15.9 hours d) 14.9 hours 13. David went to a store and bought $12.72 worth of merchandise. He paid with a 20 dollar bill. How much change does David get back? a) $32.72 b) $7.28 c) $17.28 d) $ A pizza consists of 20 slices. 45% of the slices have pepperoni on them. How many slices of the pizza do NOT have pepperoni on them?

19 a) 11 b) 9 c) 10 d) Consider the real number The digit 3 is in the place. a) tenths b) thousandths c) hundredths d) ten thousandths 16. In simplest form, which of the following fractions represents the decimal 0.05? a) b) 100 c) 5 10 d) % of the animals taken in by the Animal Humane Society in one year were cats. If 8,000 cats were taken in that year, how many total animals were taken in? a) 3,200 b) 2,000 c) 20,000 d) 32, % of the 4.7 million people bitten annually by dogs are children. How many of the people bitten by dogs are children? a) 2.35 million b) 9.4 million c) 10.6 million d) 235 million 19. In an office of 20 people, 8 are not parents and 12 are single parents. What percent of the people in the office are single parents? a) 15% b) 66% c) 40% d) 60% 20. A recipe calls for 3 cups of flour. If you only have a 1 cup to measure the flour, how many 2 1 -cups will you need for the recipe? 2 a) 6 b) 1 ½ c) 5 d) 3 ½ is what percent of 75? a) 0.4% b) 2.5% c) 40% d) 250% is approximately a) 40 b) 4,000 c) 30 d) 3000

20 23. 25% of 1595 is approximately? a) 64 b) 6,400 c) 400 d) 40, Find the quotient a) 1.52 b) 15.2 c) 152 d) Find the product: 0.3 x 0.2 a) 6 b) 0.6 c) 0.06 d) What is 20% of 24? a) 12 b) 48 c) 4.8 d) The fraction 1 is equal to what percentage? 5 a) 25% b) 20% c) 5% d) 15% 28. All of the following are equivalent to 40 percent, EXCEPT a) 2 5 b) 4 10 c) d) C. Applications and problem Solving 29. A shirt costs $13.00 at a local store. If the sales tax on the shirt is 6%, how much money is spent to purchase the shirt? a) $13.06 b) $13.78 c) $19.00 d) $ Richard stopped at a bank and withdrew 30% of his $9,360 savings. After this, he stopped at a second bank and withdrew 20% of his $10,050 checking account. How much money did he withdraw in total? a) $4,818 b) 3,882 c) $9,705 d) $5,823

21 31. Juan is putting up a wallpaper border around his rectangular kitchen that measures 9 feet long by 12 feet wide. How many feet of wallpaper border does he need? a) 21 feet b) 42 feet c) 108 feet d) 98 feet 32. If a large circular pizza has a diameter of about 16 inches, what is the approximate area of the pizza? a) 200 sq in b) 50 sq in c) 800 sq in d) 400 sq in 33. If a car can go 300 miles on 12 gallons, how far can it go on 1 gallon? a) 24 miles b) 288 miles c) 3600 miles d) 25 miles 34. Suppose you hike 14 miles in 4 hours. Write the rate at which you hiked as a fraction in lowest terms. a) 7miles/2hours b) 2miles/7hours c) 14 miles/4 hours d) 7 hours/2 miles 35. If you earn $31.25 for 5 hours of work, what is you hourly rate? a) $6.13 per hour b) $6.32 per hour c) $6.25 per hour d) $5.58 per hour 36. A towel manufacture requires 5/8 yard of fabric for each towel. Find the number of towels that can be made from 600 yards of fabric. a) 375 b) 300 c) 860 d) Sally needs to ride her bike 15 miles to the grocery store. If she has already ridden 11 miles, how many more miles must she ride? a) 15 miles b) 11 miles c) 4 miles d) 5 miles

22 Solution Key for Arithmetic Practice Exam for ACCUPLACER 1. b 2. d 3. a 4. d 5. b 6. c 7. d 8. b 9. c 10. b 11. a 12. c 13. b 14. a 15. d 16. a 17. c 18. a 19. d 20. a 21. c 22. a 23. c 24. b 25. c 26. c 27. b 28. c 29. b 30. a 31. b 32. a 33. d 34. a 35. c 36. d 37. c