Math 20 - Exam1 ReviewSheet1. Round 5,972,183 to the nearest

a) millionb) hundred thousandc) hundred

2. The weights of 5 people (in pounds) are 163, 140,213,112, 152. Find the median weight.

3. Write an estimate of each of the numbers below, andestimate the sum:

521,436 estimate:89,725 estimate:

+ 11 estimate:(don't add exactly)4. .Solve for x: 32 + x = 605. Find the perimeter of the object:

13in. .

+

18in.

10in.

22in.

6. Estimate the product:27,944 X 109,3a2

7. Find the value of the exponent: 348. A parking lot has 11 rows and with 20 cars in each row.

How many cars can be parked in the lot?9. Find the quotients:

a) 0 + 22

b) 17o

10. Write "yes" or "no" after each of the following todetermine its divisibility.

Is 7206 a) divi.sibleby 2?b) divisible by 3?c) divisible by 5?

11. Simplify: 3+4[20 - (8 - 5)2]

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12+23. Imp I : In5-",9

13. For the numbers: 16,40, 17,23a) Find the medianb) Find the arithmetic mean (average)

14. A room is 16 ft. X 30 ft. How much baseboard must beused to cover the edges of the room?

15. A room is 16 ft. X 30 ft. How much carpet is needed tocoverthe floor? .

16. A park (below) is covered with grass, with a square inthe center covered with cement. How much grass isneeded? .

30ft D30ft

120ft

200ft

17. What is the volume of a swimming pool 10 ft. wide, 20ft. long, and 4 ft. deep?

18. What is the area of the parallelogram with base = 22cm, height = 14 cm?

19. The following transactions are made to a bank accountwith a starting balance of $360: withdraw $80, withdraw$200, deposit $70. What is the final balance in theaccount?

20. Write> or < betweeneachpairof numbersto expresseach inequality: .

a) 27 18b) -41 -9

21. Findeachof the followingabsolutevalues:a) 1-361 '

b) 171

c) 101

22. Find the following:a) additive inverse of -36b) opposite of 7c) - 0

23. Simplify: -(-(-(-11)))24. Simplify: 18 + (-27)25. Simplify: -50 - (-61)26. Simplify: -52 + 31 + (-20) + 927. Solve: -26 + x = -12 .28. On a space station, the morning temperature is - 84°F.

If the temperature increases 22°F in the afternoon" whatis the final temperature?

29. A store has monthly costs of $900 for rent and $400 topurchase used clothes. The store has a monthlyrevenueof $1500from resellingthe clothe~. '

a) Is the store operating at a profit or a loss?b) What is the net profit or loss each month?

30. Simplify: (-2)(-3)(4)(-5). -42

31. Simplfy: --732. A debt of $120,000 is shared among 6 business

partners. How much does each person owe?33. Find the square roots of 49.34. Find a).J36 b) -.J10035. How much current flows through a circuit if the voltage

is 120 volts and the resistance IS40 ohms?

36. Howmuchtime does it taketo travel60 miles bikingat12 miles/hour? '

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Math 20 - Exam 2 Review Sheet

1. Evaluate the expression 3x2-2x + 6 for x = 4.. b2

2. Evaluate the expression for a = 8 and b = 10: 7a-23. Simplify: 7x - 28y + 4z - 9x + 22z + 14x4. Simplify: (8a + 45b) - (15a + 37b)5. Simplify: (3)f + 18x + 11) + (>f - 13x + 21)

6. Simplify: (y)(~4)(/)7. Simplify: (p2)

8. Simplify: (2S~)~4st)(5f)9. Simplify: (87)10; Simplify: 2xy(3x - 4y + 7)

11. Divide:2~~12. Divide: iaa b - 40a2c- 32abc4a

13. Multiply:' (2x + 1)(x + 3)14. Multiply: (5b -7)(5b +7)15. Is 153 prime or composite? If composite, give at least one factor other than itself or 1.16. List all the factors of 90.17. Show the prime factorization of 144.18. Find the greatest common factor of 60 and 75.19. Find the unknown factor: 4x( ? ) = 24>fy20. Find the unknown factor: 51(?) = 25xy2- 10121. Find the surface area of a box whose dimensions are 3 in. X 6 in. X 8 in.22. A snack stand sells drinks for.$3 and sandwiches for $5. If the cost of ingredients is

$1 for drinks and $2 for sandwiches, and D = drinks sold and S = sandwiches solda. Write an equation representing the costb. Write an equation representing the revenuec. Write an equation representing the netd. What is the net if 12 drinks and 8 sandwiches are sold?

23. Is x = - 8 a solutionof the equation6x + 7 = -48?24. Is b = -1 a solution of the equation b2= 5b + 6?25. Solve: 48 = 12y26. Solve y/6 = 1227. Solve: 15 + 6x = 5728. Solve: 2t + 4 + 3t = 4929. Solve: 8 + 3(h - 5) = 2(5h + 1) - 6h30. Translate to algebra and solve: The quotient of a number and 3 equals 7.31. Translate to algebra"and solve: 12 less than the product of a number and 5 is 48.32. Translate to algebra and solve: 6 times the sum of a number and 9 yields12.33. An isosceles triangle has equal sides that are twice as long as the base. If the

perimeter is 35 inches, how long is each side?34. Tickets to a school play cost $8 for adults and $5 for children. If 10 tickets are sold

for $68, how many of each ticket is sold?v+:J~

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1. A class has 19 mal~ and 23 female students. a) What fraction are male? b) Whatfraction are female?

2. Write>, <, or = to make a true statementa. 4/15 ? 6/17b. -9/12 ? -15/20

3. Circle the improper fractions in this list:-9/4, -3/11, 6/6, 4/6, 8/5, -147/148, -149/148

4. Change -271/11 to a mixed number.

5. Change 162 to an improper fraction.56. Reduce: -32

807. Reduce: - 243xv

54x2y

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-48x 60. ImpI: -.-

-10 27 Y

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24 6. Imp I : -+-49 7

10. Estimate, then multiply 20(~)

11. Estimate, then divide 5 2 by 2.!.3 8

12. Simplify:(- ~)'

13. Simplify: (3~4 J14. Jim made 60 phone calls, and 48 were in-state. Of the in-state calls, 1/3were to his

parents. a) What fraction of calls were in-state? b) What fraction of all calls were tohis parents? c) How many calls were made to his parents?

15. A recipe calls for 2.! cups of sugar. How much sugar should be used for making half3of the recipe?

x2y4 . -10 XS

16. Write in lowest terms: 18Z3 . 12Z

r

17. Simplify: ~ 2549

18. Solve: L = -~12 20

19. Find the least common multiple of 24, 36 and 40.

20. Build the fraction to the new denominator: 3y = ~4 20xy

21. Write equivalent expres~ions with the LCD: ~and~14 t 21t-7 5

22. Add: -+-9 6

23. Add: 7~ + 4..!.5 4

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. ImpI : ---18 18

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- 7 11. ImplY: ---27 45

26. Evaluate~a - ~b if a = 8/9and b = 5/4.4 5

27. Threerunnerswereableto run 3/4mile,7/8mileand 1~mile. Whatwas the average<' 8

distance run?28. Evaluate A = P + prt for p = 1000, r = 9/100 and t = 1/3

3x 4 829. Solve: ---=-

11 11 114y 830. Solve: - = -5 94 1 3x31. Solve: -+-=-15 9 5

32.Ana's first 4 test scores are 84,.62, and 85, and 81. What must she score on the nexttest to earn a "B" average?

33. Ed's salary is 7/8 of last year's salary. If he received a pay cut of $3000, what was hissalary last year and this year?

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