Topic 4 Test Review of Algebra

TOPIC 4 Test REVIEW 1. Circle the following number( s) that is written in scientific notation? 32xl0 3 � 3.2 32 2. Write the following numbers in order from least to greatest. 7.25 х 10-4 7.25 х10° 7.25 х 10-6 7.25 х 10 3 3. Suppose your calculator display shows 5.32Е+12. Express this result in scientific notation. 5.32Е+12= ·-31-) !), �)(. / 0 1 "2 4. Express the following numbers in scientific notation. 102,000 = 1.02x. /QG? 8,456,000 = i. ц, с;-(ох J ОС:, 67 million = L,:J х{ 0·1 5. Express the following numbers in standard form. 9.32 х10 6= Cj1 -52DJ ойО 6. Use the tаЫе to find а pattem. Number Powers ofl0 5000 5 х 103 5 х 102 500 5 х 101 50 5 х 10 ° 5 5 х 10- 1 0.5 5 х 10-2 0.05 5 х 1 o-j 0.005 Which ofthe following is а pattem in the tаЫе? а) Negative exponents make the number increase, Ь) Negative exponents make the value equal to О. ositive exponents make the number decrease. -� �ositive exponents make the number increase. 1.045х107 = 1 1 DJ t'SD; оОО 7а. Think About The Process А young man and an old man are having the follicles of hair on their head measured Ьу а machine. The young man has 72,000,000 hair follicles and the old man has 1.2 х 107 follicles on his head. Please write the number of follicles on the young man's head in scientific notation. 7Ь. The young man has more hair on his head. How many times more hair follicles does the young man have when compared to the old man? ·7 2х / О7 . ; • 11/Jf!S. U 1 -h / ,2Х/0- 8. Circle the number which is e;t�r 9х104 ? 11f{с_ of- ·---jtvL fJwf2лJ 9. Express the following numbers in scientific notation: 0.0004 = lf хtо~-ч- 0.0125 = ),25Х /()�2 10. Writethe following numbers in standard form: .QO!o92 7.74х10-7 = g 77Ч , ессдУ) 11. Multiple Representations The numbers below represent 0.0005 as а product oftwo factors. Which product is written in scientific notation? о.sх10-з 5х104 12. Subtract and write your answer in scientific notation. (4,2 х 104)- (2.7 х 104) sox10- 5 13. Simplify the expression. Write the answer in scientific notation. t/-2 X,/Q�q (7х10 4)(6х10-5) . Jf-, 1- Х /О .- � 14. Divide. Express your answer in scientific notation. 15. Grocery Shopping: А recent study shows that the average person buys 160 bottles ofwater а year. Ifthere are 270 million people in the United States, how many bottles of water are purchased Ьу Americans each year? Solve using SCIENТIFIC ONL У!!! / {оО 2701 (ХУ); ах) ( /. �K/D2J (d. 7 х/(]%) 10 !f,82 х./0 15 16. Two planets are 9.26 х 10 miles apart. 1 light year is about 4.76 х 10 12 miles. How many light years are the planets apart? Express your answer in scientific notation. 9,2-& х/Ф /. q х_ / () ?:> • lf,7iox/01 2 17. The diameter of а cheek cell is бх 10-5 m. The diameter ofа white Ыооd cell is 1 х 1 o-5 m. А cheek cell is how many times as large as а white Ыооd cell? {о х.10·-� / ><--1 Q -5' 18. What is the value ofn? J. (5.8 х 107 ) = (2х102 )(2.9 х 10") ;,., .. ,. • ill !а ,. "' " lli! !11 = "' Simplify each proЫem and express the answer in sclentific notatlon. Answer: Answer: /. Ч, 5) (5 Х 10 5 ) - (8 х x /Ql 1 а4) 9 2) (5 Х 10 ) Add/�ifк1,1l ..:) + (1 О Х 108) q O \ к . о 1 + '1 5 х. 10 . IQ С\ Answer: � Х 4) (3 х 10 4 );. (2 2 х 10 ) 3x1oit - ; ()2. Х-/ очAnswer: ,,2,qg'x./d+ 6 5;iz10 6 - , 8 >е/05 Jf.2X[Q'5 б} (8 х 10 ) + (9х 105) <гх /ОР -,. 9 к/о h ?:.9xln�.- Simplify each proЫem and express the answer in scientific notatio�l,l\��y/i)\ \'\( 1) 7 5 х 10 4х 10 3 Answer: 3) (3 х 1а3){2 х 102) 6 0 1 !о Х Answer: 5) 17Х108 4Х 105 4 ' D I 81 х. • ts Answer: !) • Jf >( /Q 2) (4 х 106) (б х 10 4 /,'2Ь х.10 "' .,,_ 5,,q7 Х, /O (r; (i Х \о-1)-{�х. 10 1) "' .. 1о ь 3) (7 Х 107) + {4Х 106) "' "' ) 1t1 0 - . _,cJ3 х. 1 (д у._ � • • 4 6 1) (бх10 )-(3х10 и 3 0 / ><. 25 if• . 8 ) 1а4 4) 15х 8хН>2 Answer: /,�7,r; ;<{ 0 0- 2 6) ( 9Х 10 )(4 Х 1а5) 3l х tD' е) :· • How many times blgger is the distance from Earth to the sun of 9.3 х 10 6 miles than the furthest distance from Earth tothe moon оfЗ х 105 mlles? X. jQ<.IO°l /1(! =- J_,<;""¼/QS: х/ О ч 2: ,gffix_ jQ7 . The state of Colorado covers about 1.04 х 10 5 square miles. The lndian Ocean covers about es Ыgger than Colorado 1s the Indlan Ocean? 2.808 х 10 7 s uare miles. How any � � : J, 7 Х / D 2.. ier of students at Effentown Co\lege'? 3х.10� E\\�rг\a\.uf\. А 1 С 30 Oif I х о GmVе 'Pen 3х \c/t '8X.\D3 D 10.0 Review of Exponents: S:impHfy. А в 1. $ с .... 52: 19. Use the properties ofexponents to simplify ( 3asb 4 . 1 thе expressюn: ----ть 20 . S.1mpl'fy 18а (о �J \ Х '--.__) \О \ 8) 4v 3 • vu2 LЧ ь·- 3 2 -4Ь-3 9) 4а Ь • 3а /J.cC' ') ' !1) (, 4) 0 ?'з ( 8n4-z.6 1 ·- . 2 аь n3i3 ) gз \2 ·- -�. 1 q 5 \ z \\ 51&- \'/5 v "гu 2-(