2011 reviewer for mtap - 4

8/13/2019 2011 Reviewer for MTAP - 4

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201 1 Metnoha nk-N4'iAF-DepEd Nfl ath CNla IiengeFirst Yean'

Solve each item and write the answer in the blank before the number. Usetheformax+by+g=g1. What is the name sf N = {1, 2, 3, 4, 5 ... }?*--=.-2. Round 434.243 to the nearcst ten.3. What is the greatest cornmon factor of 4g and 60?

^",.^',i= J,J.4. Wnte eouarltoris n

4. What is the least connmon multipie of 48 and 60?5. What rational nurnber is between * and +?"=-6" which is biesen {} or l ? I

I----7. wnatis Zl+:l . +l?'-3 -1 3I-,1 .. 3

-8.Evaluate ,, i. i1ii I-.----9. ehange to sciei'ltific notation 0.00026tr. i 'i,

-_-10. To which subset of the set of rea nrirnber does rE Uehngf I ,I-..._=..-11. Feten has a small faffn measurhg 240 rn by 410 rn, ltrow many hechrep of land doesPeter own?l

-.----12A'.cylindriaal water tank has a diarneter of 1 m and a height of t,ZS *.'Wtrat ls ttrecapacity ifi liters? I :

I

--n3. Two nurnbers are in the ratio of 3:5. ]hek s:.rm is 88, what is the bigger nurmber?-='-._--14. A picture is 20 am by 60. cin. If its is enlarged so that its ilrorter side nlcrimes 30 cnn,. what is the area ofthe resulting picture? iIil

-n5.

Evaluate the expresion 3x3 + 4x2 - x at x = z. i ',1

-.16.

Sirnplify 2(x2 +1) + 3(x+1)2 -3x. IU. Srnplify 2(x2+x-1)-3(x-2)2. i ;

=--n8" Multiply (a2 +b) hy (a-h).l-i4t - r^251+36

-19.

Evaluate: . ;- .^l-151- i-101 i20. A piece of cartoiina is 60 cm by 48 cm. it.is to be cut into the biggesi pgssibie squareswithout any material wasted. llow many squares can be curt? I

I

-21.Asmallpassengerplaneflewadistanceof54kn.x1in70minUieswhaiwdsthespeecifl

kilometers per hourc to the nearest knl 1l,..-*--22. What is the sum of $e first 50 countimg numbers n + 2 + 3 + ... + 49 + 50?' ?3. Four conseci.,tive odd numbers are added. f the srnallest of ffie 4 is 2x - 5, what ls theksurn? t,I24. ,An edge 0f a cuhe is x + 3 amj. what is its volLime? I


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25. What is the remainder if lxJ -2x + 2 is divided by x - 2?

--26.By what will 3x2+x+1 be mulriplied to get 6x3 +5x2 + 3x+ 1?

27. Solve for a from the equatio,t 2a + 1 = a - 1. ,--2........-...._-.-zq. Solve tte inEuality 2x - 1 > 3 - x. il

I......--.-......".-29. .Jose got scores of go, g5, g2 and 76 in the four exams. what qrade musl he oet in thefrfth exarn to have an average of 8{o/o or better? | -i)- 30' The unit digit of a number is one more than twice the tens digit. f the digi$ pre reversedthe resulting nurnber is 45 more that th original number. Whit is the orl{iriali numOerr_=-31. Given the points A (0, 0), B(4, 0), c(2, a), and D(-2, 4). whit figure is aalo;ir tne pointsare plotted and connected in order? i

-32.

which of the foflowing i#re functions? a.xz , 2yz =25 ib.x2 .2x-y2 _25 c. x2 .. x ., 2y2 , 8 = 0 (.v_J:r'- si,_33. What is the range of the funaion y = fi? I '_2 .t....=_--.34, What is the domain of the function v = o - '? ix_Za, rv ol i) LllE uu lcfl Ut ffte IUnClon y = __ __ 1 Ix_ I :'_ 35. What is the stope of a line pasing through p1(3,2) and p2(+,1)? Ii,...-....--........-.-..'-36. What is the x intercept of ttle line 2x _ 5y + g = 0? Lt'-.....'.-.,.'-._' --37 The x - intercept-and y - iniqrcept of a rine are 2 and (-5) respectirielir. write theequation ofthe line? ; :i-=_-**_-- 38 Two veftics of a square located in the first guadrant are at (0, 0) and 10,;11. where are

..............'..-_..--39. What is the product of (3x + 2y)(x - 3y)? i40. Com pletely. factor 1aa -ba;.41. Factor Z7x3 - +Bxyz .'

. A. What is ihe greate* common factor of 27 a5b3cz and 9a3b5c3?

-43.

Factor 3ac + 3ad + 2cb + 2db,

i

-') ---44. Simolitu: ':-l-jl- '(9x2 . 1Xx2 .4)",=.-.--45. Multiolv: ,^ * 9x - 21 . x2 |' ' 3x_7 ZI 35, I

.-----..-.-'-.--46. simptiry: I:1 , 2x+J - 3I2 +1. I' x_5 x 5 .2 rc ;x r \.. _25 ilr. 47' Find the biggest of three consecutive odd npmbers such that the producioi the secondand third is greater than the square of fie Rrst by i10. i l dlls L rrq 5 grqdrer man rne square or me rtr$ Dy I]u. il. '-'----48. The sum oJ two numbers is 24 and their produci is 143. Find the numbers. i 'r--;--;--- --49. S0lve for x and y:'2x1 3y = TAx-x ii a15-. l :' 50. A boat travels r1 hours to go 20 km downstrea n andz$nours to r,etr,rrf. Find the rate

If the boat In still water,


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20tr 11 ftfletnohank-NilTAF-DepEd ftlath ChatIengeSecond Vean

Isolve each item ard wr;te dqe asnswer in the blank before the niJrnber. Give equatiofls in dte fonilax+by+c=0,A

-isthe pairinE between the elements 0f two sets according to soire rule,

The set of all first elements of the ordered paiis is called the _ of a ,relation.iA -- is a relation in which no two distinct ordered pai0.s have ihe same frrstelemenm. .What is ttre range of tire following set 0f ordened pairs: (i, -Z), (3, 0), (5, i), (7, 3)?

5. The domain of Lile funcUon f(x) is {0, -3, -6}. ff f(x) - fi wnat is *,e racOet6. What is the slope of he line passing through the poinh (-3, 2) and (2, +)?i7. Solve fonx: 2oo = &-n.3

--8.The surn 0f slee consecutiv even numbers is 24. what is the bigge6t 0f ffie thi.eenunrbens?

9. Find the value of x frorn the equation. # = ql' ,10. What is the equation of a line parallei tc the y-axts and passrng throuEh (-f,1i.. Write the equation of the line parallei to 2x - 3y + tro = 0 and the passill-grir61i ?\1.2. If x . - 5, what is y inn the equaiion 3x + 5y = X0?X3. Two airs started &ofn the same point traveli,'lE iri opposite dlrection, onewo airs started &0m the same point traveling i 'i opposite direction. one traveledthe speed o: tlne ofiher. After 5 hours they v/ere 600 km apart. What is tl'ie speec

2=0?X5. Solve the equations 2x + 3y + 2 = 0 and x + 4y + 6 = 0.n6. Five yeals hence, a boy's age uvill be four tinnes the square of his age q;neliow old is fl:e boyrU, Gail soid 7 adult tickeb and 3 student tickets for a schooi play and collect-edso|d 3 adu0t uckeE and 7 student tickets and aollected Pzzs, Nc* m**i a

ticket cost?

--20. The dlffierence ktweegl two numkrs is 5. Twice &e smaller number lesslarger. What i6 the larger number? ;2tr" The dia "neten of a aertaln molecule is 0.00052 rnm.

rootation. I22. Evaluate (27)3.Z23. Evaluate (64)3 .

1.2.3.

4.

Write the diamd"ei in scientifre


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-- - ---.-...-.'--.-- 26, What is the domain of f(x1 _ _2 - x2 ,(x -1)(2_ 3x)-----..-..-.'-..--._22. Lxpand 3x2(x2 - 2x + l).

.___-............-._-28. What is the product of (a2 + b)(a _b)?---_=-29. txpand (x+ZXx2 _ qx _i).-__.- . 30. ractor (9x2 *6) jn the real numbers.=-__31. Factor completely (2x _+y1Z _1y_2gz

32. Simptifu -__-t?_Zxt +3x - 2_ ._ -ll_ Ratilna ze gE defid?2ifiaior6,, = 1=o..-__---rq-*.-. &-=.,o

4r_ v5 -il3" x-3 _2 ^',1aI -3--=- -- -. .i x *2):, YEr.l4i.=="-..t1 . 1

------.........---.-3e. soiye ahe ecuatkln. x2+1_6=9. i;39. The roois ofa quadratic eguahon *. lu.r;. lVhat is ihe equaton? lti-----...-.---_40. The roots 0f a quadratic equation are 2 + j? , What ls the eguation? :----41. The lengtfr of a rectangle is 4 less thdn twice the wit Itne lengitrz lth lt the area is 24icn'2, what is

_ _=-.-42, Solve the iflequality x2 + x _12 > 0,--------' -- '--43' A spring erongares j'r:1rr,^.rln. L"s it is subjecred. rf a 20 cm r"ng ,prin]s eronqares sm wrth a 10 kg road, how ron-o * rthe sp-]ng iiir th" roao {s 20 kg?---------.-.-..--4-#i',,1#.:l;?:,s:unc_eIe:elv9sfrom a risht source varcrinveJery witnitne squa,e or,,*.,* .,, ;'::';Tn ; : I,[l[i;.[ii ::ff[: *"', il ffi ti;' ffH1": T--==.=--- 45. Given the aiifi.]-..,.etic progression tj, Z,:j,...lwna is rhe 6rh rerm? ]_=-_-46. Insert two geomet.k means between 2 and 6.75. l

47: Find the sum of the geometric series 1,i,+,.., jI__48. Solve the radicalequation x+l_ Dxlj I.te. sorve the radiel equation filj = 1 * l[ *l . i

___ jy. sorve me radical equation /y 1j = 1 * r,[ *l . i ]__ s0. A vendor boughr wT:,rl.t:f.Ltto_:ach and pjneappjes at F3s each, lflhe bousht e0ieces of frujts anc paia a tota, ot FzzSO; i'r; ;;; uljedoo,es c,c he r1,,,:

2011 reviewer for mtap - 4

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