Notes of SAT & ACT G.5, Maths & SAT & ACT & EST Answered - Elementary Algebra 2 - Study Material
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Orientation Exercises, , x+ytzZ, , 1. The formula A = is used to find, , , , the average (A) of three numbers x, y, and z., What is the average of 86, 113, and 119?, , A. 1022 D. 110, 3, , BT 106 E. 160, , Cc. 108, , 2. Inthe formula C= 5(F — 32), find Cif, , 9, CazZ(@_w) F=68., 9 A 1, , D. 180, B. 9 E. None of the above, ~~ 20, 3. Solve forx: x+ 4.720, 3 3, A. -72 p., 3, B, x4 E. 8, 3, a 8, s 4. Solve for s: 7 =4, Sih, 4 y A. ll B= 30, B. 14 E. None of the above, Cc. 16, , 5. What is the larger solution to the equation, , 2 —5=0?, , ase ( ake 5-3) * +x 5=0?, on Ye caledlter B, , (x 4p) (se-4 ), , Xe yess, , 6. Which of the following is a factorization of, the polynomial 2x° + x — 6?, , Use(role Sy) A. 22+x-3), , B. Qx+2)(x—-3), C. (2x+3)e—2), (X=3)(x42, , = (2x. 3) G42), , D. 2, E 5, , ee, , Nl=nvlow, , Br (2x—3)(x+2), E. (2x+6)(x-1), , , , 7. David received three grades of 85, 92, and, 100 on his first 3 tests. What must he get, on the fourth test to get a 90 average?, , uA 83 Vs + 92, , B. 87 ptt 40, c. 90, , mB ge 277 +x =3¢0, , E., , None of the above [e=33), , 8. Heidi must divide 870 bales of hay between, three stables so that the second has 90 bales, more than the first, but 150 less than the, third. How many bales does the third stable, , receive? 4s dnd wd, A. 180 G £, Se KY + (xt) + e+ 904 '5d=Te, Cc. 310 3x +336 <= 376, wr 420 x=, E. None of the above, , §o, Tivd = K+ 704 150 =i \, , Use the table below to answer question 9., , , , , , , , , , , , , , , , , , , , , , x 3] 0 i 3, fo | 2] 0; 0] 7, aa) | 39] 3| GI 39, hx) | CT4Y_— 1 [2 | -20, , , , 9. 2x f3)—3 x g(1) + h(-3) =, , A 120 ax G@- 307+ by), B. -39, , ue 23 = NO - UW -1y, , D «6, , E 7, , 10. The number of chirps per minute made by a, cricket is a function of the temperature (7)., The function f(7) = 4(7— 40). How many, chirps would you expect to hear when the, temperature is 90°?, , A 60 Pie) = 4(qo-Heo), B. 20, , Cc. 240 = 4 (50) = I¢0, D. 40, , Ee 200, , 719
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80, , Practice Exercise 5, , Using the formula P = 2(/ + w), find P if/=, , pend y= 20: P< 2(4e tte), B. 80 z= A@(Codz\LVO, Cc. 100, , J 120, , E. 140, , In the formula S = 5 +0), find Sifn=5,, , a=2,and/=18., , A. 8 D. 25, , B. 121 cen 50, 2, , 1 Ss, Cc. 224 Se > (2419) = So, , If 4= 1 h(b +0), find A if h= 10, b = 8, and, , 2, c=12. Pe ¥%e (84 9) e100, A. 25 D. 200, B.. 50 E. 400, 2 100, , The formula c = 75 + 30(n — 5) is used to, find the cost, c, of a taxi ride where n, , represents the number of | miles of the, nee x 2, ride. Find the Gost of a taxi ride of 22, , 5, , miles., , A. $2.10 D. $7.35, , B. $2.85 +E None of the above, C. $4.35, , Andy was born on his mother’s 32", birthday. Which expression best represents, Andy’s mother’s age when Andy is n years, old?, , A. 32-n, B. 32n, 32+, pb. 2, , n, E. 32(n+1), , , , 6. If3a—2b=8 and a + 3b=7, what is the, lue of da + 5?, ee ieee aN ce (osceals), , A. -13, B. -ll = %+7, ea 15, D1 Ya te = IS, E. 9, 7. Solveforn: 4-325 4-35 =~ 3, n 2 z a, 1, A x D2 & =3, 2 oS, B. 2 E. None of the above, c 3, 4, , 8. Solve for a: pie +2 xe, , a a, A. 8 <%, +1 =z, B. -4 & “> Ges, oi eS, , E. No solution, , 9. John’s test scores for this marking period, are: 72, 84, 86, and 70. What score must, John get on his next test to maintain an, average of 80? q, , A+ buster Foty ., =, , A. 80, B. 78, So 88 Rl +x = Yoo, D. 84, E. 79 x = 3a, , 10. Which of the following is a factorization of, al a2 Ty 199, the polynomial x — 7x — 18? xe: (Mode s- 3), A. (x—18)(x+1) 4, B. (x +9)(x-2), (x-a) (x4-2) =O, , C. («-9@-2), BH (x= e+2), E. (x-6)(x-3) RET eyes 4
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11. Which of the following is not equal to the, other three’?, A. 25% of 802 10, , B. |! of1002 40, , or 40-05 =), D. 2100 = to, , E. 20, , 12. Penny can knit 4 rows of a sweater in 5, minutes. How many hours will it take her, to knit 300 rows?, , A 4 Bo, or s Poin, , a WASH Abe, © mt, D. 240, E. 375, , , , 13. Consider the following list of new car, , prices:, , Lexus [§46.500) Eclipse $27,900, Infiniti $37,800 Jeep $21,300, Honda _ $18,900 Toyota $19,500, , How much more is the Lexus than the, , of the other five cars? — \ j, —_— ~ 5,0 $e, , A. — $8,700 2 8, , B. $17,850, C. $24,210, LB $21,420, E. $13,750, , 14. Six times a number is 12 less than 10 times, , the number. What isthe number?, , par 3 bx = 1, pe lox, , c 2 _, O48 Ge mia, , E., , “ es], , 81
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1., , 2,, , 3., , 4., , 5:, , 82, , Practice, , 5 yl-s220, If C= = (F—32), find Cif F= 32., , moog >, OUHK Seu, , Ifa=3 and b =4, then find c if, , be aii haa sstely], , B. 7, Cc. 15, D. 25, E. 49, , Ifs =3 and t= 2, then find w if, , st) xB, (3), , (s+)? ~ 85, E. None of the above, , w=, , 38, Dz, 25, , Bo 24, "235, , gle, 25, , A. 1, 5, , G, , Sixty miles per hour is the same rate as, : hy ;, which of the following? 06 wide &, , A. 360 miles per second 7 i —» teniy, B. 1 mile per second, E—~ | mile per minute, D. 6 miles per minute, E. 6 miles per second, , 1 1, , Solve for w:, , , , Test 5, 6. The cost of manufacturing a DVD is, represented by: C(x) = 0.75x + 1.5. What is, the cost of manufacturing 20 DVDs?, , , , , , , , , , , , , , , , , , , , , , , , — $16.50 CC20) to-tS( 20)41.5, B. $0.165, C. $165.00, D. $1.65, E. $1,650.00, 5x1, 7. Solve forx: 2%. beox= 6, 612, = |=—, A. -10 D. 12 * lo, A E. No solution, 10, c. 10, 8. Solvefore: 2t4,2 3(etu) =e-2, en 2M3, be 5, Ce mee, 2 Me zo iy, B.-L ET |, 2 @z-7, 6G,, 2, 9. Which formula below best describes the, following pattern?, & 0 2 4 6 8, ? 3 5 13] 21 | 29, A. 3x-4 Z E, LB 4x-3 use Plug -in Tecwmqne, C. 4x41, D. 3x+5, E. 4x+3, , 10. If the solutions of the equation, 2x? +kx-8=0 arex= 1 andx=-8,, , 2, then k=? Bs es, i, — (XB) (x +38) =0, B. 8 (8x-1) (x49) <0, D. 8 2, E— 15 Kets
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11. A bookstore owner wishes to generate, $5,000 in profit each month. Each, hardcover (h) generates $5.25 in profit, and, each paperback (p) generates $1.75 in, profit. The linear equation that best, describes this situation is:, , A. 1.75h+5.25p = 5,000, B. 7h—7Tp=5,000hp, wl 5.25h + 1.75p = 5,000, D. 7h+7p=5,000, , E. 5.25(5,000h) = 1.75p, , 12. Given: g(x) =x° — 2x" +x —3. Find g(-2)., A. 21 CV = -8 -2¢4) 4-2) -3, , B. -l, Cc <5, Ub -21, E. 6, , 13. A family drove 180 miles to Disneyland. If, they left at 10:30 A.M. and got there at 3:00, P.M., what was their average speed in mph?, , A. 90 10130 —» 3.06, B. 45 Ad en, nt (aah \, , 1 *, , E. 10 Speed = ltow, , 4. She., , , , 14. Inan election with exactly 2 candidates,, 373 votes were cast. If the winner’s margin, of victory was 87 votes, how many did she, receive?, , A. 143, B. 186, C. 220, DB 294, E. None of the above, , 15. A train leaves Erie with twice as many, women as men. At York, 17 men get on and, 16 women get off. There are now the same, number of women and men. How many, men and women were originally on the train, when it left Erie?, , wo \d, A. 44 women and 22 men ax |x (ee), <B—— 66 women and 33 men, C. 36womenand18men 2x16 +17 Yori), , D. 48 women and 24 men, E. 52 women and 26 men, , 2x-16 =x+17, = 33 Men ene! be wemer |, , 83