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i a, , , , ee EGYPTIAN, (4 SCHOLASTIC, TEST, EST I - Math, Student’s Name Ov Q024, National ID verenl, Test Center, , , , Duration: 90 minutes, Test sections: I- Calculator is not required, 1] - Calculator is required, , 45 Multiple Choice Questions and 13 Short Constructive Response Questions, , Instructions:, , - Place your answer on the answer sheet. Mark only one answer for each of the multiple, choice questions., , - Write your final result only on the answer sheet for the constructive response, questions., , - Avoid guessing. Your answers should reflect your overall understanding of the, subject matter., , - Calculator is allowed, When a calculator is used, be aware of switching between, radian mode and median mode., , , , - Formula sheet is available at the end of the booklet for your reference.

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Section I, Calculator is not required, 30 minutes

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1,, , “Complex ¥a"2,, , “Si ‘preme? 4., , diner equations”, , , , , , If 2xN FEI =t+1 and t = 3, what, , is the value of x? Ca a om = 4) XG, , A. 27 , B-100 2(2x-4)- (x41) = 24, Ler HX-~B-xX-1 say, , Dae 3X -9 =94, , Z-Z'=a+bi, 3X =33 =p |x =1/], , In the equation above, a and b are real, numbers and i is the imaginary unit, such that i? = —1,, , IfZ=3+2iandZ’ = 4-31, what, is the value of (Z — 2")? 2, , A. 2i 342i~4 +31 2-145!, , -Br -24- 10: 2 ,, -1451) = {+1o1 ~25, , C. -26-10: ( :, , D. -1+5i =~ ay ~ tou, , Mathew paid X dollars for a play, , Station that Was only 30 dollars less, than one third of the original price., , What was the original price in dollars?, , A, X-30 Ns AW 2/35, B. X+60 3, , Ler 3X+90 Lf = x +30, 1, D5*-30 = 3x4+90, A truck contains 15 identical boxes, that are either red or blue., , The red box weighs 3ke and the blue, box weighs 2 kg., , If the total weight of the boxes is 36, kgs, what is the difference between the, red and blue boxes in the truck?, , , , at, LD. =, , 6., , ers, , I., , x ,, A 100-page album costs twice as much, as d_50-page album. The cost of three, 100-page albums and two 50-page, albums is $¢. How much does a 50-page, album cost? NM = 22K, , A. 8t ; 3xv4+34 =, Bat (Subs bee, Slag> +94 = T, , by +24 = T i, 8 Se = Us s, An enterprise conducted a study on its, products and the results showed that, when the unit selling price (P) is raised,, , the number of units sold (U) went, down., , This result is modeled by the equation, 10P+2U=2500., , Based on this model, the manager, decided to decrease the unit selling, price from $50 to $45., , te, , Cc, =, 4, , How many more items did he sell?, A775 10(50)4+9U = 9600 .U=, B. 50 4o (4 5)+Qu=3, , , , D. 10, , [(2x -y)y ~(2x+y)'}, , Which of the following is equivalent to, he expression above?, , A. “Yox* yYP Lue 19 a vale for A ):, , B. ~S4x"y* | 41,1):, , ce an dct], LD? 64x7y?, , me x+y =15 Peax+ay 230, Cc. 36. 3 a <3,, LBe 3 an tee 8G, =x _=-6, , \r=6, , , , =C% ={6q), , ¥ Now, -in the game, , value ‘a the ONSWeTs, , #The correct Answer ig (D);, = 6H CU) BQ, , March 2021

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3a 11. Sam wants to rent a car. He receives, 8. If boo =7, what is the value of the following offers., , , , , , , , , , , , , , , , , , , , , , 3a xb =F | he xy, Ac o © as Xo Fixed Amount to be, paid for each, 7 3a, =7 = amount to be ‘, B= —- -\3> 7 kilometer, be paid ., 3 Sane 1 driven, Cc. 21 Bas 706 Offer A 658 0.508xIo] 1) 5 &, p. = be =. 34 [Offer B GOS 0.528 xi00= 419., 7 : Offer C 558 4 0.548¥ \od=, : 9 Ha ve the seen a is sears to one 50S 0.56$% ies = tee :, ¥ = = wie x? -l2x+ io ; _*t, “verter ee es Which offer is the best if Sam wants to, =f 4, (2x-6)' ~28) Neetex form travel 100 km?, \2 2 i A. Offer A, Arerbex= 24)- i (x- y= -10 onal (3y—Io) B. Offer B, > Lol 2(x-9)' +5 C. Offer C, j & 426] .D< Offer D, Vectex( 30)’ p, 4(8-3) -5, 12. If m is a real parameter different than, 10. f(x) =ax* +(3-b)x-5 zero, what is the number of the real, roots of the equation 2x(x?2+, 4)(mx? +x —m) = 0? leb m= 4, , AL1 &X(xando yx l<o, , For the function f defined above, a and, b are constants. If f(1)=2 and, , , , 2)=- . ct 2 5 4, f(2)=-1, which of the following is zi 2x0 | 4 =o ) Pi, the value of f(—1)? 3 [X=O\ ) | Rbcenf\ 2, (Cee, , A 22 F(z w+ (3-b)-5 = 9 a] exh, , 13, Vx? +3 =x-5, oe Q43-6-5=2 a, Cc. 2 Which of the following could be a, D. 11 A-lb-1= a solution for the equation above?, , Ge @ Plug-in the Anguoe Sess, Se Jato= | i, Yor = =o-5 x, , Bs THs =99.5N, Fla) = Aly) xA-b)-5 = 1 LDSNone of the above, , , , HO +6~Ilo-S =| 14, 25x? - +4 =(5x-2)(ax+b), _ re In the equation above,la,b and t are, HO- alo +f= 1 constant numbers. ., had =-2 +2 What is the value of ¢? |, 2 ', 2a-b=-1]__@ AL 5 = S5ax°- 5bx-2ax%-2b, \ a-b=~1]—® B. -2, F ‘ 20 |, Sowe sglemF tinear equations: . I |, ak =4 =—b5a=05 =dAb==h, ~ gale Ly 5 lazs |b29 ], =O = § aay ae = Sbtdq<t March 2021, - -5- b=4 5 | (b= -9 44 o¥ (8%-2(5%—2), , AX = a8H* Kady, #(-1) = -5 AY +8444) -5 + hw, , = -5-12-5 =|-92, , ee