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3 il 3 Ww 2 d x ? 3 c x = 2cd ? x W h i c h system o f linear equations has exactly one s o l u t i o n¢ A) x+3y=5 The given equation relates the real numbers c, d, and x, where c < 0 and d > 0. W h i c h equation correctly express x in terms o f cand d ? 2x+6y =9 a) ) B) x + 2 y = 3 xe 34 = 5936 2x + 3 y = 3 B) C) x+2y=3 2x+4y=5 D) x + 2 y = 3 c ) x= 2d + 3 ~e _ 2e+2 3 7 4 oe 2x + 4 y = 6 D e e 2cd ) X 7 7 =3 c 4 1 The value of y is 5 more than twice the value of x. Which of the following represents y in terms of x? A) y = 2 x + 5 B) y = 5 x + 2 C) y = 7 x + 2 D) y = 7 x + 5 1 3 W h i c h e x p r e s s i o n is e q u i v a l e n t t o p 1 (6 v 4 ) w h ep > r 0e? A) 9p? By Yp3 ©) Ye D) yp , M a t h Test ? C a l c u l a t o r 55 M I N U T E S , 3 8 Q U E S T I O N S T u r n t o Section 4 o f y o u r a n s w e r s h e e t t o answer t h e q u e s t i o n s in t h i s section. Piizaiene F o r q u e s t i o n s 1 - 3 0 , s o l v e e a c h p r o b l e m , c h o o s e t h e best a n s w e r f r o m t h e c h o i c e s p r o v i d e d , a n d f i l l in t h e c o r r e s p o n d i n g b u b b l e o n y o u r a n s w e r sheet. F o r q u e s t i o n s 3 1 - 3 8 , s o l v e t h e p r o b l e m a n d e n t e r y o u r a n s w e r i n t h e g r i d o n t h e a n s w e r sheet. Please r e f e r t o t h e d i r e c t i o n s b e f o r e q u e s t i o n 31 o n h o w t o e n t e r y o u r a n s w e r s in t h e grid. You m a y use a n y a v a i l a b l e s p a c e i n y o u r test b o o k l e t f o r s c r a t c h w o r k . 1. The use of a calculator is p e r m i t t e d . 2. All variables and expressions used represent real numbers unless otherwise indicated. 3. Figures provided in this test are drawn t o scale unless otherwise indicated. A. All figures lie in a plane unless otherwise indicated. 5. Unless otherwise indicated, the domaino f a given function f is the seto f all real numbers x for which f(x) is a real number. A s a A t n = tw 2 + B® Special Right Triangles C=2ar V=twh V=arh T e aw The n u m b e r of degreeso f a r c in a circle is 360. The n u m b e r of radians of arc in a circle is 27. The sumo f the measures in degrees of the anglesof a triangle is 180. wan K E 4 x i 1204 Burning methane produces 891 kilojoules o f energy per mole o f methane molecules. W h i c ho f the (00+ following is closest to the n u m b e r of moles of methane molecules required to produce 5,500 kilojouleso f energy f r o m burning ? 80 60 A) 0.16 40 B) 6.2 C) 4,600 D) 4,900,000 20 0 t 2 3° «4 5 6 7 a 9 ?Time(seconds) A marine biologist tracked the distance o f two bottlenose dolphins from an ocean beacon. The graph shows the distance o f each dolphin f r o m the beacon after the marine biologist began tracking them. A f t e r h o w m a n y seconds were the dolphins the same distance from the beacon? A) 2 B) 8 C) 20 D) 60 R 4 3 Hh [4 e 4 v Q u e s t i o n s 6 a n d 7 refer t o t h e f o l l o w i n g i n f o r m a t i o n . which o f the following is closest to the land area, i n square miles (mi?) o f Malta ? (Use 1 km?=0.39 mi*) T h e table shows the approximate land area, i n square kilometers (km?), o f 5 European countries i n 2018. The b a r graph gives the approximate populalion o f each o f these countries in 2018. A) 8.97 B) 136.5 Cc) 350 D) 897 C o u n t r y _ _ | L a n d area(km? ) Estonia 42,000 Luxembourg 100,000 Malta 2,600 Montenegro 13,500 Which of the following statements best compares the mean and the mediano f t h e populations for these 5 countries 1,400,000 + § 3 1,200,000 2 31,000,000 a 2 = 800,000 3 6 & ? A) T h e mean is greater than the median. B) T h e mean is less than the median. C)_ T h e mean is equal to the median. D) There is n o t enough i n f o r m a t i o n to compare the mean and the median. 600,000 400,000 4 200,000 7] S - § F #« S K v » ? ? ? ? _ ? SS w Country wu E > _ ? ? 4 Fxi ty 4 Pai The graph ghows the predicted value V(1) o f a t r u c k x is 63% o f y, I f x > 0, which expression represents y in dollars, with respect to the time # years, since in terms o f x? the truck was purchased. 22 a» samy nmot_t + . + 30.000 > py + +t t 100 wZWwet 63 q £ o 37 we t 20,000 0 + omy rr t { D) ~37 ?x 100 4 + 4 e Timeiyears} e 1?t ae ?+ W h i c h function best describes the predicted value o f the truck, i n dollars, as a function of 1 ? A) V(m) = 48,000 B) V ( n ) = 48,000 ? 1 2 , 0 0 0 n Which of the following linear equations has no ? 4,000n solution ? A) 4 ©) V(n) = 48,000n ? 12,000n D) V ( n ) = 4 8 , 0 0 0 n ? 12,000 Io 24 ) = 4+x 4 8 By 4 x + = 2 8 x) + 4 C) 4 ( x + 2 ) = 4 4 4 2 D) 4 ( x + 2 ) = 2 x 4 + 4 I f 5 ( x ? 8) + 3 ( x ? 8 ) = 8 0 , what is the value o f x - 8 ? A) 4 B) 6 Cc) 8& D) 10 a0 8 E e n i 4 R A landscape supply company sells mulch at a rate o f $30 per cubic yard. W h a t price does the company charge for 54 cubic feet of mulch? (1 yard = 3 feet) o 4 [ i The mean score o f a basketball team f o r its last 8 games was 64.5. If the highest score o f these games is removed, the mean score of the remaining games A) $54 becomes 63. What was the highest scoreof t h e last 8 B) $60 games C) $810 A)75 D) $1,620 B71 C) 63 D)55 The graph of y = f ( x } ? 2 equation defines function f ? A) f(x) B) f(x) =-2@)"+1 C) fQ) =-2*42 = -2(2)* +2 D) f q ) = - 2 x + 1 is shown. Which ? 4 R 4 31 28 is p% o f 35. W h a t is the valueo f W h a t is the x-coordinate o f the x-intercept o f the line 1 2 w i t h equation 3% + B = 1 when i t is graphed i n p? the xy-plane ? The scatterplot shows the relationship between t w o variables, x and y. A line of best fit f o r the data is also shown. x + 9y =3 7 x+ty=5 The solution to the given system o f equations is (x, y). W h a t is the value o f 8 y? For how many data points does the line o f best fit predict a y-value greater than the y-value o f the actual data point ? 56 E > 4 jm?5| +15 =40 zB W h a t is the sum of the solutions to the given equation ? Note:Figure not d r a w n to scale. In the circle above point O is the center, and In the xy-plane, the circle w i t h radius 5 and center diameter AC bisects BD at point E. The radius of the cicle is 8, and EC =1. If BE = vic what is the (8, 3) contains the point (w, 0). W h a t is one , possible value o f w ? value of k? A n exponential model indicates that 136 thousand humanities degrees were earned i n 1975; and this n u m b e r decreased, by 8% each year u n t i l 1985. A c c o r d i n g to the model, when rounded to the nearest thousand, x thousand degrees were earned in1977. W h a t is the value o ?f STOP I f y o u f i n i s h b e f o r e t i m e is c a l l e d , y o u m a y e h e c k y o u r a w o r k o f e t h i s s e t t i o n o n l y . D o n o t t u r n t o a n yS t H E TS a r e y i n é thousand degrees were earned R 5 5HK