MDPT Practice Test 1 (Math Analysis)
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1 MDPT Prctice Test (Mth Anlysis). Wht is the rdin mesure of n ngle whose degree mesure is 7? ) 5 π π 5 c) π 5 d) 5 5. In the figure to the right, AB is the dimeter of the circle with center O. If the length of OC is 0 nd the length of BC is, wht is the length of AC? ) 0 c) 8 d) 0. One solution to z + 4 = 0 is ) 8i 4 c) 8 d) 4i 8 4. x 0 y y = ) x 5 y x 0 d) y x 0 x 5 y y x 5 y y 5. (7 b 9 c ) / = ) 9b c b c c) b c. If =, then x = d) b c 9b c ) 0 0 c) d) 4 7. ( x 9 x () ) x (x + )(x + ) x = ) (x ) () (x ) (x + ) (x + ) c) (x )(x + ) d) (x + ) none of the bove
2 8. + x 5 (x 5) = ) (x 5)() c) (x 5) () d) (x )() (x 5) () (x 5) x + (x 5) () 9. In the tringle ABC to the right, the length of AB is equl to the length of BC. Wht is x? ) c) d) 0 0. Which of the following cn NOT be root of the polynomil x 4 8x 9x + 588? ) 7 4 c) d). In the qudrilterl ABCD, the digonls AC nd BD bisect ech other nd re perpendiculr. Which of the following could be description of ABCD? I. rectngle which is not squre II. rhombus which is not squre III. prllelogrm which is not rhombus IV. squre ) I,II,III, nd IV II nd III c) I nd IV d) IV only II nd IV. Wht is the distnce between the points (7, 8) nd (, )? ) 8 48 c) 50 d) If x x+ = x 4, then x = ) 8 c) 5 d) 9 + 5
3 4. In the figure to the right, the mesures of the the ngles re given in degrees. Wht is the mesure of ngle C? ) 5 0 c) 0 d) xy (x y ) 4 = ) 8 x 7 y 8x 7 y c) y 8x 7 d) 8x9 y 8x 9 y. log b c = 4 mens ) 4 c = b b 4 = c c) c 4 = b d) b c = 4 4 b = 7. The point (, 5) is reflected cross the x-xis, then cross the y-xis, then cross the line y = x. Wht is the resulting point? ) (5, ) (, 5) c) (5, ) d) (, 5) (, 5) 8. b b = ) b b5 ( + ) c) + b 5 d) b ( + 4 ) 4 b x 8x = ) x c) x d) x x 0. (cd ) ( c 4 d) 4 ) c 9 d c 9 d 0 c) c 48 d d) c 7 d 7 c 9 d. If log (x + 4) = log 5, then x = ) c) 5 d) 4. The inequlity x x < 8 is equivlent to which of the following? ) x < 4 or x > x < 4 or x > c) 4 < x < d) < x < 4 x < 4
4 . One root of x x is ) + c) + 5 d) 4. Leslie is in the center of circulr trck of rdius 0 feet wtching Ktrin nd Jensine run rce. When Ktrin wins, Leslie notices tht the ngle formed by drwing line from the center of the trck to Ktrin nd line from the center of the trck to Jensine mesures π rdins. How fr, in feet, behind Ktrin is Jensine when Ktrin wins? ) 0 0π c) 0π d) π π 5. Angle ABC in the figure to the right is right ngle. Wht is x? ) 8 55 c) 9 d) If log (x ) log x =, then x = ) c) d) nd ± 5 7. If 9 x = x, then x = ) 4 c) 4 d) 8. b = ) b b b b c) b d) b b 9. y x + 5y 4 9x = y 4 ) 9x + 45xy x 5y 9xy + 7y 4x 9x + 45xy x 5y c) d) 9xy y 4x 9x + 45xy x 5y 9xy + 7y + 4x 9x + 45xy x 5y y 4 8x + 5y 0. The inequlity x + 8x > is equivlent to ) x > or x > x < or x > c) < x < d) < x < x < nd x < 4
5 . If log 5 x log 5 (x + ) = log 5, then x = ) c) 5 d) 5 No solution. A circle hs circumference π. Wht is the re of the circle? ) π 44π c) π d) π π. Ktrin hs circulr grden plot of re A squre feet. If she increses the dimeter by fctor of, wht is the re of her new grden? ) A A c) 4A d) (A + ) 4A 4. If f(x) = 7x x +, then f(c 4) = ) 7c 57c + 8 7c 9c + c) 7c 55c + 8 d) 7c 57c + 0 7c c 5. Lines l nd l re prllel. Line l is perpendiculr to l. Which of the following is NOT true? ) Line l is perpendiculr to l. If line l 4 is perpendiculr to l, then l 4 is prllel to l. c) If line l 4 is prllel to l, then l 4 is prllel to l. d) Line l intersects l. If line l 4 is not perpendiculr to l, then l 4 intersects l.. In the figure t the right, the length of AC is, the length of DE is 9, the length of BC is 0, nd the segments DE nd AC re prllel. Wht is the length of EC? ) 5 5 c) 8 d) 7 4 5
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