枫叶国际学校入学测试数学模拟试题

6. Solve for x given 4(3x − 7)= − 7 a)
7 6
b) 0
c) −
35 12
d)
7 4
e)
35 12
7. Solve for x given 4 − 2(3x − 4)=1 − (5x+4). a) − 9 b) − 1 c) 15 d) 3 e) 7 8. What is the value of the expression − 3x2 +4x when x= − 5 ? a) − 55 b) − 95 c) 50 d) 95 e) 55
5. Write an algebraic equation for the following " After 7 is added to a number the sum is divided by4. The result is 12."
7n = 12 4 n d) + 7 = 12 4
a)
n + 4 = 12 7 n+7 e) = 12 4
4 Simplify and rewrite using only positive exponents:
4 x2 ( 2 y )3
−2
x4 a) 4 y6
4 y6 b) x4
−4 y 6 c) x2
d)
1 y6
e) y 6 a) 22x²- 19x- 23 c) 16x²-8x - 5 e) 16x²-8x +5 b) -16x²+8x -5 d) 16x²-24x+5
26. Factor completely: xy − 5y − 2x + 10 a) (x + 5) (y − 2) b) (x − 5) (y + 2) c) (x + 2) (y + 5） d) (x − 5) (y − 2) e) (x − 2) (y − 5 ) 27. Find the area of the figure, in square meters, to 1 decimal place. a) 935.6m² b) 1691.1m² c) 362.2m² d) 557.8m² e) 271.1m² 28. Find the volume, in cubic centimeters, of the solid shown where h =12cm, s=7cm, and d=8cm.Express your answer to two decimal places. a) 2077cm³ b) 435.63cm³ c) 1742.54cm³ d) 217.82cm³ e) 1258.96cm³ 29. In the diagram shown, △ A' B' C is the image of △ABC. Which type of transformation is shown in the illustration? a) dilation b) translation c) slide d) rotation e) reflection 30. Find the length of side x. a) 20 b) 34 c) 26 d) 25 e) 35 31. A triangle has vertices A( − 5, 2), B( − 3, 5), and C( − 2, 1). Which of the following translations will place the image triangle in the fourth quadrant? a) 5 units left, 7 units down b) 6 units right, 7 units down c) 4 units left, 7 units up d) 6 units right, 7 units up e) 4 units right, 7 units down
c a a d) c
c b a e) b
b)
c)
b a
40. Evaluate: a) − 34
(3
−2
+ 5−2 )
−1
b) −
1 34
8
c)
225 34
d) 34
e)
34 225
35. In △ABC, which of the following is equal to a) sinC b) tan C c) cosA d) cosC e) tan A
64 125
Date_____________________
9. Evaluate − 2a3b − 4a4 for a= − 3 and b= − 2 c) − 128 d)144 e) − 144 a) 432 b) − 432 10. Solve: 3x − 7 ≥ − 22
2. Rewrite 4 − 3 using positive exponents only and evaluate the result.
38. A 2.5 metre ladder leans against a house forming a 30ºangle with the house. Exactly how far is the base of the ladder from the house? a) 1.35m b) 1.50m c) 2.25m d) 1.75m e) 1.25m 39. The scale shown on a map of Canada is 1cm= 120km. On the map the distance between Winnipeg and Saskatoon is 5.7cm. How far apart are Winnipeg and Saskatoon to the nearest kilometre? a) 444km b) 516km c) 684km d) 276km e) 660km
12 ? 13
41. Evaluate:
(3 × 3 ) (3 )
4 5
−3 4
a) 1
b) 6
c)
a) x ≤ 5
b) x ≤ − 5
c) x ≤ −
28 3
d) x ≥ − 5
e) x ≥ 5
1 1 = 3 4 64 3 d) − 4 = − 64
a)
b) − 3×41 = − 12 e) 4 =12
− 1 2
3
c) 43 =64 11. Solve: a) x > 18
15 − 2 x <7 3
19. Expand and simplify:
2 a) x − 1 x − 6 3
x x + 7 −9 2 2
2 b) x + x − 6 3
4
2
4
Байду номын сангаас
2 c) x − x − 6 3
d) x − x − 63
2
4
2 e) x − x − 6 3
2
20. Multiply: (4x − 3) (3x³ − 5x +3) a) 12x4 − 9x³ − 20x² − 27x − 9 b) 12x4 − 9x³ − 20x² + 27x − 9 c) 12x4 + 9x³ − 20x² + 27x − 9 d) 12x4 − 9x³ + 20x² + 27x − 9 e) 12x4 + 9x³ + 20x² + 27x − 9 21. Expand and simplify: (3x+4)² − 3(x+5) b) 9x² + 21x + 1 a) 9x² + 18x + 1 c) 9x² + 9x + 1 d) 9x² + 21x + 31 e) 9x² + 9x + 31 22. Factor: x² − 4x − 12 a) (x + 6) (x − 2) c) (x + 2) (x − 6) e) (x − 4) (x + 3)
b) x < 18 c) x < − 3 d) x> − 3 e) x < 3
4 3 Evaluate: 49 7 7 a) b) − 2 2
c)
2 7
d) −
2 7
e) −
2 49
12. Simplify: (4x² − 8xy+2y²) − (9x² − 4xy − 7y²) a) − 5x² − 4xy − 5y² b) − 5x² − 4xy + 9y² c) − 5x²+ 12xy + 4y² d) − 5x²+ 4xy + 9y² e) − 5x² − 12xy + 9y² 13. How long is BC?
MATH PROFICIENCY TEST Name_________________________
Record your answer on the answer sheet provided.
1. Simplify: (2x4y5)³ b) 2x12y15 a) 6x12y15 d) 8x12y15 e) 8x7y8 c) 8x y
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32. In the diagram shown, △ABC~△DEF, c = 5, e = 7, and f= 9. Find a. a)
d) r = 15cos25º
e) r =
15 cos 25°
3 4
c) 12