Muscle Shoals Middle School
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Muscle Shoals Middle School Pre-Algebra January 22, 2011
1. Given: Set A = {prime factors of 210}, Set B = {the first ten natural numbers}, and Set C = {even factors of 16}, find the number of the elements in (B C) A .
A. 5 B. 6 C. 7 D. 8
2. Evaluate 10.5 a c b if a = 1.5, b = 2 , and c 1.7 .
A. 5.3 B. 6.3 C. 9.3 D. 8.7
3. What distance did you travel by taxi if the rate is $0.90 for the first quarter mile and $0.50 for each additional quarter mile and you paid $3.40?
1 3 1 A. 1 B. C. 1 D. 1 2 4 4
4. A town installed a tornado warning system. The sound emitted can be heard for a 3 mile radius. If in the area around the siren the population density is 1,000 people per square mile, how many people will benefit from the tornado siren? Use 3.14 as .
A. 18,840 B. 9,420 C. 28,260 D. 12,560
5. The sum of the ages of the Smith sisters is 39. Their ages can be represented as three consecutive integers. What is the age of the middle sister? A. 11 B. 12 C. 13 D. 14
9.12x104 6. Simplify and write in scientific notation: . 4x103
A. 2.28 × 102 B. 2.28 × 101 C. 2.28 × 100 D. 2.28 × 103
1 AB 7. Find the area of parallelogram XDYB. XD =5cm, AB =6cm and AD = 2 A. 18 cm2 B. 24 cm2 C. 42 cm2 X A B
D. 30 cm2 D C Y Muscle Shoals Middle School Pre-Algebra January 22, 2011 8. Elizabeth found a great bargain on party dresses after Christmas. If the dress she liked originally cost $250, how much will she have to pay for it on sale if she got a 50% discount, an additional 40% discount and paid an 8% sales tax?
A. $75 B. $54 C. $81 D. $27
9. Simplify. –248 + 36 18 (-3) +8
A. –40 B. –16 C. –640 D. 132
10. What is the product of the smallest and largest of five consecutive even integers whose sum is 430?
A. 7380 B. 172 C. 7392 D. 7040
11. If f(x) = 6x2 + 3x –5 , find f(-4).
A. 29 B. -115 C. 77 D. 91
12. Joann made 99 on her last math test. Her average before the last test was an 84. If the last test raised her average to an 87, what is the total number of tests taken by Joann?
A. 4 B. 6 C. 7 D. 5
13. How many terminal zeros are contained in the product of 56 and 28?
A. 14 B. 7 C. 8 D. 6
14. If f (x) x 2 3x 5 , and g(x) 3x 2 5x 3, find g( f (4)). A. 201 B. 165 C. 873 D. 607
15. Evaluate: (-6)÷(3)(-2)+8÷(-4) A. ¾ B. 3 C. -1 D. 2
3 3 16. Evaluate: 814 32 5 A. 723 B. 3 C. 19 D. 21 Muscle Shoals Middle School Pre-Algebra January 22, 2011
17. On certain calls company A charges $1.25 for the first minute and $0.35 for each additional minute. Company B charges $1.75 for the first minute and $0.30 for each additional minute. Both companies charge the same amount for all calls that last ? A. 4.75 min. B. 10 min. C. 60 min. D. 100 min.
18. Simplify: (3w5 )(m) 4 A. 243w5m4 B. 2w4 m5 C. 3m 4 w5 D. 3w6 m4
4 3 2 x 19. If of of , find the value of x. 5 4 5 4 3 A. 12 B. 6 C. 3 D. 2
20. Which equation represents a line that neither passes through (0, 1) nor has a slope of 3? A. -2x + y = 1 B. y + 1 = 3(x + 6) C. y – 3 = 3(x – 6) D. x – 3y = -15
21. Find the perimeter of a square whose diagonal measures 10 centimeters. A. 10 2 cm B. 20 2 cm C. 25 2 cm D. 80 cm
22. In the sequence -4, -1, 2, 5, 8, …, what is the sum of the 12th and 20th terms? A. 78 B. 82 C. 88 D. 85
23. The angles of a triangle are in a ratio of 6:2:1. The angles of a quadrilateral are in the ratio of 4:3:2:1. What is the difference in degrees of the largest angle of the quadrilateral and the middle size angle of the triangle? A. 30 B. 16 C. 124 D. 104
1 1 24. Andrea gave of her doughnuts to Jordan, of her doughnuts to Cheyenne, and 10 2 3 doughnuts to Jake. If she had 1 doughnut left, how many dozen doughnuts did Andrea have originally? 5 1 1 A. B. 5 C. 13 D. 66 6 2 3
25. At First Metro Bank the positions of cashier, manager, and teller are held by Elliott, Craigge, and Self, not necessarily respectively. The teller, who was an only child, earns Muscle Shoals Middle School Pre-Algebra January 22, 2011 the least. Self, who married Elliott’s sister, earns more than the manager. Who is the manager? A. Elliott B. Craigge C. Self D. Not enough information
TB1 How many prime numbers are between 0 and 100?
TB2 A red Mustang GT convertible left Muscle Shoals at 8:00 a.m. traveling due east averaging 56 mph. A green Tahoe 271 4WD left Muscle Shoals at 8:45 traveling due south averaging 60 mph. How far apart were the cars at 10:30 a.m.?
TB3 If a b = a2 – 2ab + 5, find (3 2) (-4)