1. A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
A) 5.430 ft B) 3.860 ft C) 2.610 ft D) 7.720 ft
2. One day, the temperature at 2:00 A.M. was 43°F, and by 3:00 P.M. the temperature was 56°F. What was the hourly rate of temperature change?
A) 3°F/h B) 2°F/h C) 0°F/h D) 1°F/h
3. Find the slope of the line passing through the points (10, –4) and (–4, –4).
A) 1 B) –14 C) Undefined D) 0
4. Factor completely. b2 – ab – 6a2
A) (b – 6a)(b + a) B) (b – 3a)(b + 2a) C) (b + 6a)(b – a) D) (b + 3a)(b – 2a)
5. Evaluate. 8 + 2 • 5 – 24 ÷ 6 • 2
A) 42 B) 16 C) 10 D) 48
6. Factor completely. 5a2 – 125
A) 5(a – 5)2 B) 5a(a – 25) C) (5a – 1)(a – 125) D) 5(a + 5)(a – 5)
7. Factor completely. x2 – 3x – 18
A) (x + 3)(x + 6) B) (x + 1)(x – 18) C) (x + 3)(x – 6) D) (x – 3)(x + 6)
8. Use the following tabe to answer the question.
Population of Europe by Age GroupsPopulation (in thousands)195019701995Age 0-14143,175166,367139,464Age 15-64359,162421,432487,110Age 65+44,98168,642101,338Age 75+14,55322,76238,139Total547,318656,441727,912Source: European Rural Development (ERD) Project.Between 1950 and 1995, did the European population for age 15-64 or for age 75+ increase by a greater percentage?
A) age 75+ B) age 15-64
9. Factor completely. 12x3 – 3xy2
A) 3x(2x + y)(2x – y) C) 3x(4x – y)(x + y)
B) 3x(2x – y)2 D) 12x(x – 3y)(x – y)
10. What is the degree of the polynomial x12 – 5x4?
A) 4 B) 5 C) 12 D) –5
11. Solve. 7x + 7 = 6x
A) 6 B) 7 C) –7 D) –6
12. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A) 5 cm B) 12 cm C) 4 cm D) 11 cm
13. A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
A) 6 hours B) 8 hours C) 5 hours D) 7 hours
14. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle.
A) 9 in. B) 10 in. C) 8 in. D) 7 in.
15. Stan invested $5,000, part at 8% and part at 17%. If the total interest at the end of the year is $490, how much did he invest at 8%?
A) $5,000 B) $4,000 C) $3,000 D) $1,000