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Math 004

1: Josh can assemble 4Y toy cars an hour and Sally can assemble 3Y toy cars in an hour. Working together at this rate, how many toy cars can they assemble in five hours?: 15Y
35Y
10Y
21Y
14Y
2: Which of the following can be the equation, if the sum of the two roots of a quadratic equation is 5 and their product is -6?: 13 + (x)(x) - 6x = 0
6+ (x)(x) - 5x = 0
5x + (x)(x) - 6 = 0
(x)(x) - 5x - 6 = 0
6x+ (x)(x) + 19 = 0
3: If the sum of two numbers is negative 15 and their product is 56, then these two numbers are roots of which of the following equations?: 8+ (w)(w) + 13x = 8+ (w)(w) + 13w
56 + (w)(w) - 15x = 56 + (w)(w) - 15w
7w + 2(w)(w) + 19 = 7w + 2(w)(w) + 19
11w + (w)(w) + 56 = 11w + (w)(w) + 56
All of the above
4: What is the value of q, if p-7 = 2(q) and p = 5 + 3(q)?: 9
-3
2
6
-13
5: If z is divided by 4, the remainder is 1. If z is divided by 5, the remainder is 4. If z is divided by 3, the remainder is 2. Which of the following could be the value of z?: 1
29
21
13
7
6: Let's say the number of gophers living around a golf course doubles every 8 years. Assuming none of them die or move away, approximately how many years will it take for the population to grow from 2,000 to 65,000 gophers?: 40
14
22
37
96
7: Let's assume that we have sixty pieces of paper numbered from 1 through 60. If we mix up the pieces of papers and put them into a hat, then select one at random from the hat, what is the probability that the number selected will have a 3 in the tens digit?: 1/3
1/6
1/2
3/5
1/7
8: Carrots are to be grown inside a circular planter so that there are 4 carrots per square foot. The circumference of the planter is 20 feet. If carrot seeds are available only in packs of 6, how many packs of 6 carrot seeds are needed?: 7
22
4
17
10
9: What is the smallest positive number that leaves a remainder of 2 when the number is divided by 3, 4, or 5?: 62
32
80
222
48
10: Rope (packaged in eighty foot coils) must be cut into twelve-foot pieces for a shipping job. If twenty eight pieces of rope are needed to complete the shipping job, how many coils of rope are necessary? You must assume that any pieces of rope which are less than twelve feet in length cannot be tied together to form a twelve-foot piece of rope.: 6
9
7
3
5