Arithmetic
(-51)2/173
9/17
solve for x
7x+3-2(2x+1)=13
x=4
A rectangular concrete driveway is 30 feet long, 8 feet wide, and 6 inches thick. What is the volume of the concrete? You must use the correct units to get points.
120 CU FT
A survey asked students what pets they have. Based on the results, the following statements are all true.
• 20 students have cats.
• 23 students have dogs.
• 3 students have both dogs and cats.
• 5 students have no dogs or cats.
How many students were surveyed?
45
Michael and Barry can complete a job in 2 hours when working together. If Michael requires 6 hours to do the job alone, how many hours does Barry need to do the job alone?
3 hours
What is the greatest common factor of 2205 and 3675?
A) 147
B) 245
C) 441
D) 735
E) 1225
D) 735
iPad Question #2
m=11
A rectangular kitchen floor is 12 feet long and 7.5 feet wide. It will be covered completely with new square tiles measuring 9 inches on each side. How many tiles will cover the floor?
160
A box contains 7 red marbles and 4 green marbles. Five of these marbles are removed at random. If the probability of drawing a green marble is now 0.5, how many red marbles were removed from the box?
4
In an election between two candidates, the winner received 55% of the 17,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?
1,700
How many positive two-digit numbers are divisible by 4?
22
The sales of hot drinks are roughly a linear function of outdoor temperature. If a vendor sells 200 cups when the outdoor temperature is 70 degrees, and 440 cups when the outdoor temperature is 50 degrees, how many cups can the vendor expect to sell if the outdoor temperature is 55 degrees?
380
iPad Question #3
14 cm
A pitcher contains 32 ounces of orange juice and 12 ounces of grapefruit juice. More grapefruit juice was added to the pitcher until grapefruit juice represented 1/3 of the pitcher's contents. How many ounces of grapefruit juice was added?
4 ounces
When a positive integer p is divided by 7, the remainder is 3. When p is divided by 5, the remainder is 2. What is the least possible value of p?
17
What is the least positive integer k for which 120k is the square of an integer?
30
If x(b-c)=y+x and 2b=3c=7, what is the value of y/x?
1/6
A goat is tired by a 6 meter rope to the outside corner of a square shed measuring 8 meters by 8 meters. What is the area of the surrounding grass on which the goat can graze? Express your answer in terms of pi and you must use the correct units.
27π sq. meters
A group of potential voters was asked whether or not they were in favor of Proposition A and Proposition B on the ballot. Of this group, 65% were in favor of Proposition A, and 72% were in favor of proposition B. If 3% of the total group were not in favor of either proposition, what percent were in favor of BOTH propositions? (Assume that 100% of the group responded and there were no undecided voters.)
40%
12
A certain type of bamboo blooms for 1 week once every 17 years. This type of bamboo bloomed in 1807. How many times did it bloom between 1820 and 2011, inclusive?
12
At a local garden ship, the price of plants includes sales tax. The cost of 4 large plants and 8 medium plants is $40. The cost of 5 large plants and 2 medium plants is $28. Determine the cost of a large plant and the cost of a medium plant.
medium plant $2.75
iPad Question #4
Leave your answer in terms of pi and you must use correct units.
24pi feet
A vacation company offers 4 different types of cruises and 6 additional perks to choose from. If Ryan can choose one cruise and 4 different perks, how many different vacations could he make?
60
iPad Question #6
60 degrees