Factoring polynomials
6x7+3x4-9x3
3x3(2x4+x-3)
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
9/20
The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. Find the growth factor for the world population
1.0126
Tell whether the sequence is arithmetic or not.
-1,-3,-5,-7...
arithmetic sequence since every pair of consecutive terms has a common difference of −2
4w2-25
(2w-5)(2w+5)
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
1/3
A $12,500 car depreciates 9% each year, write an exponential function to model this situation. Find the value of the function after five years.
$78,00.40
Find the next term in the sequence below.
-6,-1,4...
9
6t2-19t-7
(2t-7)(3t+1)
Three unbiased coins are tossed. What is the probability of getting at most two heads?
7/8
An investment of $75,000 increases at a rate of 12.5% per year. Find the value of the investment after 30 yr.
$2,568,247.87
Find the next two terms in the sequence below.
-1/2, -5/6, -7/6...
-3/2, -11/6
3z5-17z4-28z3
z3(3z+4)(z-7)
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
2/91
The population of an endangered bird is decreasing at a rate of 0.75% per year. There are currently about 200,000 of these birds. Write a function that models the bird population. How many birds will there be in 100 yr?
198,506 birds
If a sequence has a first term of a1=12 and a common difference d=−7. Write the formula that describes this sequence. Use the formula of the arithmetic sequence.
an=12+(n-1)(-7)
an=-7n+19
2x14-512x6
2x6(x4+16)(x4-16)
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
3/13
A new truck that sells for $29,000 depreciates 12% each year. Write a function that models the value of the truck. Find the value of the truck after 7 yr.
$7229.28
Write the formula of a sequence with two given terms, a5=−32, and a18=85.
an=9n-77