Probability
A bag contains exactly 22 solid-colored buttons: 4 red, 6 blue, and 12 white. What is the probability of randomly selecting 1 button that is NOT white?
10/22 = 5/11
An on-demand movie service charges $5 per month, plus $2 for each movie rented. What is the equation that would model the relationship between M, the number of movies rented per month, and T, the total monthly cost, in dollars, for the service?
T = 5 + 2M
What are the TWO solutions to the quadratic equation (3x+7)(2x−4)=0?
-7/3 and 2
Matrices A and B are given below.
A= [3 −6
−2 7]
B= [8 −5
−3 −2]
Which of the following matrices is A−B?
[-5 -1
1 9]
The expression (2c−3d)(4c+d) is equivalent to:
A. 8c2-10cd-3d2
B. 8c2+10cd+3d2
C. 8c2-3cd-3d2
D. 8c2-3d2
A
A wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills is found and returned to its owner. The wallet’s owner will reward the finder with 1 bill drawn randomly from the wallet. What is the probability that the bill drawn will be a twenty-dollar bill?
8/20 = 2/5
As shown in the table, the monthly rent of an apartment depends on the number of bedrooms. If the pattern is extended, what is the cost of a 4-bedroom apartment?
BEDROOMS RENT
1 $550
2 $625
3 $700
775
What is the sum of the 2 solutions of the equation x2−2x−24=0?
2
The 2 x 2 matrices A and B below are related to matrix C by the equation C=2A−3B. What is matrix C?
A=[2 5
−2 1]
B=[−4 5
2 1]
[16 -5
-10 -1]
For what value of x is the equation 2(x−12)+x=36 true?
20
The mayor of Westbrook is deciding how to ARRANGE (assign) the 5 council members in a row of five seats. From how many different arrangements can she choose?
5*4*3*2*1 = 120
The length, in inches, of a box is 3 inches less than twice its width, in inches. What expression gives the length, l inches, in terms of the width, w inches, of the box?
l = 2w-3
When x2 − 4 and x2 − 6x +8 are factored, a common factor is ?
x-2
If h(x)=x2+x and g(x)=2x+4, then g(h(3)) =?
28
What is the x-intercept of the graph of y=x2−4x+4 ?
2
The students in Mrs. Gambrel's mathematics class are playing review games. For prizes, Mrs. Gambrel has a bag that initially contained 24 suckers of different flavors: 6 cherry, 5 watermelon, 4 strawberry, and 9 grape. No suckers are added to the bag during the class. After each game, the winner randomly selects 1 sucker from the bag to keep. The winners of the first 5 games selected 1 cherry, 2 strawberry, and 2 grape suckers. John wins the 6th game. What is the probability that John will select a watermelon sucker?
5/19
The table below shows the first 5 terms of an arithmetic sequence. What is a general expression for the nth term?
(The "increase" for each n term is multiplied by n and then the initial or 0 term is added or subtracted from this)
Term position (n ) nth term
1 1
2 5
3 9
4 13
5 17
4n-3
What is the factored form of 2x3−20x2? (HINT: Use GCF)
2x2(x-10)
The function f is defined as f(x)=−4x3-4x2 . What is f(−4) ?
192
What is the slope of the line that passes through (5,4) and (7,10)?
3
Three friends are picking apples. Bill picks 5 red and 3 green apples; John picks 8 red and 2 green apples; Bill picks 2 red and 4 green apples. They combine their apples into an empty basket. Ming will randomly select 1 apple from the basket. What is the probability she will select a green apple?
9/24 = 3/8
For a certain geometric sequence of only positive terms, a2=4 and a4=16. What is the value of a7?
128
If x2+bx+54 has integral factors, which is not a possible factor for b ?
A) 18
B) 55
C) -21
D)-29
A) 18
Given f(x)=x+1 and g(x)=2x2 . What is g(f(x)) ?
2x2+4x+2
For all nonzero values of x and y, which of the following expressions is equivalent to
- 35x5y4
5xy
A. -7x4y3
B. -7x5y4
C. -7xy
D. -30x4y3
A. -7x4y3