Algebra II
M2A, Q4 & M2B, Q15:
4x^6+8x^3y^3+4y^6
Which of the following is equivalent to the expression above?
A. (2x^2+2y^3)^2
M2A, Q5:
Which of the following equations represents a line that is perpendicular to the line with equation, 4x+2y=6?
D. y=0.5x+1
M2A, Q12:
An isosceles right triangle has a hypotenuse of length 24 centimeters. What is the perimeter in centimeters of this triangle?
C. 24sqrt(2)+24
M1, Q3: Which table gives three values of x and their corresponding values of f(x) for the given function f?
B.
M2A, Q 13:
Alyssa is a zoologist studying the population of wolves in two different types of forests. She observed that the population of wolves in Forest A was 12 percent less than the population of wolves in Forest B. Best on Alyssa's findings, if there were 66 wolves in Forest A, how many wolves were there in Forest B?
C. 75
M2A, Q8 & M2B, Q18:
The exponential function h is defined by h(x)=23r^x, where r is a positive constant. If h(5)=5589, what is the value of h(4)?
1863
M1, Q 12:
The Number of judges on the United States Supreme Court in the year 1790 is two-thirds the number of judges on the United States Supreme Court in the year 2000. If there were 9 judges on the Supreme Court in the year 200 and j judges on the Supreme Court in the year 1790, which of the following equations is true?
B. 3/2j=9
M1, Q18:
To help with stretching exercises, a physical therapist uses a styrofoam tube in the shape of the right circular cylinder above. If the volume of the tube is 324pi cubic inches, and the diameter of the circular base is 6 inches, what is the length of the tube in inches?
36
M1, Q 22:
g(x)=-5x^2+43x-16
The given equation defines the function g. For what value of x does g(x) reach its maximum?
4.3
M1, Q6: The workers in an office defined their typing speed as "pace," a rate expressed in seconds per word and rounded to the nearest hundredth. If a worker types 170 words in 3 minutes and 20 seconds, which of the following approximates the worker's pace over that time?
B. 1.18
M2A, Q6 & M2b, Q16:
x+15y=36
x+5y=52
The solution to the given system of equations is (x,y). What is the value of x?
60
M1, Q 5: On a trip, a car travels at an average speed of 22 meters per second. The trip is 15.8 kilometers long. Which function can be used to estimate how many meters, f(t), are left to travel after t seconds? (1 kilometer is equal to 1000 meters)
A. f(t)=15800-22t
M1, Q21:
Circle P can be described as (x-3)^2+(y+3)^2=16. Circle Q has the same center as circle P, but its radius is half as long. If the equation describing circle Q is (x-3)^2+(y+3)^2=c, where c is a constant. What is the value of c?
4
M1, Q11: In the system of equation above, a and b are constants. For which of the following values of a and b does the system of equation have exactly two real solutions.
B. a=2, b=-2
M2B, Q13:
A tree originally had 710 branches, but the storm knocked off 30 branches. If 80% of he remaining branches have leaves, how many branches do not have leaves?
M2A, Q14:
The function h(x) is defined by h(x)=g(x-4). For what value of x does h(x) reach its maximum?
D. 13
M1, Q 10: In the xy-coordinate system, line l is perpendicular to the x-axis and passes through the point (-4,6). Which of the following is an equation of line l?
A. x=-4
M2A, Q 9:
In the figure(packet), <MLN = <OPN, and lines OM and LP intersect at point N. If LP=52 and the ratio of lM to OP is 8:5, what is the length of line NP?
C. 20
M1, Q7:
(2a^2b-5a^2+6ab^2)-(a^2b-4ab^2-5a^2)
Which of the following is equivalent to the expression above?
c. a^2b+10ab^2
M1, Q16:
The side lengths of the right triangle ABC are given. If triangle DEF is similar to traingle ABC, where D corresponds to A and E correspond to B, what is the sin D?
D. 15/17
M2A, Q15:
One of the factors of 3x^3+48x^2+165x is x+a, where a is a positive constant. What is the least possible value of a?
5
M1, Q19: A shop earns $20 of profit for every $100 of revenue that it collects. The shop has earned $1900 in profit so far, and the shop is making $280 in revenue each hour. What is the amount of profit, in dollars, that the shop has earned after h hours?
B. 1900+56h
DAILY DOUBLE
M2A, Q17:
A rug has an area of 16,129 square centimeters. What is the area, in square inches, of the rug? (1inch=2.54 centimeters)
C. 2500
M2A, Q 11:
3x^2-6x+8=0
How many distinct real solutions does the given equation have?
A. Zero
M1, Q13:
Of the following four types of population growth, which one would result in exponential growth in the population of the town?
C.