Which expression is equivalent to v^4-460v^3?

1. A(v^2+46)(v^2-10)
   A
2. B(v^2-46)(v^2-10)
   B
3. Cv^3(v-460)
   C
4. Dv^3(v+460)
   D

The width of a rectangle is 9 centimeters. The length of the rectangle is 50 centimeters longer than the width. What is the area, in square centimeters, of this rectangle?

1. A18
   A
2. B531
   B
3. C68
   C
4. D9
   D

y=-15x+21
y=-21x+27
What is the solution (x, y) to the given system of equations?

1. A(21,27)
   A
2. B(27,21)
   B
3. C(1,6)
   C
4. D(6,1)
   D

f(x)=-16x^2+76
The function fgives the estimated height, in feet, of an acorn x seconds after the acorn fell from a tree. Based on the function, what is the estimated height, in feet, of the acorn before it fell from the tree?

During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 338 pounds when entering hibernation and lost weight at a rate of 0.7 pound per day. At this rate, how many days after entering hibernation did the black bear weigh 310 pounds?

A dog's mass is 37 kilograms. What is the dog's mass, in grams? (1 kilogram = 1,000 grams)

A freight elevator can hold a maximum weight of 4,840 pounds during one trip. A 170-pound person needs to deliver several boxes using the freight elevator. Some of these boxes weigh 21 pounds each and the others weigh 62 pounds each. Which inequality represents the possible combinations of the number of 21-pound boxes, x, and the number of 62-pound boxes, y , the person can deliver during one trip if only the person and the boxes are on the freight elevator?

1. A21x+62y≥4,670
   A
2. B21x+62y≤4,670
   B
3. C62x+21y≥4,840
   C
4. D62x+21y≤4,840
   D

b-20=x/y
The given equation relates the positive numbers b, x , and y . Which equation correctly expresses x in terms of b and y ?

1. Ax=(b-20)/y
   A
2. Bx=by-20y
   B
3. Cx=(by-20)/y
   C
4. Dx=by-20
   D

In the xy-plane, the graph of the linear function h contains the points (0, 0) and (1, 40). Which equation defines h, where y=h(x)?

1. Ah(x)=1/40x+40
   A
2. Bh(x)=x+40
   B
3. Ch(x)=40x+40
   C
4. Dh(x)=40x
   D

3x+y=13
4x-y=15
How many solutions does the given system of equations have?

1. AExactly one
   A
2. BZero
   B
3. CExactly two
   C
4. DInfinitely many
   D

(x-6)(x-8)/(x-5)=0
What is the sum of the solutions to the given equation?

1. A14
   A
2. B19
   B
3. C5
   C
4. D8
   D

The measure of angle K is π/(2(16)) radians. The measure of angle L is 16 times the measure of angle K. What is the measure, in degrees, of angle L?

1. A16
   A
2. B90
   B
3. C74
   C
4. D106
   D

All the sidewalk paving stones in a neighborhood are rectangular. The length of each of these paving stones is 41 centimeters greater than the width. Which equation gives the area A, in square centimeters, of a sidewalk paving stone in terms of the width w , in centimeters, of that paving stone?

1. AA=(w)(w/41)
   A
2. BA=(w)(41w)
   B
3. CA=(w)(w+41)
   C
4. DA=w^2
   D

What is the y-intercept of the graph of y=10^x+22 in the xy-plane?

1. A(0,32)
   A
2. B(0,22)
   B
3. C(0,23)
   C
4. D(0,10)
   D

-3x+18px=90
In the given equation, p is a constant. The equation has no solution. What is the value of p?

1. A5
   A
2. B0
   B
3. C5/3
   C
4. D1/6
   D

The density of a certain type of marble stone is 2.3000 grams per cubic centimeter. If a sample of this type of stone is in the shape of a sphere with a diameter of 33.000 centimeters, what is the mass of this sample, in grams, to the nearest whole number? (Use 3.14159 for π.)

The function w is defined by w(r)=1/(r-5)-(r-4)/(-r+4.25). What is the greatest possible value of r such that w(r)=0?

Which expression is equivalent to (3x^3-4x+9)-(6x^6+8x-4)?

1. A-3x^9-12x-13
   A
2. B-6x^6+3x^3-12x+13
   B
3. C-6x^6+3x^3+4x+5
   C
4. D-3x^9-4x+5
   D

What is the slope of the graph of y=9/17x in the xy-plane?

1. A0
   A
2. B17/9
   B
3. C9/17
   C
4. D-9/17
   D

32x+81y=290
The given equation represents the volume of mulch x, in cubic feet, and the volume of soil y, in cubic feet, in a mixture of mulch and soil that weighs 290 pounds. If the volume of soil in the mixture is 2 cubic feet, what is the volume of mulch in the mixture, in cubic feet?

x^2+13x=-9
What are all possible solutions to the given equation?

1. A(-13±√133)/2
   A
2. B(-13±√133)/26
   B
3. C0
   C
4. D(-13±√133)/18
   D

y<x
y>-3x-11
For which of the following tables are all the values of x and their corresponding values of y solutions to the given system of inequalities?

1. A
   
   A
2. B
   
   B
3. C
   
   C
4. D
   
   D

f(x)=5(g(x))-2
g(x)=|13x-9|
The functions f and g are defined by the given equations. What is the value of f(-10) ?

1. A139
   A
2. B-52
   B
3. C685
   C
4. D693
   D

The population of a certain city doubled every 75 years from 1663 to 1963. The population of this city was 240,000 in 1963. What was the population of this city in 1663?

Line k is defined by 6x+19y-7=0 . Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

1. A19/6
   A
2. B-6/19
   B
3. C7/19
   C
4. D-19/7
   D

In the xy-plane, an equation of circle A is (x-3)^2+(y-9)^2=25 . Circle B has the same center as circle A but has a radius that is twice the radius of circle A. Which equation represents circle B?

1. A(x-3)^2+(y-9)^2=625
   A
2. B(x-3)^2+(y-9)^2=250
   B
3. C(x-3)^2+(y-9)^2=50
   C
4. D(x-3)^2+(y-9)^2=100
   D

The length of the diagonal of a square is (176√2)/2 units. What is the area, in square units, of the square?

1. A88
   A
2. B15,488
   B
3. C7,744
   C
4. D352
   D

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

1. A
   
   A
2. B
   
   B
3. C
   
   C
4. D
   
   D

A partially filled container containing 21 milliliters of water is placed under a leaky faucet that produces one 0.06-milliliter drop of water every 6 seconds. Until the container is full, which of the following can be used to represent the volume v, in milliliters, of water in the container t seconds after it is placed under the faucet, where t is a multiple of 6?

1. Av=6t
   A
2. Bv=0.36t+21
   B
3. Cv=0.01t+21
   C
4. Dv=0.06t+21
   D

A science club from a certain high school in Ohio conducted an experiment to study the effects of smell on taste. A sample of 80 students was selected at random from the high school to participate in the experiment. First, the students tasted a pureed food sample while wearing covered goggles and nose plugs. Then, the students tasted the same pureed food sample without nose plugs. 32 students were able to correctly identify the pureed food sample while wearing nose plugs. Which of the following is the largest population to which the results of the experiment can be generalized?

1. AAll students from high schools in Ohio
   A
2. BThe 80 students who participated in the experiment
   B
3. CAll students from the high school
   C
4. DThe 32 students who were able to correctly identify the pureed food sample while wearing nose plugs
   D

For the positive quantities h, j, and k, 42% of h is equivalent to 84% of j, and j is equivalent to 64% of k. What percentage of k is h? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39 )

At the beginning of an experiment, the temperature of a liquid is 23 degrees Celsius (°C). During the first 4.0 minutes of the experiment, the temperature of the liquid increases at an average rate of 6.5°C per minute. Then, the temperature of the liquid increases at a constant rate of 2.4°C per minute. If the temperature of the liquid reaches 63^circC63°C x minutes after the beginning of the experiment, where x>4.0, which equation represents this situation?

1. A63=2.4(x-4.0)+26
   A
2. B63=2.4x+23
   B
3. C63=2.4(x-4.0)+49
   C
4. D63=2.4x+49
   D

The function f is defined by f(x)=24x^3 . The graph of y=f(-x)+c in the xy-plane, where c is a positive integer constant, has an x-intercept at (r, 0) and a y-intercept at (0, t), where r and t are constants. Which of the following must be true about r and t?

1. Ar<0 and t>0
   A
2. Br>0 and t>0
   B
3. Cr>0 and t<0
   C
4. Dr<0 and t<0
   D

A certain investment account offers a special interest rate for the first 4 months the account is open followed by a lower interest rate for the remainder of the time the account is open. Bennett opened one of these accounts with an original account balance of $900 and did not make any other deposits or withdrawals. 4 months after Bennett opened the account, the balance had increased by 0.6% of the original balance. 6 months after Bennett opened the account, the balance had increased by an additional 0.1% of the balance at the end of the first 4 months. Every 2 months after the first 6 months, the balance had increased by an additional 0.1% of the balance 2 months before. Which of the following equations could represent the account balance B(x), in dollars, x months after the account was opened, where x≥4?

1. AB(x)=905.40(1.001)^(2x-8)
   A
2. BB(x)=905.40(1.001)^(2x-4)
   B
3. CB(x)=905.40(1.001)^(x/2-4/2)
   C
4. DB(x)=905.40(1.001)^(x/2-4)
   D

In the xy-plane, the graph of the equation y=-x^2+7x-76 intersects the line y=cat exactly one point. What is the value of c?

1. A-7/2
   A
2. B-353/4
   B
3. C-76
   C
4. D-255/4
   D

1/58x^2+(s-1/58t)x-st=0
In the given equation, s and t are positive constants. The product of the solutions to the given equation is -2kst , where k is a constant. What is the value of k?

In triangle RST, angle Tis a right angle, point L lies on RS , point K lies on ST, and LK is parallel to RT. If the length of RT is 72 units, the length of LK is 24 units, and the area of triangle RST is 468 square units, what is the length of KT, in units?

The area of a rectangular region is increasing at a rate of 310 square feet per hour. Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28 feet.)

1. A28.81
   A
2. B1.58
   B
3. C16.95
   C
4. D0.48
   D

If (x+5)/3=(x+5)/12, the value of x+5 is between which of the following pairs of values?

1. A2 and 6
   A
2. B-2 and 2
   B
3. C-6 and -3
   C
4. D7 and 12
   D