The function f is defined by the equation f(x)=10x+4. What is the value of f(x) when x=7?

1. A21
   A
2. B38
   B
3. C47
   C
4. D74
   D

A remotely operated vehicle (ROV) is used for underwater ocean research. When the ROV is at a depth of 26 fathoms, what is the ROV's depth in feet? (1 fathom = 6 feet)

6x=30
6x-10y=80
What is the solution (x,y) to the given system of equations?

1. A(5, -5)
   A
2. B(5, -11)
   B
3. C(30, 80)
   C
4. D(30, 50)
   D

Which expression is equivalent to 41x^2+41?

1. A41(x^2+1/41)
   A
2. B41(41x^2+1)
   B
3. C41(x^2+41)
   C
4. D41(x^2+1)
   D

An event planner is planning an ice-skating event. It costs $45 to rent the rink and $10.75 per attendee. The budget is $275. What is the greatest number of attendees possible without exceeding the budget?

The ratio of cups of flour to cups of butter in a pie dough recipe is 2.75:1, and in a biscuit recipe is 7:1. Each recipe uses 1 cup of butter. How many more cups of flour are in the biscuit recipe than in the pie dough recipe?

A cube has an edge length of 13 inches. What is its volume in cubic inches?

1. A39
   A
2. B78
   B
3. C169
   C
4. D2,197
   D

(2x-4)(x-8)(x-9)=0
What is the sum of the solutions to the equation?

1. A-21
   A
2. B-19
   B
3. C19
   C
4. D21
   D

The function g is defined by g(x)=7x^(-1). What is the value of g(x)g(13)?

y=-8x+26
y=2x^2+16
The graphs of the equations in the given system of equations intersect at the point (a,b) in the xy-plane. What is a possible value of a?

1. A-5
   A
2. B-1
   B
3. C2
   C
4. D5
   D

(x-3)=11+2(x-3)
If x is the solution to the given equation, what is the value of x-3?

In 1980, the population density of Carroll County was 125 people per square mile. In 1990, the population density of Carroll County was 141 people per square mile. The population density of Carroll County in 1990 was p% of the population density of Carroll County in 1980. What is the value of p?

1. A116.0
   A
2. B112.8
   B
3. C16.0
   C
4. D12.8
   D

Which expression is equivalent to (2x+9)^2-(x-7)?

1. A4x^2+35x+74
   A
2. B4x^2+35x+88
   B
3. C4x^2-x+74
   C
4. D4x^2-x+88
   D

A circle has center oO, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 116°. What is the measure of ∠RSO, in degrees? (Disregard the degree symbol when entering your answer.)

32 teams are competing in a baseball tournament. The tournament has 5 rounds. After each round, half the teams competing are eliminated from the tournament. lf r teams remain in the tournament after x rounds of play, which of the following gives r in terms of x?

1. Ar=1/2(32^x)
   A
2. Br=1/2x^32
   B
3. Cr=32(1/2)^x
   C
4. Dr=32x^(1/2)
   D

A boat traveled a certain distance upriver and then traveled downriver 10 miles farther than it traveled upriver. The boat took x hours to travel upriver at a speed of 12 miles per hour. The boat then took y hours to travel downriver at a speed of 18 miles per hour faster than the speed at which the boat traveled upriver. Which of the following equations best represents this situation?

1. A12x-30y=-10
   A
2. B12x+30y=-10
   B
3. C12x+30y=10
   C
4. D12x-30y=10
   D

The function f is defined by f(x)=4(x-3)(x^2-k), where k is a constant. In the xy-plane, the graph of y=f(x) passes through the point (-8,0). What is the value of f(0)?

A business owner purchased an energy-efficient air conditioning system for a cost of $4,200, including installation. The business owner saves $940 per year to operate the new system compared to the operating cost of the old system. Including the cost of the new system, which function f gives the total amount, in dollars, the business owner has saved x years after purchasing the new system?

1. Af(x)=-4,200x+940
   A
2. Bf(x)=-940x-4,200
   B
3. Cf(x)=940x-4,200
   C
4. Df(x)=4,200x-940
   D

For the linear function g, the graph of y=g(x) in the xy-plane has a slope of 5 and passes through the point (2, 37). Which equation defines g?

1. Ag(x)=27x
   A
2. Bg(x)=27x+5
   B
3. Cg(x)=5x
   C
4. Dg(x)=5x+27
   D

Parallelogram PQRS is similar to parallelogram TUVW, such that P, Q, R,Rand S correspond to T, U, V, and W, respectively. If PQ=28TU, then which of the following must be true?

1. APR=3QR
   A
2. BPR=3VW
   B
3. CQR=28TU
   C
4. DQR=28UV
   D

At a convention center, there are a total of 250 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.72 and the probability of selecting a visitor who is located in room B is 0.24. How many visitors are located in room C?

Line k is defined by y=4x+1/2. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

1. A-2
   A
2. B-1/4
   B
3. C1/2
   C
4. D4
   D

The kinetic energy K, in joules, of an object is given by the formula K=1/2mv^2 where m is the mass of the object, in kilgrams, and v is the velocity of the object, in meters per second. If the Kineti nergy of a certain biect can be found by using the formula K=82v^2, what is the mass of the object, in kilograms?

1. A6,724
   A
2. B164
   B
3. C82
   C
4. D41
   D

What is the y-intercept of the graph of y=16^x in the xy-plane?

1. A(0, 1)
   A
2. B(0, 16)
   B
3. C(0, 0)
   C
4. D(0, 15)
   D

Which expression is equivalent to ((7√3)t)^(7/8) Where t>0?

1. A7√3t^8
   A
2. B7√3^8t
   B
3. C8√3t^7
   C
4. D8√3^7t
   D

m(t)=-0.0274(t/7)^2+7.3873(t/7)+75.032
The function m gives the predicted body mass m(t) in kilograms (kg), of a male giraffe t days after it was born in a wildlife reserve, where t≤390. Which of the following is the best interpretation of the statement "m(370) is approximately equal to 389"in this context?

1. AThe predicted body mass of a male giraffe was approximately 370 kg 389 days afterit was born.
   A
2. BThe predicted body mass of a male giraffe was approximately 389 kg 370 days after it was born.
   B
3. CThe predicted body mass of a male giraffe was approximately 389kg 370/7 days afterit was born.
   C
4. DThe predicted body mass of a male giraffe was approximately 370/7kg 389 days afterit was born.
   D

5/9(x-k)=k(x-9/5)
In the given equation, k is a constant. The equation has no solution. What is the value of k?

1. A-5/9
   A
2. B-9/5
   B
3. C9/5
   C
4. D5/9
   D

f(x)=-3x^2+30x-48
The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the maximum value of the function as a constant or coefficient?

1. Af(x)=-3x^2+24x+6x-48
   A
2. Bf(x)=-3x(x-8)+6(x-8)
   B
3. Cf(x)=-3(x-5)^2+27
   C
4. Df(x)=-3(x-8)(x-2)
   D

An object's speed, in meters per hour, is increasing at a rate of 1,530 meters per hour per second. Which of the following is closest to this rate in feet per second squared? (Use 1 meter =3.28 feet.)

1. A0.13
   A
2. B1.39
   B
3. C7.77
   C
4. D83.6
   D

2x+5y=9
12x+30y=54
For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

1. A(r,-2r/5+9/5)
   A
2. B(-2r/5+9/5,r)
   B
3. C(-2r/5+9,2r/5+54)
   C
4. D(r/6+9,-r/6+54)
   D

9x^2+30x+q=43
In the given equation, q is a constant. One solution to the given equation is (-5+√14)/3. What is the value of q?

1. A54
   A
2. B43
   B
3. C11
   C
4. D5
   D

At a hotel, guests used the pool for a total of t hours in March. At the same hotel, guests used the pool for 3.61t hours in April. What is the percent increase in the number of hours guests used the pool from March to April?

1. A2.61%
   A
2. B3.61%
   B
3. C261%
   C
4. D361%
   D

In the xy-plane, the point (6,7) is a solution to which of the following systems of inequalities?

1. Ax<3
   y>5
   A
2. Bx<3
   y<5
   B
3. Cx>3
   y<5
   C
4. Dx>3
   y>5
   D

At different times on a certain day, a manager at a theme park recorded the number of visitors. An exponential model gives the estimated number of visitors, V, at the theme park t hours after the theme park opened, where t≤3. Based on the model, 80 visitors were estimated to be at the theme park when it opened, and every 30 minutes the estimated number of visitors increased by 150% of the estimated number of visitors 30 minutes earlier. Which of the following equations best represents this model?

1. AV=80(2.50)^2t
   A
2. BV=80(2.50)^(t/30)
   B
3. CV=80(1.50)^2t
   C
4. DV=80(1.50)^(t/30)
   D

Triangle ABC is similar to triangle DEF, where A corresponds to D and C corresponds to F. Angles C and F are right angles. If tan(A)=√3 and DF=53, what is the length of DE?

1. A53(√3)/3
   A
2. B53(√3)/2
   B
3. C53√3
   C
4. D106
   D

A right triangular pyramid has exactly six edges. Each of these edges is 96 centimeters long. If the surface area of the pyramid is k√3 square centimeters, what is the value of k?

x(kx-96)=-8
In the given equation, k is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value of k?