To win a game show, a contestant needs to score at least 70 total points from two rounds. Correct responses in the first round are worth 3 points each, and correct responses in the second round are worth 9 points each. Which inequality models this situation, where f is the number of correct responses in the first round and s is the number of correct responses in the second round?

1. Af+s≤70
   A
2. B3f+9s≥70
   B
3. C9f+s≥70
   C
4. D9f+3s≤70
   D

The function f is defined by f(x)=8(3)^((-x)/7). What is the value of f(14)?

1. A-72
   A
2. B-48
   B
3. C1/576
   C
4. D8/9
   D

In 2010, a skating team had a total of 51 skaters, each classified as either advanced or intermediate. From 2010 to 2020, the number of advanced skaters on the team increased by approximately 59%, and the number of intermediate skaters on the team increased by approximately 48%. The total number of skaters on the team increased by approximately 53%. Which equation best represents this situation, where a represents the number of advanced skaters on the team in 2010 and b represents the number of intermediate skaters on the team in 2010?

1. A1.48a+1.59b=51(1.53)
   A
2. B1.59a+1.48b=51(1.53)
   B
3. C1.53a+0.59b=51(1.48)
   C
4. D1.59a+1.53b=51(1.48)
   D

For a survey, a sample of 332 people was selected at random from all registered voters in a county. Based on the survey, it is estimated that 84% of all registered voters in the county are in favor of a new law, with an associated margin of error of 3.94%. Which of the following best describes the plausible values for the percent of all registered voters in the county who are in favor of the new law?

1. AAny value greater than 80.06% and less than 87.94%
   A
2. BAny value greater than 80.06%
   B
3. CAny value less than 80.06% or greater than 87.94%
   C
4. DAny value less than 87.94%
   D

An artist made 10 pieces of pottery using 36 pounds of clay. The pottery included only bowls and vases. Each bowl used 4 pounds of clay and each vase used 2 pounds of clay. How many vases did the artist make?

1. A2
   A
2. B4
   B
3. C6
   C
4. D8
   D

h(x)=1/2(x)(89)
The given function h represents the area, in square inches, of a triangle with a base of x inches and a fixed height. What is the height, in inches, of the triangle?

1. A1/89
   A
2. B89/2
   B
3. C89/()
   C
4. D178/()
   D

Which expression is a factor of ?x^3+x^2y+xy^8+y^9 ?

1. Ax^3+y^9
   A
2. Bx^3+y^8
   B
3. Cx^2+y^9
   C
4. Dx^2+y^8
   D

The measure of angle S is 4π/11 radians. The measure of angle T is 3 times the measure of angle S. which expression represents the measure, in degrees, of angle T?

1. A4/11(90)(3)
   A
2. B4/11(180)(3)
   B
3. C4/11π(90)(3)
   C
4. D4π/11(180)(3)
   D

For the positive quantities h, j, and k, 15% of h is equivalent to 20% of j, and j is equivalent to 60% of k. What percentage of k is h? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39)

y-x=47
y=x^2-45x
The graphs of the equations in the given system intersect at the point (x, y) in the xy-plane. What is a possible value of y?

1. A47
   A
2. B48
   B
3. C93
   C
4. D94
   D

An object travels x inches in y seconds. At this rate, which expression represents the time, in seconds, it takes the object to travel a distance of 12x inches?

1. A12/y
   A
2. By/12
   B
3. C12y
   C
4. Dy+12
   D

The number of bacteria in a growth medium is expected to increase by 150% every 2 hours during a period of observation. The number of bacteria in the growth medium was estimated to be 7,000 when the period of observation began. Which function P gives the expected number of bacteria in this growth medium t hours after the period of observation began?

1. AP(t)=7,000(1.50)^(t/2)
   A
2. BP(t)=7,000(1.50)^2t
   B
3. CP(t)=7,000(2.50)^(t/2)
   C
4. DP(t)=7,000(2.50)^2t
   D

Line p is defined by kx+7y=16. Line p passes through the points (r,0) and (0,t) in the xy-plane, where k, r, and t are nonzero constants and r is not equal to t. Which expression represents the value of k?

1. A16/t
   A
2. B16/r
   B
3. C7/t
   C
4. D7/r
   D

nx+3t=-3x+4n
In the given equation, nand tare constants. The equation has no solution. What CANNOT be the value of n+t?

A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. According to the model, the object was launched from a height of 0 feet and reached its maximum height of 1,600 feet 10 seconds after it was launched. Based on the model, what was the height, in feet, of the object 13 seconds after it was launched?

12(w-a)(w+8)=4(w+8)
In the given equation, a is a constant. The sum of the solution is 34/3. What is the value of a?

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 58 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,450 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?

Javier deposits $45 in a savings account at the end of each week. At the beginning of the 1st week of a year there was $900 in that savings account. How much money, in dollars, will be in the account at the end of the 4th week of the year?

1. A720
   A
2. B945
   B
3. C949
   C
4. D1,080
   D

The function f is defined by f(x)=a^x-b, where a and b are constants. In the xy-plane, the graph of y=f(x) passes through the points (c, 5) and (2c, 137), where c is a constant. Which of the following could be the value of b?

1. A7
   A
2. B16
   B
3. C132
   C
4. D142
   D

The percent increase in mass of a certain red kangaroo from 90 days old to 160 days old was 438%. If this red kangaroo's mass was k grams at 90 days old, which expression represents its mass, in grams, at 160 days old?

1. A0.06k
   A
2. B1.06k
   B
3. C4.38k
   C
4. D5.38k
   D

y-x=40
y=x^2-38x
The graphs of the equations in the given system intersect at the point (x,y) in the xy-plane. What is a possible value of y?

1. A40
   A
2. B41
   B
3. C79
   C
4. D80
   D

y=(x-8)(x+4)
y=12x-96
Which ordered pair (x,y) is the solution to the given system of equations?

1. A(0, 8)
   A
2. B(-4, 8)
   B
3. C(8, 0)
   C
4. D(8, -4)
   D

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is (9x-650)°. The sum of the measures of one of the acute angles and three of the obtuse angles is (-18x+w)° . What is the value of w?

To win a game show, a contestant needs to score at least 80 total points from two rounds. Correct responses in the first round are worth 4 points each, and correct responses in the second round are worth 5 points each. Which inequality models this situation, where f is the number of correct responses in the first round and s is the number of correct responses in the second round?

1. Af+s≤80
   A
2. B4f+5s≥80
   B
3. C5f+s≥80
   C
4. D5f+4s≤80
   D

Which expression is equivalent to 12x^3+30x^2y+12xy+30y^2 ?

1. A(6x^2+10y)(2x+3y)
   A
2. B(4x^2+10y)(3x+3y)
   B
3. C(3x^2+3y)(4x+10y)
   C
4. D(2x^2+3y)(6x+10y)
   D

The function f is defined by the equation f(x)=5|x-4|-25. What is the value of f(-4)?

1. A-65
   A
2. B-25
   B
3. C15
   C
4. D65
   D

f(x)=60x+8
The given function f estimates the distance a train has traveled, in kilometers, from a station in a certain city x hours after crossing the city border. What is the best interpretation of 8 in this context?

1. ABetween the station and the city border, the train traveled an estimated total distance of 8 kilometers.
   A
2. BAfter crossing the city border, the train traveled at an estimated speed of 8 kilometers per hour.
   B
3. CAfter crossing the city border, the train traveled an estimated total distance of 8 kilometers.
   C
4. DBetween the station and the city border, the train traveled at an estimated speed of 8 kilometers per hour.
   D

2(x+b/2-17)=2x
In the given equation, b is a constant. The equation has infinitely many solutions. What is the value of b?

The product of two positive integers is 752. If the first integer is 15 greater than twice the second integer, what is the smaller of the two integers?

1. A8
   A
2. B16
   B
3. C47
   C
4. D94
   D

The function g is defined by g(x)=-x/4+11. What is the x-intercept of the graph of y=g(x)+7in the xy-plane?

1. A(72,0)
   A
2. B(44,0)
   B
3. C(-72,0)
   C
4. D(-44,0)
   D

A store sells bottles of water for $0.93 each and makes a profit of $0.35 on each bottle sold. During the first three days of a week, the store sold 128 bottles of water. The rest of the week, the store sold w bottles of water. The store made a total profit of $130.20 from selling bottles of water during the week. Which equation represents this situation?

1. A(0.93-0.35)(w+128)=130.20
   A
2. B(0.93-0.35)(w-128)=130.20
   B
3. C0.35(w+128)=130.20
   C
4. D0.35(w-128)=130.20
   D

A researcher surveyed undergraduate students, graduate students, and postdoctoral students. The number of undergraduate students surveyed was 6,950% of the number of postdoctoral students surveyed and the number of graduate students surveyed was 32% of the number of undergraduate students surveyed. If there were 4,448 graduate students surveyed, what was the sum of the number of undergraduate students and postdoctoral students surveyed?

5x=75y-100
One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

1. Ax=3y
   A
2. B1/5x=3y
   B
3. Cx=15y-20
   C
4. D1/5x=15y-20
   D

In the xy-plane, lines k and j are perpendicular and intersect at the point(4, 23). Line j passes through the origin, and line k passes through the point (p, 0), where p is a constant. What is the value of p?

1. A-128.25
   A
2. B-127.75
   B
3. C135.75
   C
4. D136.25
   D

In 2010, a skating team had a total of 35 skaters, each classified as either advanced or intermediate. From 2010 to 2020, the number of advanced skaters on the team increased by approximately 39%, and the number of intermediate skaters on the team increased by approximately 47%. The total number of skaters on the team increased by approximately 43%. Which equation best represents this situation, where a represents the number of advanced skaters on the team in 2010 and b represents the number of intermediate skaters on the team in 2010?

1. A1.47a+1.39b=35(1.43)
   A
2. B1.39a+1.47b=35(1.43)
   B
3. C1.43a+0.39b=35(1.47)
   C
4. D1.39a+1.43b=35(1.47)
   D