s=10+2t
The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 3 seconds after it began to accelerate?

1. A10
   A
2. B12
   B
3. C13
   C
4. D16
   D

The function f is defined by f(x)=x^2+21 . What is the value of f(2) ?

1. A2
   A
2. B21
   B
3. C23
   C
4. D25
   D

If 3x+4=10 , what is the value of 9x-4?

√w+22=28
What is the solution to the given equation?

1. A2
   A
2. B3
   B
3. C12
   C
4. D36
   D

An aquarium uses small and large tanks to temporarily hold a total of 87 fish. Each small tank holds 1 fish, and each large tank holds 2 fish. Which equation represents this situation, where s is the number of small tanks and b is the number of large tanks the aquarium uses?

1. As+2b=87
   A
2. Bs+b=87
   B
3. C2s+b=87
   C
4. D2s+2b=87
   D

The growth of the number of bacteria in a certain population is modeled by a function that increases exponentially over time. Which of the following could describe how the number of bacteria in the population changes each hour?

1. AEach hour, the number of bacteria in the population is 26% less than it was the previous hour.
   A
2. BEach hour, the number of bacteria in the population is 2,600 less than it was the previous hour.
   B
3. CEach hour, the number of bacteria in the population is 2,600 greater than it was the previous hour.
   C
4. DEach hour, the number of bacteria in the population is 26% greater than it was the previous hour.
   D

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 2 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≤80
   A
2. B2f+9s≥80
   B
3. C9f+s≥80
   C
4. D9f+2s≤80
   D

W(x)=2x+30
The function W gives the total time, in minutes, it takes for a gardener to water x plants and mow the grass. According to the function, how many minutes does it take the gardener to mow the grass?

Triangles JKLand PQRare congruent, where J corresponds to P, and Kcorresponds to Q. The measure of angle J is 55°, the measure of angle Kis 45°, and the measure of angle L is 80°. What is the measure, in degrees, of angle P? (Disregard the degree symbol when entering your answer.)

y=4x+4
y=4x-6
At how many points do the graphs of the given equations intersect in the xy-plane?

1. AZero
   A
2. BExactly one
   B
3. CExactly two
   C
4. DInfinitely many
   D

A rectangle has a width of n yards and a length of (n+4) yards. If the rectangle has an area of 285 square yards, what is the value of n?

The function f is defined by f(x)=4^(x/6)+12 . For what value of x is f (x) equal to 20?

f(x)=x^2-22x+72
The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the zeros of the function as constants or coefficients?

1. Af(x)=x^2-7x-15x+72
   A
2. Bf(x)=(x-4)(x-18)
   B
3. Cf(x)=x(x-22)+72
   C
4. Df(x)=(x-11)^2-49
   D

y=2x^2-15x+23
y=x+a
In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?

1. A-9
   A
2. B-4
   B
3. C4
   C
4. D9
   D

x(r-8)+5=18x+26
In the given equation, r is a positive integer. If the given equation has exactly one solution, what CANNOT be the value of r?

1. A265
   A
2. B8
   B
3. C21
   C
4. D26
   D

A real estate company offers a series of three webinars. 4,000 people attended the first webinar. 65% of the people who attended the first webinar attended the second webinar, and 39% of the people who attended both the first and second webinar attended the third webinar. Of those who attended the first but did not attend the second webinar, 22% attended the third webinar. How many people attended both the first and third webinars but did not attend the second webinar?

In the xy-plane, circle M is the graph of the equation (x+8a)^2+(y-60a)^2=64a^2, where a is a positive constant. Circle V is obtained by shifting circle M 16a units to the right. Which equation represents circle V?

1. A(x-8a)^2+(y-60a)^2=64a^2
   A
2. B(x+8a)^2+(y-44a)^2=64a^2
   B
3. C(x+8a)^2+(y-76a)^2=64a^2
   C
4. D(x+24a)^2+(y-60a)^2=64a^2
   D

Which expression is a factor of 2x^2+34x+8?

1. A2
   A
2. B4x
   B
3. C34x
   C
4. D2x^2
   D

In the xy-plane, line Ll has a slope of -3 and an x-intercept of (3/5,0 ). What is the y-intercept of line l ?

1. A(0,9/5)
   A
2. B(0,3/5)
   B
3. C(9/5,0)
   C
4. D(3/5,0)
   D

Line k is defined by y=6x-4. Line j is parallel to line k in the xy-plane and passes through the point (0, 2). Which equation defines line j?

1. Ay=6x+2
   A
2. By=2x-4
   B
3. Cy=-2x-4
   C
4. Dy=-6x+2
   D

The ratio of the base to the height of a triangle is 1 to 4. The base of the triangle is 104 centimeters. What is the height, in centimeters, of the triangle?

1. A26
   A
2. B52
   B
3. C104
   C
4. D416
   D

A right circular cylinder has a radius of 18 centimeters and a volume of 1,296π cubic centimeters. What is the height, in centimeters, of the cylinder?

If a=4k+6rand b=7k-11r+3, which expression is equivalent to a-b?

1. A-3k+17r-3
   A
2. B-3k+17r+3
   B
3. C-3k-5r+3
   C
4. D-3k-5r-3
   D

x=2+5y
x=4-5y
The solution to the given system of equations is (x, y). What is the value of 2x?

y=2/5x+7
One of the two equations in a system of linear equations is given. The system has infinitely many solutions. If the second equation in the system is y= mx+b, where m and b are constants, what is the value of b?

1. A-7
   A
2. B-1/7
   B
3. C1/7
   C
4. D7
   D

3x^2+7x-5=0
What is the greatest solution to the given equation?

1. A-7/6-(√109)/6
   A
2. B-7/6+(√109)/6
   B
3. C-7/3-(√109)/3
   C
4. D-7/3+(√109)/3
   D

For a particular car, the linear function f gives the predicted power, in brake horsepower (bhp), for engine speeds between 1,000 revolutions per minute (rpm) and 6,000 rpm. According to this function, the car's predicted power is 347 bhp at an engine speed of 2,729 rpm and 600 bhp at an engine speed of 4,500 rpm. The equationf(x)=1/7(x-a)+347 defines f, where x is the engine speed, in rpm, and a is a constant. What is the value of a?

6,6,12,16,35
What is the median of the data set shown?

According to a model, the estimated volume of a certain Douglas fir tree increases by 14.3% for every increase of 100 centimeters in the tree's height. The equation y=ab^(x/100) represents this model, where y represents the estimated volume, in cubic centimeters, of this Douglas fir tree, x represents the tree's height, in centimeters, and a and b are constants. In this equation, what is the value of b?

1. A14.3
   A
2. B1.143
   B
3. C1
   C
4. D0.143
   D

y<-6x-21
y>-4x-10
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

If the perimeter of an equilateral triangle with a height of 47 units isa√3 units, what is the value of a?

1. A47
   A
2. B94
   B
3. C(2,209)/3
   C
4. D(4,418)/4
   D

If (x-5)/4=(x-5)/13, the value of x-5 is between which of the following pairs of values?

1. A-13 and-7
   A
2. B-6and-3
   B
3. C-3 and 3
   C
4. D4and 6
   D

27x^2+(27s+r)x+rs=0
In the given equation, r and s are positive constants. The product of the solutions to the given equation is kr s, where k is a constant. What is the value of k?

A square map has a side length of 30 inches, and 1 inch on the map represents an actual distance of 13 miles. A smaller version of the same map is printed as a square with the side length 85% shorter than the side length of the previous map. On the smaller map, which of the following is closest to the actual distance, in miles, represented by 1 inch?

1. A1.95
   A
2. B7.03
   B
3. C25.50
   C
4. D86.67
   D

The function p is defined by p(x)=a(（x+5）^2-b) (（x+5）^2-c) , where a, b, and c are constants. In the xy-plane, the graph of y=p(x)passes through the points (-6,24) and (0,360). What is the value of p(-10)+p(-4)?

A scientist makes batches of bricks using different sand-to-cement ratios to test how the sand-to-cement ratio affects the strength of the brick. For one batch of bricks, the scientist uses 4,890 cubic centimeters (cm^3cm^3 ) of sand and cement, where the ratio of the volume of sand to the volume of cement is 4 to 1. If s represents the volume, in cm^3, of sand and c represents the volume, in cm^3, of cement that the scientist uses for this batch of bricks, which system of equations represents this situation?

1. As=4c
   s+c=4,890
   A
2. B4s=c
   s+c=4,890
   B
3. Cs=c
   s+4c=4,890
   C
4. Ds=c
   4s+c=4,890
   D

The functions f and g are defined by the given equations, where x≥0. Which of the following equations displays, as a constant or coefficient, the maximum value of the functions it defines, where x≥0 ?
Ⅰ.f(x)=17(1.26)^x+41
Ⅱ.g(x)=6(0.78)^x

1. AⅠ only
   A
2. BⅡ only
   B
3. CⅠ and Ⅱ
   C
4. DNeither Ⅰ nor Ⅱ
   D