During a portion of a flight, a small airplane's cruising speed varied between 125 miles per hour and 145 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?

1. As≤20
   A
2. Bs≤125
   B
3. Cs≤145
   C
4. D125≤s≤145
   D

If 4x = 7, what is the value of 24x?

1. A1
   A
2. B13
   B
3. C34
   C
4. D42
   D

Which expression is equivalent to (x^3+8x^2-7x)+6(x^2+5) ?

1. Ax^3+6x^2-7x+30
   A
2. Bx^3+8x^2-7x+30
   B
3. Cx^3+14x^2-7x+30
   C
4. Dx^3+5x^2-7x+30
   D

The function f is defined by f(x)=x^3+19 . What is the value of f(2)?

The function g is defined by g(x)=x/2 . For what value of x does g(x)=224 ?

The y-intercept of the graph of y=x^2+15 in the xy-plane is (0, y). What is the value of y?

4x - 3y = - 24
For the given equation, which table gives three values of x and their corresponding values of y ?

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

A chemist combines water and isopropanol to make a mixture with a volume of 38 milliliters (mL). The volume of isopropanol in the mixture is 10 mL. What is the volume of water, in mL, in the mixture? (Assume that the volume of the mixture is the sum of the volumes of water and isopropanol before they were mixed.)

y=-1/8x
y=1/10x
The solution to the given system of equations is (x, y). What is the value of x?

1. A-8
   A
2. B0
   B
3. C2
   C
4. D10
   D

A company has a customer loyalty program. In January 2018, there were 800 customers enrolled in the loyalty program. For the next 24 months after January 2018, the total number of customers enrolled in the loyalty program each month was 5% greater than the total number enrolled the previous month, Which equation gives the total number of customers, c, enrolled in the company's loyalty program m months after January 2018, where m < 24?

1. Ac=800(0.05)^m
   A
2. Bc=800(1.05)^m
   B
3. Cc=800(1.5)^m
   C
4. Dc=800(5)^m
   D

The function f(t)=60,000(2)^(t/580) gives the number of bacteria in a population t minutes after an initial observation, How much time, in minutes, does it take for the number of bacteria in the population to double?

For x > 0, the function f is defined as follows:
f (x) equals 293% of x
Which of the following could describe this function?

1. ADecreasing exponential
   A
2. BDecreasing linear
   B
3. CIncreasing exponential
   C
4. DIncreasing linear
   D

y=3/8x+2
One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the slope of the graph of the second equation?

1. A-8/3
   A
2. B-3/8
   B
3. C3/8
   C
4. D8/3
   D

If 4x^2-32x-40=0 , what is the value of x^2-8x ?

1. A0
   A
2. B4
   B
3. C8
   C
4. D10
   D

The function f is defined by f (x)=(x - 5)(x - 9)( x + k), where k is a constant. In the xy-plane, the graph of y = f (x) passes through the point (-3, 0). What is the value of f (0)?

1. A-288
   A
2. B-3
   B
3. C11
   C
4. D135
   D

In right triangle ABC, angles A and B are acute, side AC has a length of 29.5, and tanB = 1/9 . What is the length of side BC, rounded to the nearest tenth?

1. A870.2
   A
2. B265.5
   B
3. C5.4
   C
4. D3.3
   D

A rectangular banner has an area of 3,200 square inches, A copy of the banner is made in which the length and width of the original banner are each increased by 20%. What is the area of the copy, in square inches?

1. A3,220
   A
2. B3,240
   B
3. C3,840
   C
4. D4,608
   D

f(x)=(x-4)^2+6
What is the minimum value of the given function?

1. A2
   A
2. B4
   B
3. C6
   C
4. D10
   D

Point F lies on a unit circle in the xy-plane and has coordinates (1, 0). Point G is the center of the circle and has coordinates (0, 0), Point H also lies on the circle and has coordinates (-1, y), where y is a constant. Which of the following could be the positive measure of angle FGH, in radians?

1. A37π/2
   A
2. B39π/2
   B
3. C34π
   C
4. D35π
   D

Which of the following is a graph of a decreasing exponential function?

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

What is the y-intercept of the graph of y=6x^2+4x+3 in the xy-plane?

1. A(0, 3)
   A
2. B(0, 4)
   B
3. C(0, 6)
   C
4. D(0, 7)
   D

The product of a positive number x and the number that is 7 less than x is equal to 18. What is the value of x?

1. A3.5
   A
2. B9
   B
3. C11
   C
4. D25
   D

A cylinder has a diameter of 6 inches and a height of 21 inches. What is the volume, in cubic inches, of the cylinder?

1. A9π
   A
2. B126π
   B
3. C189π
   C
4. D756π
   D

Eli used wax to make candles. The function f (x)= - 9x + 54 approximates the weight, in ounces, of wax Eli had remaining after making x candles. Which statement is the best interpretation of the y-intercept of the graph of y = f (x) in the xy-plane in this context?

1. AEli used approximately 9 ounces of wax for each candle.
   A
2. BEli had approximately 9 ounces of wax when he began to make the candles.
   B
3. CEli had approximately 54 ounces of wax when he began to make the candles.
   C
4. DEli used approximately 54 ounces of wax for each candle.
   D

ak=b/12(8+m)
The given equation relates the positive variables a, b, k, and m. Which equation correctly expresses m in terms of a, b, and k?

1. Am=(12(ak-8))/b
   A
2. Bm=ak-8-b/12
   B
3. Cm=ak-8b/12
   C
4. Dm=12ak/b-8
   D

The function g is defined by g(x)=10^(4x-2) . What is the value of x when g(x) is equal to 10,000?

1. A5/4
   A
2. B3/2
   B
3. C3
   C
4. D4
   D

If z/y=3x/y=3 and 2x/ty=18 , what is the value of t ?

1. A1/3
   A
2. B2/3
   B
3. C3/2
   C
4. D3
   D

A piece of string with a length of 53 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 8 more than 2 times the value of y. What is the value of x?

Which equation has no solution?

1. A-13x-1/9=-13x-1/9
   A
2. B-13x-1/9=-13x+1/9
   B
3. C-13x-1/9=13x-1/9
   C
4. D-13x-1/9=13x+1/9
   D

F(x)=9/5(x-273.15)+32
The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 13.30 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

1. A23.94
   A
2. B55.94
   B
3. C467.73
   C
4. D499.73
   D

An environmental scientist is investigating the volatility of 175 organic compounds by finding the boiling point of each compound. The mean boiling point of all 175 compounds is 167 degrees Celsius. The scientist classifies each of these compounds as either semivolatile or volatile. Of the 175 compounds, 50 compounds were classified as semivolatile, and these 50 compounds have a mean boiling point of 322 degrees Celsius. The remaining 125 compounds were classified as volatile. What is the mean boiling point, in degrees Celsius, of the 125 compounds classified as volatile compounds?

f(x)=26(1.20)^(x/3)
For the given function f, the value of f (x) increases by p% for every increase of x by 6. What is the value of p?

1. A20
   A
2. B31
   B
3. C40
   C
4. D44
   D

A carpenter charges a flat rate of $228 for the first 2 hours of work and $95 for each additional hour of work. Which equation gives the total amount y, in dollars, that the carpenter charges for x hours of work, where x > 2?

1. Ay=95x+228
   A
2. By=228x+418
   B
3. Cy=95x+38
   C
4. Dy=228x+95
   D

y=-6.5
y=x^2+8x+a
In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?

5√272n(6√272n)^2
For what value of x is the given expression equivalent to (272n)^30x , where n >1?

The mass of object A is 438% of the mass of object B, and the mass of object A is 0.073% of the mass of object C. If the mass of object C is p% of the mass of object B, what is the value of P/1000 ?

1/cx=x/72+1/c
In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?