The function f is defined by f(x)=15x+10. What is the value of f(x) whenx=2 ?

1. A27
   A
2. B30
   B
3. C40
   C
4. D50
   D

In the xy-plane, the graph of y=f(x) is a line that passes through (0, 21) and has a slope of 4. Which equation defines f?

1. Af(x)=21x
   A
2. Bf(x)=21x+4
   B
3. Cf(x)=4x
   C
4. Df(x)=4x+21
   D

y=2/5x+2
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-2
   A
2. B-1/2
   B
3. C1/2
   C
4. D2
   D

The relationship between the variables x and y is defined by an exponential equation. When x=0 , the value of y is 90, and for every increase in the value of x by 1, the corresponding value of y increases by 20% of its previous value. Which equation represents this relationship?

1. Ay=90(1.20)^x
   A
2. By=90(1.02)^x
   B
3. Cy=20(1.90)^x
   C
4. Dy=20(1.09)^x
   D

The function h is defined by h(x)=7|x|. What is the value of h(-2)?

1. A-14
   A
2. B5
   B
3. C9
   C
4. D14
   D

Raheem bought 9 shirts that were each the same price. He used a coupon for $54 off the entire purchase. The cost for the entire purchase after using the coupon was $108. What was the original price, in dollars, for 1 shirt?

Line t in the xy-plane has a slope of-1/3 and passes through the point (9, 4). Which equation defines line t?

1. Ay=7x-1/3
   A
2. By=9x+4
   B
3. Cy=-x/3+4
   C
4. Dy=-x/3+7
   D

(x-16)(x-12)(x+7)(x+13)=0
What is a positive solution to the given equation?

A right circular cone has a height of 13 centimeters (cm) and a base with a radius of 6 cm. What is the volume, in cm³, of this cone?

1. A26π
   A
2. B78π
   B
3. C156π
   C
4. D468π
   D

A linear model estimates the population of a city from 1995 to 2019. The model estimates the population was 55 thousand in 1995, 217 thousand in 2015, and x thousand in 2019. To the nearest whole number, what is the value of x?

y=500(2)^2x
The equation gives the estimated number of online newsletter subscribers at the end of every six-month period, x, starting from the end of January 1997, where 0≤x≤4. Which statement is the best interpretation of the y-intercept of the graph of this equation in the xy-plane?

1. AThe estimated number of online newsletter subscribers at the end of the first six-month period was 500.
   A
2. BThe estimated number of online newsletter subscribers at the end of January 1997 was 500.
   B
3. CThe estimated number of online newsletter subscribers at the end of January 1998 was 1,000.
   C
4. DThe estimated number of online newsletter subscribers at the end of January 1997 was 1,000.
   D

x/7+5(y-14)=29
x/3-5(y-14)=41
The solution to the given system of equations is (x, y). What is the value of 10x?

When several resistors are connected in series in a circuit, the total resistance of the circuit is the sum of the resistances of these resistors. A certain circuit consists of 8 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 130 ohms. The total resistance of 3 resistors in this circuit is 90 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 5 resistors in this circuit?

1. A0<x<8
   A
2. B0<x<40
   B
3. C40<x<90
   C
4. D40<x<130
   D

A family has money in an account for renting movies online. Each time the family rents a movie, the cost of the rental is withdrawn from the account, and each rental costs the same amount of money. The function f(m)=21-3m gives the amount of money, in dollars, in the account after the family has rented m movies. Which of the following represents the amount of money, in dollars, withdrawn from the account each time the family rents a movie?

1. A3m
   A
2. B3
   B
3. C21
   C
4. D21-3m
   D

If9-4(4-9x)=2-5(4-9x), what is the value of4-9x?

On a plot of land, 52.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 21.5% of the square footage of the farmland, and there are buildings on exactly 14.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

The graph of the polynomial function fin the xy-plane, where y=f(x), passes through the point (5, 3). What is the value of f(5)?

1. A3
   A
2. B5
   B
3. C8
   C
4. D15
   D

A circle has a circumference of 42π centimeters. What is the diameter, in centimeters, of the circle?

49=2K/(v^2)
For an object with a mass of 49 kilograms, the given equation relates the kinetic energy K, in joules, of the object to the object's speed v, in meters per second, where K and v are positive. Which equation correctly expresses this object's speed, in meters per second, in terms of the object's kinetic energy, in joules?

1. Av=√2K/49
   A
2. Bv=√49/2K
   B
3. Cv=(49^2)/2K
   C
4. Dv=2K/(49^2)
   D

The function f is defined by f(x)=4x^2. What is the value of f(11)?

1. A44
   A
2. B52
   B
3. C88
   C
4. D484
   D

g(x)=1/9(5)^x
If the given function g is graphed in the xy-plane, where y=g(x), what is the y-intercept of the graph?

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

The function fis defined by f(x)=20x. For what value of x is f(x)=140?

The population of a certain city doubled every 75 years from 1652 to 1952. The population of this city was 160,000 in 1952. What was the population of this city in 1652?

x^2-49/81=0
How many distinct real solutions does the given equation have?

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

a(7x-14)+5a=7(ax-2a)-35
In the given equation, a is a constant. The equation has infinitely many solutions. What are all possible values of a?

1. A0 only
   A
2. B-7 only
   B
3. CAny real number
   C
4. DNo real number
   D

If x>0 and x is 33% of y, which expression represents y in terms of x?

1. A100/33x
   A
2. B10/33x
   B
3. C1/33x
   C
4. D67/100x
   D

5√x^m
In the given expression, m is a constant andx>1. The expression can be rewritten as 7√x. What is the value of m?

A book-of-the-month club charges $13 for the first book purchased during the month and an additional $11 for each book after the first. Which equation describes this situation, where y is the total cost, in dollars, for books purchased during a month, x is the number of books purchased during the month, and x>0?

1. Ay=x+13
   A
2. By=11x+13
   B
3. Cy=11(x-1)+13
   C
4. Dy=(x-1)+13
   D

z(w)=(0.829)^2w
The function z is defined by the equation shown. The value of z(w) decreases by p% for each increase by 1 in the value of w. Which of the following is closest to the value of p?

1. A0.171
   A
2. B0.829
   B
3. C17.1
   C
4. D31.3
   D

21x^2+(21s+r)x+rs=0
In the given equation, r and s are positive constants. The product of the solutions to the given equation is krs, where k is a constant. What is the value of k?

The speeds of particles A, B, and C are a meters per second, b meters per second, and c meters per second, respectively. If the speed of particle A is 6,000% of the speed of particle C and the speed of particle C is 0.008% of the speed of particle B, which expression represents the value of a+b in terms of c?

1. A12,560c
   A
2. B6,125c
   B
3. C6,008c
   C
4. D1,850c
   D

-16(5x-3)^2+4(5x-2)^2
The given expression can be rewritten as a/4x^2+b/4x+c/4, where a, b, and c are constants. What is the value of a+b+c?

1. A-112
   A
2. B-56
   B
3. C-28
   C
4. D-7
   D

f(x)=66(b)^x
In the given function, b is a positive constant. For every increase in the value of x by 1, the value of f(x) increases by c%, where 0<c<100. Which expression gives the value of c in terms of b?

1. A1+b/100
   A
2. Bb+100
   B
3. C100(b+1)
   C
4. D100(b-1)
   D

On average, a certain tree grows 87 centimeters every m months. At this rate, which expression represents the number of centimeters, on average, the tree grows every k years?

1. A29m/4k
   A
2. B29k/4m
   B
3. C(1,044m)/k
   C
4. D(1,044k)/m
   D