A certain hybrid car uses 39 gallons of gasoline to travel 1,950 miles. At this rate, how many kilometers does the car travel using 39 gallons of gasoline? (Use 1 mile = 1.6 kilometers.)

1. A312
   A
2. B3,120
   B
3. C31,200
   C
4. D312,000
   D

The function h is defined by h(x)=4x-9. What is the value of h(-3) ?

1. A21
   A
2. B13
   B
3. C-13
   C
4. D-21
   D

10x=110
8x-86=y
The solution to the given system of equations is (x,y). What is the value of y ?

1. A86
   A
2. B11
   B
3. C10
   C
4. D2
   D

Which expression is equivalent to 7x^5-6x^4+9x^3?

1. Ax^4(7x-6)
   A
2. Bx^3(7x^2-6x+9)
   B
3. C9x^3(7x^2-6x+1)
   C
4. D6x^5(-6x^4+9x^3+1)
   D

y=0
y=8(x^2-36)
Which ordered pair (x,y) is a solution to the given system of equations?

1. A(0,6)
   A
2. B(0,36)
   B
3. C(6,0)
   C
4. D(36,0)
   D

A group of students purchase ice cream cones and ice cream sundaes. The cones cost $1.40 each, and the cost for 19 sundaes is $64.60. The total cost for the cones and sundaes is $85.60. Which equation represents this situation, where x is the number of cones purchased and y is the number of sundaes purchased?

1. A1.40x+64.60y=85.60
   A
2. B64.60x+1.40y=85.60
   B
3. C3.40x+1.40y=85.60
   C
4. D1.40x+3.40y=85.60
   D

Hakim has a bag of 50 tiles, where 45 are labeled with a letter and 5 are blank. If Hakim selects a tile from the bag at random, what is the probability of selecting a blank tile? (Express your answer as a decimal or fraction, not as a percent.)

In △DEF , the measure of ∠D is 114°. Which of the following could be the measure, in degrees, of ∠E ?

1. A115
   A
2. B90
   B
3. C67
   C
4. D65
   D

Which expression is equivalent to20x^2+3+5x^2 ?

1. A25x^4+3
   A
2. B25x^2+3
   B
3. C28x^4
   C
4. D28x^2
   D

A company opens an account with an initial balance of $35,600.00. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function A, where A(t)is the account balance, in dollars, t years after the account is opened. The account balance after 15 years is $129,672.38. Which equation could define A?

1. AA(t)=35,600.00(1.09)^t
   A
2. BA(t)=35,600.00(0.09)^t
   B
3. CA(t)=94,072.38(1.09)^t
   C
4. DA(t)=94,072.38(0.09)^t
   D

What is the y-intercept of the graph of y=14^x in the xy-plane?

1. A(0,15)
   A
2. B(0,14)
   B
3. C(0,1)
   C
4. D(0,-1)
   D

The function f is defined by f(x)=2x+b , where b is a constant and f(7)=6. What is the value of b?

A number f is 120% greater than a positive number g. A number h is 90% less than the number f . The number h is how many times the number g?

1. A0.12
   A
2. B0.22
   B
3. C1.08
   C
4. D1.98
   D

h(t)=-16t^2+b
The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 40.96 feet above the ground when it is dropped at t=0 . How many seconds after being dropped does the function estimate the object will hit the ground?

For a set of three consecutive integers, the result of subtracting the greatest integer from the sum of the other two integers is 48. What is the value of the greatest of the three integers?

A rectangular banner has an area of 2,300 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. A2,320
   A
2. B2,340
   B
3. C2,760
   C
4. D3,312
   D

(x-42)^2=1
What is the sum of the solutions to the given equation?

1. A42
   A
2. B43
   B
3. C84
   C
4. D85
   D

5(kx-n)=-65/14x-85/18
In the given equation, k and n are constants and n>1 . The equation has no solution. What is the value of k?

If 9+x=6, what is the value of -18-2x ?

1. A-12
   A
2. B-2
   B
3. C6
   C
4. D24
   D

In the xy-plane, line s is parallel to line t. Line s is defined by y+16=7x . What is the slope of line t?

1. A-16
   A
2. B-7
   B
3. C7
   C
4. D16
   D

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants, the equation y=0.67x+2.6 , where 20≤x≤110 , gives the predicted number of larvae, y, in the colony. If one of these colonies has 39 worker ants, which of the following is closest to the predicted number of larvae in the colony?

1. A29
   A
2. B42
   B
3. C54
   C
4. D128
   D

y>5x-4
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

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

P=N(34-C)
The given equation relates the variables P, N, and C. Which expression represents the value of C for distinct positive values of P and N?

1. AC+P/N
   A
2. B34+P/N
   B
3. C34-P/C
   C
4. D34-P/N
   D

x^2-15x+12=0
What is the sum of the solutions to the given equation?

1. A15
   A
2. B12
   B
3. C3
   C
4. D0
   D

The function f(x)=1/7(x-6)^2+4 gives a toy car's height above the ground f(x) , in inches, x seconds after it started moving on an elevated track, where 0≤x≤10. Which of the following is the best interpretation of the vertex of the graph of y=f(x) in the xy-plane?

1. AThe toy car's minimum height was 4 inches above the ground.
   A
2. BThe toy car's minimum height was 6 inches above the ground.
   B
3. CThe toy car's height was 4 inches above the ground when it started moving.
   C
4. DThe toy car's height was 6 inches above the ground when it started moving.
   D

A researcher surveyed undergraduate students, graduate students, and postdoctoral students. The number of undergraduate students surveyed was 7,150% of the number of postdoctoral students surveyed and the number of graduate students surveyed was 45% of the number of undergraduate students surveyed. If there were 6,435 graduate students surveyed, what was the sum of the number of undergraduate students and postdoctoral students surveyed?

16x-20y=6y+8
ty=8x+1/5
In the given system of equations, t is a constant. If the system has no solution, what is the value of t?

f(x)=7(4)^x
The function f is defined by the given equation. If g(x)=f(x+3) , which of the following equations defines the function g?

1. Ag(x)=21(4)^x
   A
2. Bg(x)=448(4)^x
   B
3. Cg(x)=21(12)^x
   C
4. Dg(x)=343(64)^x
   D

The bone mineral density of a certain person's thoracic spine was estimated to be 0.812 grams per square centimeter. What is this estimated bone mineral density in grams per square millimeter? (1 centimeter = 10 millimeters)

1. A81.2
   A
2. B8.12
   B
3. C0.0812
   C
4. D0.00812
   D

Which expression is a factor of 49p^19-121p^17 ?

1. A7p+11
   A
2. B49p^2+121
   B
3. C11p-7
   C
4. D-72p^40
   D

5/9(5x+9)(x+√5k+9)(x-√5k+9)=0
In the given equation, k is a positive constant. The product of the solutions to the equation is 72. What is the value of k?

A right rectangular prism has a base area of 56t square centimeters (cm²). The length of the base of the rectangular prism is 14/3 cm, and the height of the rectangular prism is 3 cm. Which expression represents the surface area, in cm², of the right rectangular prism?

1. A112t+56
   A
2. B184t+28
   B
3. C1,680t+28
   C
4. D168t
   D

In the xy-plane, a unit circle with center at the origin O contains point A with coordinates (1,0) and point B with coordinates (5/(√34),-3/(√34)) . If the measure of angle AOB is p radians, what is the value of (cos p)/(sin p) ?

The function h is defined byh(x)=-√x^2+bx+c , where b and c are constants. In the xy-plane, the graph of y=h(x) contains the points (2,0) and (0,-√334) . If h(m)=0, what is the greatest possible value of m?

A computer repair specialist charges $160 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 6 hours of repair is $360. Which function f gives the total cost, in dollars, for x hours of repair, where x≥2 ?

1. Af(x)=50x+60
   A
2. Bf(x)=50x+160
   B
3. Cf(x)=60x
   C
4. Df(x)=60x+160
   D