Line r in the xy-plane has a slope of -8 and passes through the point (0,60). Which equation defines line r ?

1. Ay=-8x+60
   A
2. By=-8x+52
   B
3. Cy=-8x-52
   C
4. Dy=-8x-60
   D

Which expression is equivalent to 19(x^2-8) ?

1. A19x^2+11
   A
2. B19x^2-8
   B
3. C19x^2-27
   C
4. D19x^2-152
   D

The function f is defined by f(x)=5x^3+3. What is the value of f(2)?

A car travels at a speed of at least 40 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

1. Ax≥40
   A
2. Bx≥65
   B
3. C40≤x≤65
   C
4. Dx≤105
   D

The ratio of k to p is constant. Ifk=4 , then p=3 . What is the value of k when p=24?

h(x)=x+b
For the linear function h , b is a constant and h(0)=26. What is the value of b ?

Which expression is equivalent to(x)^(1/17), where x>0?

1. A1/17•x ^1/17 • x
   A
2. B17√x
   B
3. C17•x
   C
4. D(x)^17
   D

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

What is the slope of the graph of 48x-6y=-32 in the xy-plane?

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

-5(v-8)(v-2)(v+9)=0
What value of v is a solution to the given equation?

1. A-5
   A
2. B-2
   B
3. C8
   C
4. D9
   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 53 worker ants, which of the following is closest to the predicted number of larvae in the colony?

1. A173
   A
2. B75
   B
3. C56
   C
4. D38
   D

In triangle DEF, the measure of angle D is 40° and the measure of angle E is 95°. In triangle RST, the measure of angle R is 40° and the measure of angle S is 95°. Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST ?

1. AThe measure of angle F
   A
2. BThe measure of angle T
   B
3. CThe measure of angle F and the measure of angle T
   C
4. DNo additional information is needed.
   D

If -7(13-5x)+3=-8(13-5x)+21, what is the value of 13-5x?

The function f(x)=1/9(x-4)^2+5 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 5 inches above the ground.
   A
2. BThe toy car's minimum height was 4 inches above the ground.
   B
3. CThe toy car's height was 5 inches above the ground when it started moving.
   C
4. DThe toy car's height was 4 inches above the ground when it started moving.
   D

The function f(t)=30,000(2)^(t/370) 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?

1. A2
   A
2. B370
   B
3. C740
   C
4. D30,000
   D

The measure of angle R is 5/6π radians. The measure of angle T is 7π/12radians greater than the measure of angle R. What is the measure of angle T, in degrees?

1. A105
   A
2. B150
   B
3. C255
   C
4. D510
   D

g(x)=x^2+27/2x
Which expression represents the minimum value of the given function?

1. A-(27/2)^2
   A
2. B-(27/4)^2
   B
3. C(27/4)^2
   C
4. D(27/2)^2
   D

The expression 0.33x represents the result of decreasing a positive quantity x by what percent?

1. A6.7%
   A
2. B67%
   B
3. C3.3%
   C
4. D33%
   D

The edge length, in inches, of cube Y is 3/64 the edge length, in inches, of cube X . The surface area, in square inches, of cube Y is n times the surface area, in square inches, of cube X . What is the value of n ?

1. A9/4096
   A
2. B27/2048
   B
3. C3/64
   C
4. D9/32
   D

The value of y is 8 more than twice the value of x. Which equation represents y in terms of x ?

1. Ay=10x+2
   A
2. By=2x+8
   B
3. Cy=10x+8
   C
4. Dy=8x+2
   D

To purchase a used car at a total price of 11,000 dollars, a onetime down payment is required, and then fixed monthly payments are made for the remaining amount owed for the car. The equation 11,000=2,200+200t represents this situation, where t is the number of fixed monthly payments that are made. Which of the following is the best interpretation of 200 in this context?

1. AThe amount, in dollars, of the down paymen
   A
2. BThe amount, in dollars, of each fixed monthly paymen
   B
3. CThe total amount, in dollars, paid for the car after t fixed monthly payments
   C
4. DThe total number of fixed monthly payments
   D

Line k is defined by y=3x-2. Line j is parallel to line k in the xy-plane and passes through the point (0, 1) .Which equation defines line j?

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

How many solutions does the equation 5x+3=5x have?

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

A model predicts that the population of a certain town was 5,000 in 2008. The model also predicts that each year for the next 5 years, the population p increased by 4% of the previous year's population. Which equation best represents this model, where x is the number of years after 2008, for x≤5?

1. Ap=0.96(5,000)^x
   A
2. Bp=1.04(5,000)^x
   B
3. Cp=5,000(0.96)^x
   C
4. Dp=5,000(1.04)^x
   D

A park rents beach umbrellas to visitors. The park earns revenue of $15 for each beach umbrella they rent for the day. On Wednesday, the park earned $435 in profit from renting beach umbrellas after paying daily expenses of $150. How many beach umbrellas did the park rent on Wednesday? (profit = total revenue - total expenses)

1. A19
   A
2. B29
   B
3. C38
   C
4. D39
   D

r=√9w-5
The given equation relates the real numbers r and w, where w>5/9.Which equation correctly expresses w in terms of r ?

1. Aw=√-5r+9
   A
2. Bw=√9r-5
   B
3. Cw=(r^2)/9+5/9
   C
4. Dw=(r^2)/9+5
   D

A hemisphere is half of a sphere. If a hemisphere has a radius of 83 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?

1. A14,400
   A
2. B57,700
   B
3. C898,200
   C
4. D1,197,500
   D

For a certain type of rope, the equation y=900ax^2 , where a is a constant, gives the estimated breaking strength y , in pounds, of a rope with a circumference of x inches. Based on this equation, if a rope of this type has a circumference of 0.75 inches, it has an estimated breaking strength of 708.75 pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a circumference of 4.50 inches?

The function h is defined by h(x)=(x+p)(x-4)(2x-6), where p is a constant. In the xy-plane, the graph of y=h(x) passes through the point (-6,0). What is the value of h(0)?

1. A144
   A
2. B1
   B
3. C-6
   C
4. D-72
   D

If x≥-8 represents all solutions to the inequality ax-18≤14, where a is a constant, what is the greatest possible value of a ?

5(3x)+4(8y)=16
-5(3x)+4(8y)=16
The solution to the given system of equations is (x, y). What is the value of 3x-8y?

1. A0.5
   A
2. B0.8
   B
3. C-4
   C
4. D16
   D

For the positive quantities h , j , and k , 35% of h is equivalent to 49% of j , and j is equivalent to 45% of k . What percentage of k is h ? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39)

4x^2+19=32x+r
In the given equation, r is a constant. The equation has exactly one real solution. What is the value of r?

For the function f , for every increase of 2 in the value of x, the value of f(x) increases by a factor of c, where c is a constant. Which of the following equivalent forms of function f displays the value of c as the base or the coefficient?

1. Af(x)=48(2)^6x
   A
2. Bf(x)=48(8)^2x
   B
3. Cf(x)=48(64)^x
   C
4. Df(x)=48(4,096)^(x/2)
   D

Each of the following frequency tables represents a data set. Which of these frequency tables represents the data set with the smallest standard deviation?

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

x^2-4x+y^2-8y-80=0
In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?

1. A20
   A
2. B40
   B
3. C80
   C
4. D320
   D

7x+5y=2
The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system?
Ⅰ.10.5x+7.5y=3
Ⅱ.10.5x-7.5y=3

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

The function f is defined by f(x)=ax^2+bx+c , where a , b, and c are constants. The graph of y=f(x) in the xy-plane passes through the points (8,0) and (-2,0). If a is an integer greater than 1, which of the following could be the value of a+b?

1. A-10
   A
2. B-5
   B
3. C6
   C
4. D7
   D

An object's speed is increasing at a rate of 2.7 meters per second squared. What is this rate, in miles per minute squared, rounded to the nearest tenth? (Use 1 mile =1,609 meters.)

1. A0.1
   A
2. B6
   B
3. C72.4
   C
4. D595.9
   D