Each side of square A has a length of 13 inches. Each side of square A is multiplied by a scale factor of 3 to create square B. What is the length, in inches, of each side of square B?

1. A10
   A
2. B13
   B
3. C16
   C
4. D39
   D

The function f(x)=1/9(x-6)^2+3 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 3 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 3 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

If 3x=8, what is the value of 21x?

1. A1
   A
2. B15
   B
3. C31
   C
4. D56
   D

A car travels at a speed of at least 25 miles per hour but no more than 50 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≥25
   A
2. Bx≥50
   B
3. C25≤x≤50
   C
4. Dx≤75
   D

A list of 10 data values is shown.
10, 14, 22, 6, 24, 26, 14, 8, 8, 8
What is the mean of these data?

1. A8
   A
2. B12
   B
3. C14
   C
4. D20
   D

f(x)=7x+3
The function f gives the estimated height, in feet, of a willow tree x years after its height was first measured. Which statement is the best interpretation of 3 in this context?

1. AThe tree will be measured each year for 3 years.
   A
2. BThe tree is estimated to grow to a maximum height of 3 feet.
   B
3. CThe estimated height of the tree increased by 3 feet each year.
   C
4. DThe estimated height of the tree was 3 feet when it was first measured.
   D

Which expression is equivalent to 2x^3+8x^2y+xy^2+4y^3?

1. A(2x^2+4y)(x+y^2)
   A
2. B(2x^2+y^2)(x+4y)
   B
3. C(2x^3+y^2)(x^2+4y^3)
   C
4. D(2x^3+y^3)(x+4y)
   D

f(x)=x^3+8x+17
For the given function f, the graph of y=f(x) in the xy-plane passes through the point (0, b), where b is a constant. What is the value of b?

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 35 worker ants, which of the following is closest to the predicted number of larvae in the colony?

1. A114
   A
2. B48
   B
3. C38
   C
4. D26
   D

b-49=x/y
The given equation relates the positive numbers b, x, and y. Which equation correctly expresses x in terms of b and y?

1. Ax=(by-49)/y
   A
2. Bx=by-49y
   B
3. Cx=by-49
   C
4. Dx=(b-49)/y
   D

2y=5x+16 -2y=7x-22
-2y=7x-22
The solution to the given system of equations is (x, y). What is the value of 24x?

1. A-12
   A
2. B-6
   B
3. C6
   C
4. D12
   D

19.5x+24.25y=583
Odalys ordered mulch and river rock, which cost a total of $583, for her home. The given equation represents the relationship between the number of cubic yards of mulch, x, and the number of tons of river rock, y, Odalys ordered. How much more, in dollars, did a ton of river rock cost Odalys than a cubic yard of mulch?

James purchased a certain baseball card on January 1. The function f(x)=55(1.04)^x, where 0≤x≤10, gives the predicted value, in dollars, of the baseball card x years after James purchased it. What is the best interpretation of the statement “f(7) is approximately equal to 72” in this context?

1. AWhen the baseball card’s predicted value is approximately 72 dollars, it is 7% greater than the predicted value, in dollars, on January 1 of the previous year.
   A
2. BWhen the baseball card’s predicted value is approximately 72 dollars, it is 7 times the predicted value, in dollars, on January 1 of the previous year.
   B
3. CFrom the day James purchased the baseball card to 7 years after James purchased the card, its predicted value increased by a total of approximately 72 dollars.
   C
4. D7 years after James purchased the baseball card, its predicted value is approximately 72 dollars.
   D

At what value of x does the graph of y=x^2+18x-23 reach its minimum in the xy-plane?

1. A-23
   A
2. B-9
   B
3. C9
   C
4. D18
   D

P(t)=260(1.03)^((3/2)t)
The function P models the population, in thousands, of a certain city t years after 2009. According to the model, the population is predicted to increase by n% every 8 months. What is the value of n?

1. A0.22
   A
2. B1.03
   B
3. C2
   C
4. D3
   D

How many centimeters are equivalent to 47 meters? (1 meter = 100 centimeters)

Circle A has a radius of 3x and circle B has a radius of 135x. The area of circle B is how many times the area of circle A?

The graph of a line in the xy-plane passes through the point (1, 5) and crosses the x-axis at the point (9, 0). The line crosses the y-axis at the point (0, b). What is the value of b?

If 2a/b=6.5 and a/bn=26, what is the value of n?

For two acute angles, ∠Q and ∠R , cos(Q)=sin(R). The measures, in degrees, of ∠Q and ∠R are x+61 and 4x+4, respectively. What is the value of x?

1. A5
   A
2. B19
   B
3. C23
   C
4. D29
   D

Which expression is equivalent to 14(x^2-6)?

1. A14x^2-84
   A
2. B14x^2-20
   B
3. C14x^2-6
   C
4. D14x^2+8
   D

A scientist analyzed a soil sample with a mass of 900 grams and determined that it contained 189 grams of water. What is the percentage of water, by mass, in this soil sample?

1. A9%
   A
2. B9.9%
   B
3. C18.9%
   C
4. D21%
   D

x+5=11 y=3x^2+3
y=3x^2+3
At what point (x, y) do the graphs of the equations in the given system intersect?

1. A(6,108)
   A
2. B(6,111)
   B
3. C(11,3)
   C
4. D(11,3)
   D

If 6/7p+42=84, what is the value of 7p?

If 5(x+4)=4(x+4)+58, what is the value of x+4?

1. A-4
   A
2. B54
   B
3. C58
   C
4. D62
   D

Circle N has a radius of 6 millimeters (mm). Circle M has an area of 121π mm². What is the total area, in mm², of circles N and M ?

1. A17π
   A
2. B133π
   B
3. C145π
   C
4. D157π
   D

What is the slope of the graph of y=1/4(27x+12)+7x in the xy-plane?

1. A27/4
   A
2. B55/4
   B
3. C27
   C
4. D34
   D

The function f is defined by f(x)=(x+16)/5 , and f(a)=-19, where a is a constant. What is the value of a?

1. A-111
   A
2. B-79
   B
3. C-79/5
   C
4. D-3/5
   D

For the linear function p, p(c)=-2 , where c is a constant, p(5)=34, and the slope of the graph of y=p(x) in the xy-plane is 6. For the linear function t, t(c)=-4 and t(6)=52. What is the slope of the graph of y=t(x) in the xy-plane?

1. A-1
   A
2. B4
   B
3. C6
   C
4. D8
   D

18x^2-24x+c=0
In the given equation, c is a constant. The equation has exactly one solution. What is the value of c?

A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native owl. Each structure has a height of 11 inches. The length of each structure’s base is x inches, which is 1 inch more than the width of the structure’s base. Which function V gives the volume of each structure, in cubic inches, in terms of the length of the structure’s base?

1. AV(x)=11x(x-1)
   A
2. BV(x)=11x(x+1)
   B
3. CV(x)=x(x+11)(x-1)
   C
4. DV(x)=x(x+11)(x+1)
   D

(x+1)/(5x^2)=k/x
In the given equation, k is a constant. The solution to the given equation is 1/224. What is the value of k ?

The function f is defined by f(x)=-39^x. The function g is a decreasing linear function. In the xy-plane, the graphs of y=f(x) and y=g(x) intersect at two points, (h,j) and(k,m), where j>m. When g(x)<f(x), which of the following must also be true?

1. Ax>k
   A
2. Bx<h
   B
3. Cx>kor x<h
   C
4. Dh<x<k
   D

One gallon of sealant costs $29 and will cover 300 square feet of a surface. A deck has a total surface area of d square feet. Which equation represents the cost c, in dollars, of the sealant needed to cover the deck twice?

1. Ac=300d/29
   A
2. Bc=600d/29
   B
3. Cc=29(d/150)
   C
4. Dc=29(d/300)
   D

A triangular prism has a height of 9 centimeters (cm) and a volume of 234 cm³. What is the area, in cm², of the base of the prism? (The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

An area of 56.00 square nautical miles is equivalent to k square kilometers. To the nearest tenth, what is the value of k? (1 nautical mile = 1.852 kilometers)

A circle in the xy-plane has its center at (-7,3) and has a radius of 9. An equation of this circle is x^2+y^2+ax+by+c=0, where a, b, and c are constants. What is the value of c ?

y=x-c
y=-4(x-6)^2
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?

1. A1
   A
2. B5
   B
3. C95/16
   C
4. D11
   D

The functions f and g are defined by the equations shown, where a and b are integer constants, a<b andb<0. Ify=f(x) and y=g(x) are graphed in the xy-plane, which of the following equations displays, as a constant or coefficient, the y-coordinate of the y-intercept of the graph of the corresponding function?
I. f(x)=a(4.2)^(x+b)
II. g(x)=a(4.2)^x+b

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

5x+4y=3
15x+12y=9
For each real number r, which of the following points lies on the graph of each equation in the xy-plane for the given system?

1. A(r,-4r/5+3/5)
   A
2. B(r,5r/4+3/4)
   B
3. C(-4r/5+3/5,r)
   C
4. D(r/3+3,-r/3+9)
   D

In triangle ABC and triangle DEF , sides AB and DE each have a side length of 10 inches, and angles A and D each have an angle measure of 40°. Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal.
III. The lengths of sides BC and EF are equal.

1. AI is sufficient, but II and III are not.
   A
2. BII is sufficient, but I and III are not.
   B
3. CIII is sufficient, but I and II are not.
   C
4. DII is sufficient and III is sufficient, but I is not.
   D
5. AI is sufficient, but II and III are not.
   A
6. BII is sufficient, but I and III are not.
   B
7. CIII is sufficient, but I and II are not.
   C
8. DII is sufficient and III is sufficient, but I is not.
   D