13x = 42 - x
What value of x is the solution to the given equation?

An arborist measured and recorded the heights of red maple trees in a certain area. Of the red maple tree heights recorded in this area, the minimum was 42 feet and the maximum was 57 feet. Which inequality is true for all possible values of t, where t represents the recorded height, in feet, of a red maple tree in this area?

1. At ≤ 42
   A
2. Bt ≥57
   B
3. Ct ≥99
   C
4. D42 ≤ t ≤ 57
   D

Javier deposits $45 in a savings account at the end of each week. At the beginning of the 1st week of a year there was $700 in that savings account. How much money, in dollars, will be in the account at the end of the 6th week of the year?

1. A430
   A
2. B745
   B
3. C751
   C
4. D970
   D

The y-intercept of the graph of y = 2x 2+27 is (0, y). What is the value of y ?

f(x) = 5x＋b
For the linear function f, b is a constant and f (7) = 35. What is the value of b?

1. A0
   A
2. B1
   B
3. C5
   C
4. D7
   D

The function h is defined by h(x)= 5|x |. What is the value of h(-3)?

1. A-15
   A
2. B2
   B
3. C8
   C
4. D15
   D

The list gives the mass, in grams, of 5 ruffed lemurs.
3,910; 3,910; 3,130; 3,950; 3,150
What is the mean mass, in grams, of these 5 ruffed lemurs?

y =5(x -3)
y =(x - 3)2
Which ordered pair (x, y) is a solution to the given system of equations?

1. A(8 , -5)
   A
2. B(8 , 25)
   B
3. C(3 , 8)
   C
4. D(2 , -5)
   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 46 worker ants, which of the following is closest to the predicted number of larvae in the colony?

1. A33
   A
2. B49
   B
3. C65
   C
4. D150
   D

Liam has $150 in an account. Each year he expects to have 2.8% more money in the account than he had the previous year Which of the following models best describes how Liam expects the money in his account to change over time?

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

9x +5y= 19
-9x - 3y =7
The solution to the given system of equations is (x, y). What is the value of 2y?

Line k is defined by y = 6x ＋1/9 . Line j is perpendicular to line k in the xy-plane. What isthe slope of line j?

1. A-9
   A
2. B-1/6
   B
3. C1/9
   C
4. D6
   D

The product of a positive number x and the number that is 7 less than x isequal to 228. What is the value of x ?

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?

7 |x -7|=42
What is the sum of the solutions to the given equation?

1. A-6
   A
2. B0
   B
3. C14
   C
4. D49
   D

A cube has an edge length of 82 inches. A solid sphere with a radius of 41 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

1. A262,672
   A
2. B288,532
   B
3. C334,846
   C
4. D546,087
   D

The function h is defined by h(x)= ax＋b, where a and b are positive constants.The graph of y = h(x) in the xy-plane passes through the points (0, 8) and (2, 32). What is the value of ab?

1. A32
   A
2. B35
   B
3. C40
   C
4. D64
   D

f(x) = k(1.84)x
The function f is defined by the given equation, where k is a constant. The value of f(x) increases by p% for every increase of x by 1. For which of the following functions, where k is a constant, does the value of g(x ) increase by p% for every increase of x by 4?

1. Ag(x)=k(1.84x)^(1/4)
   A
2. Bg(x) = k(1.84x)4
   B
3. Cg(x) = k(1.84)x-4
   C
4. Dg(x) = k(1.84)x+4
   D

f(x) =√5x+6
The function f is defined by the given equation. If f(a) =-5a, where a is a constant, what is the value of a?

1. A3/5
   A
2. B2/5
   B
3. C-2/5
   C
4. D-3/5
   D

If 2x = 10, what is the value of 4x ?

1. A7
   A
2. B10
   B
3. C12
   C
4. D20
   D

The predicted number, B(t), of a certain type of bacteria cell in a growth medium is given by the function B(t)= 80(2)t, where t is the time, in days, since the number of bacteria cells was first measured. Which of the following is the best interpretation of B(5)= 2,560 in this context?

1. A5 days after the number of bacteria cells was first measured, the predicted number of bacteria cells was 2,560.
   A
2. B32 days after the number of bacteria cells was first measured, the predicted number of bacteria cells was 2,560.
   B
3. C2,560 days after the number of bacteria cells was first measured, the predicted number of bacteria cells was 5.
   C
4. D2,560 days after the number of bacteria cells was first measured, the predicted number of bacteria cells was 32.
   D

x2 = 2,601
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

The function P(x) = 533(1.011)x models the population of a certain town each year from 1951 through 1966, where x is the number of years after 1951. Which of the following is the best interpretation of “P(5) is approximately equal to 563" in this context?

1. AThe population of the town is estimated to be approximately 5 greater in 1956 than in 1951.
   A
2. BThe population of the town is estimated to be approximately 563 in 1956.
   B
3. CThe population of the town is estimated to be approximately 5 times greater in 1956 than in 1951.
   C
4. DThe population of the town is estimated to increase by approximately 563 every 5 years between 1951 and 1966.
   D

For a certain rectangular region, the ratio of its length to its width is 10 to 4.If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

1. AIt must decrease by 7 units.
   A
2. BIt must increase by 7 units.
   B
3. CIt must increase by 17.5 units.
   C
4. DIt must decrease by 17.5 units.
   D

The expression (9x -28)(15x ＋4) is equivalent to the expression ax2+ bx + c, where a, b,and c are constants. What is the value of b?

Rectangles ABCD and EFGH are similar The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 96 square units. What is the area, in square units, of EFGH?

1. A16
   A
2. B36
   B
3. C576
   C
4. D3,456
   D

Data set A: 8, 11, 12, 15, 21, 27
Data set B: 9, 12, 13, 16, 22, h
Data sets A and B each consist of 6 values as shown, where h is a constant. If the standard deviation of data set A is greater than the standard deviation of data set B, which of the following could be the value of h?
I. 23
II. 28
III. 29

1. AI only
   A
2. BII only
   B
3. CIII only
   C
4. DII or III
   D

The function f is defined by f(x)=(x -9)(x - 6)(x - 5). In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 4 units. What is the value of g(0)?

At a depth of h meters below the surface, the estimated total pressure P1, in kilopascals (kPa), a diver experienced is given by P1 =10h ＋101, which is a combination of estimated water pressure and estimated atmospheric pressure. After maintaining a certain depth, the diver descended d additional meters. The estimated total pressure P2, in kPa, the diver experienced after descending these d additional meters is given by P2 = 10d ＋311. Which of the following is the best interpretation of 311 in this context?

1. AThe estimated total pressure, in kPa, the diver experienced at a depth of d meters
   A
2. BThe estimated increase in the total pressure, in kPa, the diver experienced for each increase in the depth by 1 meter
   B
3. CThe estimated increase in the total pressure, in kPa, the diver experienced for each increase in the depth by d meters
   C
4. DThe estimated total pressure, in kPa, the diver experienced when the diver began to descend d additional meters
   D

A circle has diameters AC and BD . The circumference of the circle is 84π, and the length of arc DA is 2 times the length of arc AB. What is the length of arc BC?

1. A2π
   A
2. B14π
   B
3. C21π
   C
4. D28π
   D

In triangle XYZ, angle Y is a right angle, the measure of angle Z is 39 ° , and the length of YZ is 22 units. If the area, in square units, of triangle XYZ can be represented by the expression k tan 39 ° , where k is a constant, what is the value of k?

In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of sin(R) is (3√17)/13 . What is the value of cos(S)?

1. A(4√17)/51
   A
2. B(3√17)/13
   B
3. C(13√17)/51
   C
4. D(3√17)/4
   D

The composition of an animal is defined as the muscles, bones,and fat of the animal. A scientist studied the composition of one young swamp buffalo and determined the buffalo had 133 kilograms of muscle, which made up approximately 65.9% of its composition. Of the remaining composition of this buffalo, approximately 46.2% was bone, and the remainder was fat. Based on these approximations, to the nearest tenth, how many kilograms of this buffalo's composition was bone?

Which of the following expressions has a factor of x ＋ 2b, where b is a positive integer constant?

1. A3x2 + 9x + 18b
   A
2. B3x2 + 24x + 18b
   B
3. C3x2 + 30x + 18b
   C
4. D3x2 + 39x + 18b
   D

31( x - n) = 31y +31n
One of the equations in a system of two linear equations is given, where n is a positive constant.The system has no solution. Which equation could be the second equation in this system?

1. A3x - 3y = 6n
   A
2. B3x + 3y = 3n
   B
3. C3x + 3y = 6n
   C
4. D3x - 3y = 3n
   D

The cost of renting a piece of equipment is $64n for the first day and $32n for each additional day, where n is a positive integer Which of the following functions gives the cost C(x), in dollars, of renting this equipment for x days, where x is a positive integer?

1. AC(x) = 32nx + 32n
   A
2. BC(x) = 32nx + 64n
   B
3. CC(x) = 64nx + 32n
   C
4. DC(x) = 64nx - 32n
   D

In triangle ABC and triangle DEF, sides AB and DE each have a side length of 6 inches, and angles A and D each have an angle measure or 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. Al is sufficient, but II and III are not.
   A
2. BIl is sufficient, but I and III are not.
   B
3. CIII is sufficient, but I and II are not.
   C
4. DIl is sufficient and IIl is sufficient, but I is not.
   D