In triangle ABC, the measure of angle A is 42° and the measure of angle B is 90 °. What is the measure, in degrees, of angle C?

1. A42
   A
2. B48
   B
3. C90
   C
4. D180
   D

The function b is defined by b(x) = 2(x+1). Which expression is equivalent to b(x) when x = 9?

1. A28
   A
2. B29
   B
3. C210
   C
4. D212
   D

For x > 0, the function f is defined as follows:
f(x ) equals 111% of x
Which of the following could describe this function?

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

A certain rectangular flag is produced in several different sizes. The flag is designed so that its length is always 1.46 times its width. Which equation gives the area A, in square feet, of this flag if it has a width of w feet?

1. AA = (1.46w)(w)
   A
2. BA = (1.46/w)(w)
   B
3. CA = (w -1.46)(w)
   C
4. DA = (w +1.46)(w)
   D

One minute after the start of an experiment, the volume of a mixture is 72% of its volume at the start of the experiment. Which expression best represents the volume of the mixture one minute after the start of the experiment, where v is its volume at the start of the experiment?

1. A72v
   A
2. B7.20v
   B
3. C0.72v
   C
4. D0.072v
   D

4x = 12
-3x ＋y = -1
The solution to the given system of equations is (x, y). What is the value of x + y?

1. A-13
   A
2. B-11
   B
3. C11
   C
4. D13
   D

Antwon's hair will grow at a constant rate from a length of 5 inches to a length of 9 inches. The equation 0.4t＋5= 9 describes this situation, where t is the number of months it will take for Antwon's hair to reach a length of 9 inches. Which of the following is the best interpretation of 0.4 in this context?

1. AThe time, in months, it will take Antwon's hair to grow 1 inch
   A
2. BThe time, in months, it will take Antwon's hair to reach a length of 9 inches
   B
3. CThe length, in inches,Antwon's hair will grow each month
   C
4. DThe length, in inches, Antwon's hair will grow in 9 months
   D

78x + 65 = r(6x +5 )
In the given equation, r is a positive integer. If this equation has more than one solution, what is the value of r?

A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters-for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?

1. A111 < h < 160
   A
2. B82 < h < 100
   B
3. C41 < h < 89
   C
4. D11 < h < 89
   D

y = 5x
y = x2 -36
A solution to the given system of equations is (x, y), where x >0. What is the value of x?

Line t in the xy-plane has a slope of 1/9and passes through the point (45,-8). Which equation defines line t?

1. Ay = -13x +1/9
   A
2. By=x/9-13
   B
3. Cy=x/9-8
   C
4. Dy = 45x - 8
   D

For a certain type of rope, the equation y =900ax2, 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 2.75 inches, it has an estimated breaking strength of 9,528.75 pounds. What is the estimated breaking strength, in pounds, of a rope of this type that has a circumference of 3.50 inches?

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

10x/5y=2√w+14
The given equation relates the distinct positive real numbers w , x, and y. Which equation correctly expresses w in terms of x and y ?

1. Aw=√x/y-14
   A
2. Bw=√20x/10y-14
   B
3. Cw=(x/y)^2-14
   C
4. Dw=(20x/10y)^2-14
   D

RS = 320
ST =156
TR = 356
The side lengths of right triangle RST are given. Triangle RST is similar to triangle UVW, where S corresponds to V and T corresponds to W. What is the value of tan W?

1. A39/89
   A
2. B39/80
   B
3. C80/89
   C
4. D80/39
   D

z(w) = (0.819)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. A0.181
   A
2. B0.819
   B
3. C18.1
   C
4. D32.9
   D

-4 |x -9| = -12x
What are all possible solutions to the given equation?

1. A-9/2
   A
2. B9/4
   B
3. C-9/2 and 9/4
   C
4. D9/4 and 9/2
   D

If 2x = 8, what is the value of 10x?

1. A9
   A
2. B13
   B
3. C20
   C
4. D40
   D

The equation 7p +7w = 560 represents the number of purple tiles, p, and the number of white tiles, w, a designer needs to cover a 560- square-inch section of a wall. The designer needs 35 purple tiles for the wall. How many white tiles does she need?

x2= 3,136
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) =541(1.013)x models the population of a certain town each year from 1954 through 1974, where x is the number of years after 1954. Which of the following is the best interpretation of “P (5) is approximately equal to 577” in this context?

1. AThe population of the, town is estimated to be approximately 5 greater in 1959 than in 1954.
   A
2. BThe population of the town is estimated to be approximately 577 in 1959
   B
3. CThe population of the town is estimated to be approximately 5 times greater in 1959 than in 1954.
   C
4. DThe population of the town is estimated to increase by approximately 577 every 5 years between 1954 and 1974.
   D

For a certain rectangular region, the ratio of its length to its width is 20 to 8. If the width of the rectangular region increases by 9 units, how must the length change to maintain this ratio?

1. AIt must increase by 9 units.
   A
2. BIt must decrease by 9 units.
   B
3. CIt must increase by 22.5 units.
   C
4. Dlt must decrease by 22.5 units.
   D

The expression (7x -24)(16x +9) 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 8 times the length of the corresponding side of ABCD. The area of ABCD is 48 square units. What is the area, in square units, of EFGH?

1. A6
   A
2. B64
   B
3. C384
   C
4. D3,072
   D

Data set A: 8, 11, 13 ,16, 21, 26
Data set B: 9, 12, 14, 17, 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. 27
III. 28

1. AI only
   A
2. BIl only
   B
3. CIII only
   C
4. DIl or III
   D
5. AI only
   A
6. BIl only
   B
7. CIII only
   C
8. DIl or III
   D

PC = N(21-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. A(C(N+P))/N
   A
2. BPC/(21-C)
   B
3. C21N/(N+P)
   C
4. D21N/(P+1)
   D

The function f is defined by f(x) = (x -8)(x -5)(x - 4). 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)?

x2 - 4x + y2 -12y -81 = 0
ln 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. A22
   A
2. B44
   B
3. C88
   C
4. D324
   D

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 +461. Which of the following is the best interpretation of 461 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 168π, and the length of arc DA is 3 times the length of arc AB. What is the length of arc BC?

1. A3π
   A
2. B21π
   B
3. C28π
   C
4. D63π
   D

In triangle XYZ, angle Y is a right angle, the measure of angle Z is 31 °, and the length of YZ is 24 units. If the area, in square units, of triangle XYZ can be represented by the expression k tan 31°, where k is a constant, what is the value of k?

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 120.2 kilograms of muscle, which made up approximately 68.3% of its composition. Of the remaining composition of this buffalo, approximately 53.9% 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. A2x2 +5x ＋10b
   A
2. B2x2 +15x ＋10b
   B
3. C2x2 +20x ＋10b
   C
4. D2x2 +25x ＋10b
   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 $78n for the first day and $39n 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) = 39nx + 39n
   A
2. BC(x) = 39nx + 78n
   B
3. CC(x) =78nx + 39n
   C
4. DC(x) =78nx - 39n
   D

In triangle ABC and triangle DEF, sides AB and DE each have a side length of 5 inches, and angles A and D each have an angle measure of 20°. 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 lII are not.
   B
3. CIII is sufficient, but I and lI are not.
   C
4. DlI is sufficient and III is sufficient, but I is not.
   D