To make a bookcase, a woodworker charged a onetime fee plus $17 per hour worked. The equation 17h + 45 = 164 represents this situation, where h is the number of hours worked. Which of the following is the best interpretation of 164 in this context?

1. AThe onetime fee, in dollars
   A
2. BThe number of hours worked
   B
3. CThe charge per hour, in dollars
   C
4. DThe total charge, in dollars
   D

In December 2017, the lowest temperature recorded in a certain city was 40 degrees Fahrenheit (°F) and the highest temperature recorded was 90°F. Which inequality is true for all values of t, where t represents any temperature, in °F, recorded in the city in December 2017?

1. A40≤ t≤90
   A
2. Bt≤40
   B
3. Ct≤50
   C
4. Dt≥ 90
   D

The function f is defined by f(x) = 6(2x +4). For what value of x does f (x) = 48?

1. A2
   A
2. B6
   B
3. C8
   C
4. D22
   D

The ratio of green tiles to blue tiles in a piece of artwork is 5 to 2. If there are 16 blue tiles in the piece of artwork, how many green tiles are there?

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

mx+ ky = -83
2x + ky = 22
In the given system of equation, m and k are constants. The graphs of these equations in the xy-plane intersect at the point (5, y). What is the value of m ?

For the linear function f, the graph of y = f(x) in the xy-plane passes through the point (0, 2) and (3, 3). What is the slope of y = f(x) ?

A certain book has 250 pages, and 21 of these pages have an illustration. If one of the book's pages is selected at random, what is the probability of selecting a page with an illustration? (Express your answer as a decimal or fraction, not as a percent.)

b2 +5c =9d
The given equation relates the real numbers b, c, and d, where d >5/9c. Which equation correctly express b in terms of c and d ?

1. Ab =(9d+5c)/2
   A
2. Bb =(9d-5c)/2
   B
3. Cb =±√9d+5c
   C
4. Db =±√9d-5c
   D

A right circular cylinder has a height of 4 meters (m) and a base with a radius of 18 m. What is the volume, in m3,of the cylinder?

1. A4π
   A
2. B22π
   B
3. C288π
   C
4. D1,296π
   D

What is the y-intercept of the graph of 3x + 2y = 96 in the xy-plane?

1. A(0 , 5)
   A
2. B(0 , 6)
   B
3. C(0 , 32)
   C
4. D(0 , 48)
   D

If 6/7p + 12 = 54, what is the value of 7p?

A certain neighborhood had a population of 1,340 in 2009. Each year for the next 5 years, the population of the neighborhood increased by approximately 3% of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 2009, where t ≤ 5?

1. AN =0.03(1,340)t
   A
2. BN =1,340(0.03)t
   B
3. CN =1,340(1.03)t
   C
4. DN =1.03(1,340)t
   D

In the xy-plane, which of the following does NOT contain any points (x,y) that are solutions to 7x +4y >12?

1. AThe region where x > 0 and y > 0
   A
2. BThe region where x < 0 and y > 0
   B
3. CThe region where x < 0 and y < 0
   C
4. DThe region where x > 0 and y < 0
   D

In triangle RST, the measure of angle R is 10 degrees and the measure of angle T is 50 degrees. Point L lies on RS ，point K lies on ST and LKis parallel to RT．What is the measure, in degree, of angle SKL? (Disregard the degree symbol when entering your answer.)

An auditorium has seats for 3,200 people. Tickets to attend a show at the auditorium currently cost $8.00. For each $1.00 increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation y = -100x2 +2,400x+25,600, where x represents the increase in ticket price, in dollars, and y represents the revenue, in dollars, from ticket sales. If this equation is graphed in the xy-plane, at what value of x is the maximum of the graph?

1. A8
   A
2. B12
   B
3. C24
   C
4. D32
   D

(x +3)2 +(y -4)2 =25
In the xy-plane, the graph of the given equation is circle. Which point lies on this circle?

1. A(-3,4)
   A
2. B(3, -4)
   B
3. C(√11+3,√14-4)
   C
4. D(√11-3,√14+4)
   D

The expression (x^20(x-4))/(5x^2)+(4x^20)/(5x^2) is equivalent to 1/5x^c , where c is a constant and x > 0. What is the value of c ?

1. A4
   A
2. B5
   B
3. C19
   C
4. D21
   D

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C and F are right angles. The length of AB is 2.4 times the length of DE. If tanA= 21/20 , what is the value of sinD ?

The speed of a white-throated needletail, a type of bird, in flight was measured to be 49 miles per hour. What was the white-throated needletail's measured speed, in kilometers per hour? (Use 1 mile = 1.6 kilometers.)

1. A30.6
   A
2. B47.4
   B
3. C50.6
   C
4. D78.4
   D

Which expression is equivalent to (3x 3 -x 2 +4)(5x 2 +8x)?

1. A15x5 +19x4 -8x3 -20x+32
   A
2. B15x5 +19x4 -8x3 -20x2+32
   B
3. C15x5 +19x4 -8x3 +20x2+32x
   C
4. D15x5 +29x4 -8x3 -20x2+32x
   D

If 5(x + 1) = 25, what is the value of x + 1?

1. A4
   A
2. B5
   B
3. C19
   C
4. D20
   D

If (x +3)2 = 30, what is the value of x 2 +6x ?

1. A21
   A
2. B30
   B
3. C39
   C
4. D60
   D

y = 5x
y = 2x+ 2
How many solutions does the given system of equations have?

1. AExactly one
   A
2. BExactly two
   B
3. CInfinitely many
   C
4. DZero
   D

f (x) = | 71 - 2x |
The function f is defined by the given equation. For which of the following values of k does f(k) = 3k ?

1. A71/5
   A
2. B71/2
   B
3. C213/5
   C
4. D71
   D

g(x) = 2(16x -17)
What is the y-coordinate of the y-intercept of the graph of y = g(x) - 3 in the xy-plane?

1. A-37
   A
2. B-34
   B
3. C-20
   C
4. D-17
   D

18x2 +24x +c = 0
In the given equation, c is a constant. The equation has exactly one solution. What is the value of c ?

(x - 3) - 8(y + 9) = 129
(x - 3) + 8(y + 9) = 432
The solution to the given system of equations is (x, y). What is the value of 8(x - 3) ?

The volume of a right rectangular prism with a square base is 2,448 cubic centimeters. If the area of the square base is 144 square centimeters, what is the area, in square centimeters, of one of the four lateral faces of the prism?

1. A17
   A
2. B204
   B
3. C540
   C
4. D816
   D

y =5(x -2)2
y =10(x -2)
A solution to the given system of equations is (x, y). What is one possible value of x + y ?

1. A-20
   A
2. B4
   B
3. C20
   C
4. D24
   D

The graph of the quadratic function y = f(x) in the xy-plane intersects the x-axis when x = 39 and when x = p, where p is a constant. The maximum value of y = f(x) occurs at the point (14, m), where m is a constant. What is the value of p ?

(x+1)/(5x^2)=k/x
In the given equation, k is a constant. The solution to the given equation is 1/174 . What is the value of k?

The area of a triangle is equal to x2 square centimeters. The length of the base of the triangle is 2x + 6 centimeters, and the height of the triangle is x - 2 centimeters. What is the value of x ?

The function g is a quadratic function. In the xy-plane, the graph of y = g(x) has a vertex at (-1, -4) and passes through the points (-2, -43) and (1, -160). What is the value of g(0) - g(2)?

1. A-121
   A
2. B0
   B
3. C117
   C
4. D312
   D

Triangle ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 62 °. What is the measure of angle F ?

1. A28°
   A
2. B62°
   B
3. C90°
   C
4. D118°
   D

A business consultant charge $408 for the first hour and $204 for each additional hour of work. Which of the following functions gives the charge C(h), in dollars, for h hours of work, where h is a positive integer?

1. AC(h) = 204h +204
   A
2. BC(h) = 204h +408
   B
3. CC(h) = 408h +204
   C
4. DC(h) = 408h +612
   D

An acceptable noise criterion rating for the background noise in a laundry room is 50. For a noise criterion rating of 50, the equation y = 22(0.997)x-60 + 47 gives the estimated sound pressure level, y, in decibels, as a function of the octave band center frequency, x, in hertz, where x ≥ 60 . Which of the following is the best interpretation of 47 in this context?

1. A47 is 22 less than the estimated sound pressure level, in decibels, at an octave band center frequency of 60 hertz.
   A
2. B47 is 22 less than the estimated sound pressure level, in decibels, at an octave band center frequency of 0 hertz.
   B
3. C47 is the estimated sound pressure level, in decibels, at an octave band center frequency of 60 hertz.
   C
4. D47 is the estimated sound pressure level, in decibels, at an octave band center frequency of 0 hertz.
   D

3x +5y= 8
9x + 15y = 24
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,-5r/3+8/3)
   A
2. B(r,3r/5+8/5)
   B
3. C(-5r/3+8/3,r)
   C
4. D(r/3+8,-r/3+24)
   D