Line r in the xy-plane has a slope of 8 and passes through the point (0, 11). Which equation defines line r?

1. Ay=-11x+8
   A
2. By=11x+8
   B
3. Cy=8x-11
   C
4. Dy=8x+11
   D

The y-intercept of the graph of y=x^2+18in the xy-plane is (0, y). What is the value of y?

A large square has an area of 1,296 square centimeters (cm²). Small squares of area 36 cm² are cut out of the large square one by one. Which function f gives the area of the resulting figure, in cm², after x small squares are cut out?

1. Af(x)=1,296-36x
   A
2. Bf(x)=1,332x
   B
3. Cf(x)=1,296x-6
   C
4. Df(x)=1,290x
   D

How many solutions does the equation 7x+5=7x+8 have?

1. AInfinitely many
   A
2. BExactly two
   B
3. CExactly one
   C
4. DZero
   D

h(x)=x+b
For the linear function h, b is a constant and h(0) = 21. What is the value of b?

The function g is defined by g(x)=2x-148. For what value of x does g(x) = 78?

The Mars Perseverance rover is a robot designed to collect samples of rock and soil. During an experiment, the rover moves at a constant speed on a straight path toward a designated target. The equation y=500-145x gives the rover's remaining distance from its target y, in meters, x hours after the start of the experiment. What is the best interpretation of 500 in this context?

1. AThe number of hours it takes the rover to reach its target
   A
2. BThe rover's speed, in meters per hour, during the experiment
   B
3. CThe rover's distance, in meters, from its target at the start of the experiment
   C
4. DThe total distance, in meters, the rover travels in 1 hour
   D

A biologist is designing a study to observe the behavior of male and female amethyst-throated hummingbirds. According to the study's design, at least 91 hummingbirds will be observed, and the positive difference between the number of males, x, and the number females, y, will not exceed 8. Which of the following systems of inequalities represents this situation?

1. Ax+y≥91
   |x-y|≤8
   A
2. Bx+y≥91
   x-y≤8
   B
3. Cx+y≤91
   x-y≤8
   C
4. Dx+y≤91
   |x-y|≤8
   D

The graph of a polynomial function y=f(x) in the xy-plane passes through the point (3, 5). What is the value of f(3)?

1. A3
   A
2. B5
   B
3. C8
   C
4. D15
   D

A district school board in a certain state is proposing a change to the length of lunch periods for all high schools in the district. A sample of 365 high school students was selected at random from all high school students in the district. The selected students were asked whether they approved of the proposed change, and 211 students responded that they did not approve. Which of the following is the largest population to which the results of the survey can be generalized?

1. AAll high school students in the district
   A
2. BThe 365 students who were surveyed
   B
3. CAll high school students in the state
   C
4. DThe 211 students who responded that they did not approve of the proposed change
   D

A company that produces only one type of item wants to estimate the percent of the items produced in a typical week that are defective. A random sample of 540 of the items produced in a certain week were tested. Based on the sample, it is estimated that 12.5% of all items produced by the company in this week are defective, with an associated margin of error of 2.79%. Based on the estimate and associated margin of error, which of the following is the most appropriate conclusion about all items produced by the company during this week?

1. A2.79% of the items are defective.
   A
2. BIt is plausible that between 9.71% and 15.29% of the items are defective.
   B
3. C12.5% of the items are defective.
   C
4. DIt is plausible that more than 15.29% of the items are defective.
   D

Which system of linear equations has infinitely many solutions?

1. A6x+12y=12
   x+12y=72
   A
2. Bx+2y=12
   x+12y=72
   B
3. Cx+2y=12
   6x+12y=72
   C
4. D6x+2y=12
   6x+12y=72
   D

x^2+y+7=7
4x+4-y=0
The solution to the given system of equations is (x, y). What is the value of x?

1. A-4
   A
2. B-2
   B
3. C1
   C
4. D4
   D

The equation y=-4.9(x-8.8)^2+11,900 gives the estimated height above ground, y, in meters, of a plane, where x is the number of seconds since it started a parabolic maneuver. If this equation is graphed in the xy-plane, which of the following is the best interpretation of the vertex of the graph?

1. AThe plane reached an estimated maximum height of 11,900 meters 4.9 seconds after it started the parabolic maneuver.
   A
2. BThe plane reached an estimated maximum height of 11,900 meters 8.8 seconds after it started the parabolic maneuver.
   B
3. CThe plane reached an estimated maximum height of 4.9 meters 11,900 seconds after it started the parabolic maneuver.
   C
4. DThe plane reached an estimated maximum height of 8.8 meters 11,900 seconds after it started the parabolic maneuver.
   D

(x-5)^2+(y+3)^2=36
The given equation represents circle P in the xy-plane. Circle Q has a center that is 3 units to the right of and 2 units below the center of circle P. Circle Q has a diameter that is double the diameter of circle P. Which equation represents circle Q?

1. A(x-8)^2+(y+5)^2=144
   A
2. B(x-2)^2+(y+1)^2=144
   B
3. C(x-8)^2+(y+5)^2=72
   C
4. D(x-2)^2+(y+1)^2=72
   D

(x-6)-8(y+2)=131
(x-6)+8(y+2)=438
The solution to the given system of equations is (x, y). What is the value of 10(x-6) ?

On average, a certain tree grows 39 centimeters every m months. At this rate, which expression represents the number of centimeters, on average, the tree grows every k years?

1. A13m/4k
   A
2. B13k/4m
   B
3. C468m/k
   C
4. D468k/m
   D

If 7(x+2)=49 , what is the value of x+2?

1. A5
   A
2. B7
   B
3. C40
   C
4. D42
   D

Which expression is equivalent to √x^197 , where x>0 ?

1. Ax^(197/2)
   A
2. Bx^304
   B
3. Cx^195
   C
4. Dx^(2/197)
   D

The number of bacteria in a liquid medium doubles every day. There are 83,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, y, in the liquid medium t days after the start of the observation?

1. Ay=1/2(83,000)^t
   A
2. By=2(83,000)^t
   B
3. Cy=83,000(1/2)^t
   C
4. Dy=83,000(2)^t
   D

Which expression is equivalent to (9t^4-2t^2+9t-5)-(4t^4-4t^3+5t^2-5)?

1. A5t^4+4t^3-7t^2+9t-10
   A
2. B5t^4+4t^3-7t^2+9t
   B
3. C5t^4+2t^3+14t-10
   C
4. D5t^4+2t^3-4t
   D

b-59=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=(b-59)/y
   A
2. Bx=by-59y
   B
3. Cx=by-59
   C
4. Dx=(by-59)/y
   D

Ari examined a set of 85 plants. The lightest plant had a mass of 2.8 kilograms kg and the heaviest plant had a mass of 6.2 kg. Chihiro examined the same set of 85 plants and also an additional plant with a mass of 11.6 kg. Which of the following must be true about the set of plants that Ari examined and the set of plants that Chihiro examined?

1. AThe standard deviation of the masses, in kg, of the plants that Ari examined is greater than the standard deviation of the masses, in kg, of the plants that Chihiro examined.
   A
2. BThe range of the masses, in kg, of the plants that Ari examined is greater than the range of the masses,in kg, of the plants that Chihiro examined.
   B
3. CThe median of the masses, in kg, of the plants that Ari examined is less than the median of the masses, in kg, of the plants that Chihiro examined.
   C
4. DThe mean of the masses, in kg, of the plants that Ari examined is less than the mean of the masses, in kg, of the plants that Chihiro examined.
   D

A linear model estimates the population of a city from 1992 to 2016. The model estimates the population was 53 thousand in 1992, 224 thousand in 2012, and x thousand in 2016. To the nearest whole number, what is the value of x?

For the polynomial function v, v(2)=3 and v(0)=-13. The graph of y=v(x) in the xy-plane passes through the points (-2,7) and (6,0). Which of the following must be true?

1. AWhen v(x) is divided by (x+13), the remainder is 0.
   A
2. BWhen v(x) is divided by (x+7), the remainder is -2.
   B
3. CWhen v(x) is divided by (x+2), the remainder is 3.
   C
4. DWhen v(x) is divided by (x-6), the remainder is 0.
   D

Triangles ABC and DEF are similar, where A corresponds to D, and B corresponds to E. The measure of angle A is 26°, and AB=4. Which of the following statements must be true?
Ⅰ.The measure of angle D is 26°.
Ⅱ.DE=4

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

A clothing store buys shirts at a wholesale price of 4.00 dollars each and resells them each at a retail price that is 340% of the wholesale price. At the end of the season, any remaining shirts are marked at a discounted price that is 80% off the retail price. What is the discounted price of each remaining shirt, in dollars?

f(x)=6,110(0.18)^(x/12)
The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p% of its value the preceding year, what is the value of p?

1. A2
   A
2. B13
   B
3. C18
   C
4. D82
   D

x^2+5x=37
The solutions to the given equation are (m+√q)/2 and (m-√q)/2 , where m and q are integers. What is the value of m+q ?

In the equation 5x^2+45x+c=0 , c is a constant. If the equation has exactly one real solution, what is the value of c?

1. A0
   A
2. B9/2
   B
3. C50
   C
4. D405/4
   D

p(x)=2x^2+12x+19
What is the minimum value of the given function?

1. A-19
   A
2. B-3
   B
3. C1
   C
4. D19
   D

2x+7y=5
12x+42y=30
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,-2r/7+5/7)
   A
2. B(-2r/7+5/7,r)
   B
3. C(-2r/7+5,2r/7+30)
   C
4. D(r/6+5,-r/6+30)
   D

The length of each edge of a box is 79 centimeters. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square meters, of this box without a lid? (1 meter = 100 centimeters)

Circle Fin the xy-plane is represented by the equation (x-13)^2+(y-9)^2=196. Circle G is obtained by shifting circle F5 units to the left and 11 units up. An equation representing circle G is (x+h)^2+(y+k)^2=196, where h and k are constants. What is the value of h+k ?

√k-x=39-x
In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?

The functions f and g are defined by the given equations, where x≥0. Which of the following equations displays, as a constant or coefficient, the maximum value of the function it defines, where x≥0?
Ⅰ.f(x)=19(1.27)^x+43
Ⅱ.g(x)=8(0.77)^x

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

An object's speed is increasing at a rate of 4.9 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. A0.2
   A
2. B11
   B
3. C131.4
   C
4. D328.4
   D