Line q in the xy-plane has a slope of 1/7 and passes through the point (0, 60). Which equation defines line q?

1. Ay=1/7x-60
   A
2. By=1/7x-53
   B
3. Cy=1/7x+53
   C
4. Dy=1/7x+60
   D

The function g is defined by g (x)=-7x + 80. What is the value of g (x) when x = -2?

1. A78/7
   A
2. B78/7
   B
3. C78/7
   C
4. D78/7
   D

Each face of a fair 12-sided die is labeled with a number from 1 through 12, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 2?

1. A1/12
   A
2. B2/12
   B
3. C10/12
   C
4. D11/12
   D

6x +28 =6x +k
In the given equation, k is a constant. The equation has infinitely many solutions. What is the value of k?

Jasmin grows bean pods in her garden. This year, she harvested 490 bean pods and saved 10% of them to plant next year. How many of the harvested bean pods did Jasmin save to plant next year?

1. A39
   A
2. B49
   B
3. C57
   C
4. D59
   D

A triathlon is a multisport race consisting of three different consecutive events. A triathlon participant plans to complete the cycling event with an average speed of 19,008 yards per hour. What is this average speed, in miles per hour? (1 mile =1,760 yards)

Dan bought some apples and oranges. The apples cost $0.79 per pound, and the oranges cost $0.99 per pound. If Dan spent $24.93 in total and bought twice as many pounds of oranges as pounds of apples, how many pounds of oranges did Dan buy?

1. A9
   A
2. B9.5
   B
3. C18
   C
4. D22.16
   D

Triangle R has an area of 80 square centimeters (cm²). Square S has side lengths of 4 cm. What is the total area of triangle R and square S, in cm²?

1. A42
   A
2. B44
   B
3. C84
   C
4. D96
   D

y=3x+4
y=2x+9
The solution to the given system of equations is (x, y). What is the value of x?

1. A4
   A
2. B5
   B
3. C9
   C
4. D13
   D

A rectangle has a length that is 24 times its width. The function y=(24w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y > 0. Which of thefollowing is the best interpretation of 24w in this context?

1. AThe length of the rectangle, in feet
   A
2. BThe area of the rectangle, in square feet
   B
3. CThe difference between the length and the width of the rectangle, in feet
   C
4. DThe width of the rectangle, in feet
   D

f(x)=1,300(0.5)^(x/14)
The function f models the intensity of a beam, f (x), in number of photons in the beam, x millimeters below the surface of a certain material. According to the model, what is the number of photons in the beam when it is at the surface of the material?

1. A2
   A
2. B13
   B
3. C14
   C
4. D1,300
   D

The gas mileage of a certain car is 22 miles per gallon when driven on the highway. If the car begins with 8 gallons of gas in the tank, which function predicts the amount of gas remaining in the tank, f (d), after the car is driven d miles on the highway?

1. Af(d)=d/22-8
   A
2. Bf(d)=d-8
   B
3. Cf(d)=8-d/22 f(d)=d/22-8
   C
4. Df(d)=8- d
   D

In triangle DEF, the measure of angle D is 46° and the measure of angle E is 104°. In triangle RST, the measure of angle R is 46° and the measure of angle S is 104°. Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST?

1. AThe measure of angle F
   A
2. BThe measure of angle T
   B
3. CThe measure of angle F and the measure of angle T
   C
4. DNo additional information is needed.
   D

What is the slope of the graph of y=1/5(19x+19)+7x in the xy-plane?

y= -4x-2
One of the two equations in a system of linear equations is given. The system has no solution. Which of the following could be the second equation in this system?

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

A linear model estimates the population of a city from 1992 to 2016. The model estimates the population was 61 thousand in 1992, 217 thousand in 2012, and x thousand in 2016. To the nearest whole number what is the value of x?

y=-1.5
y=x^2+4x+a
In the given system of equations, a is a positive integer constant. The systemhas no real solutions. What is the least possible value of a?

(x+13)^2+26(x+13)+169=0
How many distinct real solutions does the given equation have?

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

(x+3)^2+(y-19)^2=144
The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a?

1. A-16
   A
2. B-13
   B
3. C12
   C
4. D19
   D

f(x)=8(7)^x
The function f is defined by the given equation. If g(x)= f ( x + 2), which of the following equations defines the function g?

1. Ag(x)=16(7)^x
   A
2. Bg(x)=392(7)^x
   B
3. Cg(x)=16(14)^x
   C
4. Dg(x)=64(49)^x
   D

Which expression is equivalent to (7nr^2+2nr)+(5n^2r+4nr) )?

1. A12n^2r^2+6nr
   A
2. B12n^3r^3+6n^2r^2
   B
3. C35n^3r^3+8n^2r^2
   C
4. D7nr^2+5n^2r+6nr
   D

v=-w/123x
The given equation relates the distinct positive numbers v, w, and x. Which equation correctly expresses w in terms of v and x?

1. Aw=-123vx
   A
2. Bw=-123v/x
   B
3. Cw=-x/123v
   C
4. Dw=v+123x
   D

-3x+6rx=54
In the given equation, r is a constant. The equation has no solution. What is the value of r?

1. A1/9
   A
2. B1/2
   B
3. C2
   C
4. D9
   D

A real estate company offers a series of three webinars. 3,750 people attended the first webinar. 54% of the people who attended the first webinar attended the second webinar, and 36% of the people who attended the first and second webinars attended the third webinar How many people attended all three webinars?

The function f is defined by f (x)= | x - 6x |. What value of a satisfies f (2) - f (a)= -30?

1. A-32
   A
2. B6
   B
3. C8
   C
4. D150
   D

If -7(13- 5x) + 3= -8(13- 5x) + 25, what is the value of 13-5x?

The minimum value of x is 4 less than 8 times another number n. Which inequality shows the possible values of x?

1. Ax≤8n-4
   A
2. Bx≥8n-4
   B
3. Cx≤4-8n
   C
4. Dx≥4-8n
   D

At a constant temperature, a scuba diver combines two different concentrations of nitrox mix (oxygen-nitrogen gas mixture) to fill a tank to a total pressure of 90 atmospheres (atm), of which 37% is contributed by oxygen. Nitrox mix A contributes x atm of pressure to the tank, of which 22% is contributed by oxygen. Nitrox mix B contributes y atm of pressure to the tank, of which 49% is contributed by oxygen. Which system of equations represents this situation?

1. Ax+y=90
   0.22x+0.49y=0.37(90)
   A
2. Bx+y=90
   0.49x+0.22y=0.37(90)
   B
3. Cx+y=0.37(90)
   0.22x+0.49y=90
   C
4. Dx+y=0.37(90)
   0.49x+0.22y=90
   D

A certain town has an area of 3.51 square miles. What is the area, in square yards, of this town?(1 mile = 1,760 yards)

1. A501
   A
2. B6,178
   B
3. C882,507
   C
4. D10,872,576
   D

The function f gives the product of a number, x, and a number that is 7 more than x. Which equation defines f?

1. Af(x)=x^2+x+7
   A
2. Bf(x)=x^2+7
   B
3. Cf(x)=x^2+7x
   C
4. Df(x)=x^2+7x+7
   D

The functionf(x)=1/8(x-6)^2+4 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 4 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 4 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

One of the factors of 5x^3+105x^2+540xis x+b, where b is a positive constant. What is the smallest possible value of b?

Kenny engages in up to 3 types of exercise each week for a total of 6 hours while training for a triathlon. Kenny swims for the same number of minutes each week. The equation y=360-x-170 represents the situation where Kenny bikes for x minutes during a week and runs for any remaining training time y, in minutes. If this equation is graphed in the xy-plane, which statement is the best interpretation of the x-intercept of the graph?

1. ADuring a week when Kenny doesn't run, he bikes for 190 minutes.
   A
2. BDuring a week when Kenny doesn't bike, he runs for 190 minutes.
   B
3. CEach week, Kenny bikes and runs for a total of 190 minutes.
   C
4. DDuring a week when Kenny swims for 190 minutes, he bikes for 170 minutes.
   D

Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (9x - 110)°. Which of the following could NOT be the sum of the measures of any two of these angles?

1. A(-18x + 220)°
   A
2. B(-18x+580)°
   B
3. C(18x-220)°
   C
4. D180°
   D

5/8(5x+8)(x+√5k+8)(x-√5k+8) =0
In the given equation, k is a positive constant. The product of the solutions to the equation is 64. what is the value of k?

Each of the following frequency tables represents a data set. Which of these frequency tables represents the data set with the smallest standard deviation?

1. A
   
   A
2. B
   
   B
3. C
   
   C
4. D
   
   D

Function f is a quadratic function. The graph of y = f (x) in the xy-plane has a vertex at (-5, -8), contains the point (-6, -10), and has a y-intercept at (0, a).The graph of y = 6 · f (x) has a y-intercept at (0, b). what is the positive difference between a and b?