A number x is at least twice the value of a number y. If the value of y is 65, which inequality represents the possible values of x?

1. Ax ≥ 63
   A
2. Bx ≥ 67
   B
3. Cx ≥ 130
   C
4. Dx ≥ 132
   D

9m = 8(n + p )
The given equation relates the positive numbers m, n, and p. Which equation correctly gives m in terms of n and p?

1. Am =(8(n+p))/9
   A
2. Bm = 8(n + p )
   B
3. Cm = 8(n + p ) - 9
   C
4. Dm = 8 - n - p - 9
   D

If 4x - 28=-12, what is the value of x - 7?

1. A-25
   A
2. B-12
   B
3. C-4
   C
4. D-3
   D

A line segment that has a length of 118 centimeters (cm) is divided into three parts. One part is 48 cm long.The other two parts have lengths that are equal to each other. What is the length, in cm, of one of the other two parts of equal length?

5x ＋5y = 150
x＋y =2x
lf the solution to the given system of equations is(x, y), which of the following equations is true?

1. A2x = 5
   A
2. B2x = 30
   B
3. C2x = 145
   C
4. D2x = 150
   D

f(x)= 3(x - 2)(x -6)(x -9)
lf the given function f is graphed in the xy-plane, where y = f(x), what is the x-coordinate of an x-intercept of the graph?

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 57 worker ants, which of the following is closest to the predicted number of larvae in the colony?

1. A186
   A
2. B81
   B
3. C60
   C
4. D41
   D

If x=sqrt(2x^n+35)x^n=√2x^n+35 , where n is a positive integer constant, what is the value of xn?

y = x2 + 18x + 8
y = x + 8
The graphs of the equations in the given system intersect at the point(x, y) in the xy-plane. What is a possible value of x?

1. A14
   A
2. B10
   B
3. C-14
   C
4. D-17
   D

A circle in the xy-plane has its center at(-4, 2) and the point(-8, 5) lies on the circle. Which equation represents this circle?

1. A( x - 4 )2+( y + 2)2 = 5
   A
2. B( x + 4 )2+( y - 2)2 = 5
   B
3. C( x - 4 )2+( y + 2)2 = 25
   C
4. D( x + 4 )2+( y - 2)2 = 25
   D

In the xy-plane, line p has a slope of 5/3 and an x-intercept of(9,0). what is the y-coordinate of the y-intercept of line p?

In 2018,approximately 40,000 kilowatts of solar power capacity was newly installed in a certain area in the United States.In 2019, the amount of newly installed solar power capacity in this area increased by 11% from the amount of newly installed solar power capacity in 2018.If the amount of newly installed solar power capacity continues to increase each year by 11% of the previous year's newly installed solar power capacity, which of the following types of functions best describes how the amount of newly installed solar power capacity changes over time?

1. AIncreasing linear
   A
2. BDecreasing linear
   B
3. CIncreasing exponential
   C
4. DDecreasing exponential
   D

An object is launched into the air from ground level.According to a quadratic model,3.8 seconds after the object is launched, it reaches its maximum height of 231.04 feet above ground level. Which equation represents this model, where f(t) is the object's height, in feet, above ground level t seconds after it was launched?

1. Af(t) = -16(t -3.8)2 + 231.04
   A
2. Bf(t) = 16(t +3.8)2 + 231.04
   B
3. Cf(t) = -16(t +3.8)2 + 231.04
   C
4. Df(t) = 16(t - 3.8)2 + 231.04
   D

7x - 56y = 14
One of the two equations in a system of linear equations is given.The system has no solution. Which equation could be the second equation in this system?

1. A1/2x-4y=1
   A
2. Bx - 8y = 2
   B
3. C1/2x-4y=0
   C
4. Dx - 14y = 0
   D

f(x) =7,000(1.003)2x
The given function f models the balance of a bank account, in dollars, x years after it is opened. which statement is the best interpretation of (1.003)2x?

1. AEvery 6 months, the balance increases by about $3.
   A
2. BEvery 2 years, the balance increases by about $3.
   B
3. CAt the end of every 6-month interval, the balance increases by about 0.3% of the balance at the beginning of the 6-month interval.
   C
4. DAt the end of every 2-year interval, the balance increases by about 0.3% of the balance at the beginning of the 2-year interval.
   D

W(x)=5x+ 90
The function W gives the total time, in minutes, it takes for a gardener to water x plants and mow the grass. According to the function, how long does it take thegardener to mow the grass, in minutes?

1. A5
   A
2. B18
   B
3. C90
   C
4. D450
   D

If 310% of n is 62, what is the value of n?

1. A19,220
   A
2. B1,922
   B
3. C500
   C
4. D20
   D

For the linear function f, the graph of y = f(x) in the xy-plane has a slope of 0 and passes through the point (0, 25). Which equation defines f?

1. Af(x) = x + 25
   A
2. Bf(x) = 25x
   B
3. Cf(x) = 0
   C
4. Df(x) = 25
   D

The amount of money owed on a certain type of loan has two components: the principal balance of the loan and the amount of interest accrued on the loan. For a loan of this type, each payment was $298.00 and there were 60 payments total. Part of each payment was applied to the principal balance of the loan, and the rest was applied to the amount of interest accrued on the loan. The amount of the 1st payment that was applied to the principal balance was $220.93.For each additional payment, the amount that was applied to the principal balance was approximately 0.5% greater than the amount that was applied tothe principal balance for the previous payment. Which function best approximates the amount of the x th payment, in dollars, that was applied to the amount of interest accrued,where x ≤ 60?

1. Af(x) = 298.00 - 220.93(1.005)x -1
   A
2. Bf(x) = 298.00 - 220.93(1.005)x
   B
3. Cf(x) = (298.00 - 220.93)(0.995)x -1
   C
4. Df(x) = (298.00 - 220.93)(0.995)x
   D

lf a = 4k＋7r and b = 9k - 11r＋5, which expression is equivalent to a - b ?

1. A-5k + 18r＋5
   A
2. B-5k + 18r - 5
   B
3. C-5k - 4r - 5
   C
4. D-5k - 4r + 5
   D

16(x＋4) =2(x + c ) +14x
In the given equation, c is a constant.The equation has infinitely many solutions. What is the value of c?

1. A4
   A
2. B8
   B
3. C32
   C
4. D64
   D

Which quadratic equation has exactly one distinct real solution?

1. Ax2 -18 = 0
   A
2. Bx2 +18 = 0
   B
3. Cx2 -18x + 72= 0
   C
4. Dx2 -18x + 81= 0
   D

p(x) = 9(2)^(x/4)+9
What is the y-intercept of the graph of y = p(x) in the xy-plane?

1. A(0, 18)
   A
2. B(0, 27)
   B
3. C(0, 11)
   C
4. D(0, 9)
   D

Data set A: 24,34,44,54,64
Data set A, which consists of the 5 values shown, has a mean of 44 and a standard deviation of approximately 14.10. Data set B consists of the 5 values from data set A and one additional value,k. For which of the following values of k will the standard deviation of data set B be less than the standard deviation of data set A?

1. A14
   A
2. B49
   B
3. C74
   C
4. DThere is no value of k such that the standard deviation of data set B will be less than the standard deviation of data set A.
   D

A right square pyramid has a surface area of 75,264 square inches. which includes a base area of 36,864 square inches. What is the slant height, in inches. of this pyramid?

The function f is defined by f(x)= ax + b, where a and b are constants and a > 0. In the xy-plane, the graph of y = f(x) has a y-intercept at (0, −26) and passes through the point (2, 9). What is the value of a + b?

A company developed a plan to set the selling price of a product. The company determinedthat for a selling price of $150.00, zero products would be sold.For each $2.50 decrease inthe selling price, the number of products sold would increase by one.For a revenue ofexactly $2,187.50, which of the following could be the number of products sold? (revenue = price × number of products sold)

1. A25
   A
2. B30
   B
3. C815
   C
4. D2,250
   D

56(x3+64)(x4 -81) = 0
How many distinct real solutions does the given equation have?

1. AExactly two
   A
2. BExactly three
   B
3. CExactly five
   C
4. DExactly seven
   D

As the size of a firework's shell increases, the height above the ground when the firework bursts increases.For a firework to burst 1,075 feet above the ground, a firework's shell in the shape of a sphere with a volume of 514.23 cubic inches could be used. To the nearest whole number, what is the volume of this firework's shell in cubic centimeters? ( 1 inch = 2.54 centimeters)

-9x(x＋9) = 90
One solution to the given equation can be written as x=-(s+√t)/2 , where s and t are positiveintegers. What is the value of s/t ?

44x2 + (44b + a)x + ab = 0
In the given equation, a and b are positive constants. The product of the solutions to the given equation is kab , where k is a constant. What is the value of k?

1. A1/44
   A
2. B1/11
   B
3. C1
   C
4. D44
   D
5. A1/44
   A
6. B1/11
   B
7. C1
   C
8. D44
   D

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 52 square centimeters (cm2), and the surface area of right rectangular prism Y is 3,328 cm2. The volume of right rectangular prism X is 10.5 cubic centimeters (cm3). What is the volume, in cm3 , of right rectangular prism Y?

38z18+bz9+30
In the given expression, b is a positive integer. If qz9+ r is a factor of the expression, where q and r are positive integers, what is the greatest possible value of b?

The cost of renting a piece of equipment is $46n for the first day and $23n 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) = 23nx + 23n
   A
2. BC(x) = 23nx + 46n
   B
3. CC(x) = 46nx + 23n
   C
4. DC(x) = 46nx - 23n
   D