If 3x+4=10, what is the value of 9x-4 ?

The function f is defined by f (x)=2x^2-5x . What is thevalue of f (8) ?

Line q in the xy-plane has a slope of -9 and passesthrough the point (0, 14). Which equation defines line q?

1. Ay=-9x+14
   A
2. By=9x+14
   B
3. Cy=14x-9
   C
4. Dy=14x+9
   D

For a 2-week period in a town in Iowa, the lowest recorded temperature was 26 degrees Fahrenheit (°F) and the highest recorded temperature was 63°F. Which inequality is true for any recorded temperature t, in °F, in this town for this 2-week period?

1. At≤26
   A
2. B26≤t≤63
   B
3. Ct≥63
   C
4. Dt≥ 89
   D

j/4=k+13m
The given equation relates the distinct positive numbers j, k, and m. Which equation correctly expresses j in terms of k and m?

1. Aj=k+4(13m)
   A
2. Bj= 4(k+13m)
   B
3. Cj= 4k+13m
   C
4. Dj=(k+13m)/4
   D

A student council group is selling car stickers for a fundraiser. They use the function p(x)=5x-190 to determine their profit p(x) , in dollars, for selling x car stickers. In order to earn a profit of $600, how many car stickers must they sell?

A batch of smoothies consists of 4 cups of milk and 2 bananas and has 1,226 milligrams(mg) of calcium. There is 304 mg of calcium in 1 cup of milk. How much calcium, in mg, is in 1 banana?

1. A5
   A
2. B10
   B
3. C461
   C
4. D1216
   D

f(x)=7,000(0.90)^x
A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species' population x years after 2008, where x ≤ 8. Which of the following is the best interpretation of 7,000 in this context?

1. AThe estimated initial insect population for this species and area in 2008
   A
2. BThe estimated insect population for this species and area 8 years after 2008
   B
3. CThe estimated percent decrease in the insect population for this species and area each year after 2008
   C
4. DThe estimated percent decrease in the insect population for this species and area every 8years after 2008
   D

Which of the following expressions is equivalent to12x^10-12x^9+120x ?

1. Ax(11x^10-11x^9+119x)
   A
2. Bx(12x^10-12x^9+120)
   B
3. C12x(x^10-x^9+10x)
   C
4. D12x(x^9-x^8+10)
   D

The measure of angle F is 7π/4 radians. What is the value of cos(F) ?

1. A-(√2)/2
   A
2. B-1/2
   B
3. C(√2)/2
   C
4. D(√3)/2
   D

Line k has a slope of 6 and a y-intercept of (0, 60). What is the x-coordinate of the x -intercept of line k?

A hemisphere is half of a sphere. If a hemisphere has a radius of 56 inches, which of the following is closest to the volume, in cubic inches, of this hemisphere?

1. A6,600
   A
2. B26,300
   B
3. C275,900
   C
4. D367,800
   D

The function g is defined by g(x)=-x/3+11. What is the x-intercept of the graph of y=g(x)+6 in the xy-plane?

1. A(-33, 0)
   A
2. B(-51, 0)
   B
3. C(33, 0)
   C
4. D(51, 0)
   D

An auditorium has seats for 2,600 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=-100x^2+1,800x+20,800, 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. B9
   B
3. C18
   C
4. D26
   D

k+21=63
What is the solution to the given equation?

1. A3
   A
2. B42
   B
3. C84
   C
4. D1,323
   D

The function f gives the product of a number, x, and a number that is 45 more than x. Which equation defines f ?

1. Af(x)=x^2+x+45
   A
2. Bf(x)=x^2+45
   B
3. Cf(x)=x^2+45x
   C
4. Df(x)=x^2+45x+45
   D

ax+by=96
2ax+8y=72
In the given system of equations, a and b are constants. The graphs of these equations in the xy-plane intersect at the point (x, 6). What is the value of b?

1. A4
   A
2. B6
   B
3. C8
   C
4. D14
   D

If the perimeter of an equilateral triangle with a height of 21 is a√3 , what is the value of a?

An object's speed is increasing at a rate of 10.5 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. A0.4
   A
2. B23.5
   B
3. C153.2
   C
4. D281.6
   D

The function j is defined by j(x)=x/7 . What is the value of j (42)?

1. A42
   A
2. B35
   B
3. C7
   C
4. D6
   D

The speed of a white-throated needletail, a type of bird, in flight was measured to be 79 miles per hour. What was the white-throated needletail's measured speed, in kilometers per hour? (Use 1 mile = 1.6 kilometers.)

1. A126.4
   A
2. B80.6
   B
3. C77.4
   C
4. D49.4
   D

(2x^2+8x-6)-(4x^2+7x)
The given expression is equivalent to -2x^2+ax-6 , where a is a constant. What is the value of a?

What is the y-intercept of the graph of y=11^x in the xy-plane?

1. A(0, 1)
   A
2. B(0, 0)
   B
3. C(0, 11)
   C
4. D(0, 10)
   D

y=x+19
y=-x+33
The solution to the given system of equations is (x, y).
What is the value of 2y?

1. A14
   A
2. B26
   B
3. C52
   C
4. D104
   D

To cut a lawn, Antwan charges a fee of $15.00 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12.00 for her equipment and $9.00 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor's total charge is greater than Antwan's total charge?

1. A5≤x≤6
   A
2. B6≤x≤7
   B
3. Cx<5
   C
4. Dx>6
   D

Which quadratic equation has exactly one distinct real solution?

1. A-97x^2=0
   A
2. B9x^2+3=0
   B
3. C9x^2+3x+1=0
   C
4. D-97x^2-97x=0
   D

x^2+9x+5=0
One solution to the given equation can be written as x=(-9+√k)/2 , where k is a constant. What is the value of k?

If 17-5(4-7x)=4-6(4-7x), what is the value of 4-7x?

A rectangular poster has an area of 360 square inches. A copy of the poster is made in which the length and width of the original poster are each increased by 40%. What is the area of the copy, in square inches?

The function f is defined by f(x)=41(0.28)^x . For any positive integer n, the value of f (n) is p% less than the value of f (n -1). What is the value of p?

1. A72
   A
2. B59
   B
3. C41
   C
4. D28
   D

5x=75y-125
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. Ax=3y
   A
2. B1/5x=3y
   B
3. Cx=15y-25
   C
4. D1/5x=15y-25
   D

f (x)=(x-a)(x-b)
The function f is defined by the given equation, where a and b are integer constants. If f (35)>0 , f (38)<0, and f (41)>0 , which of the following could be the value of a+b?

1. A38
   A
2. B40
   B
3. C73
   C
4. D75
   D

√x^2-20x+100-11x=0
What are all possible solutions to the given equation?

1. A-1
   A
2. B5/6
   B
3. C-1 and 1
   C
4. D-1 and5/6
   D

6x^2(3x-16)(3x-u)=0
In the given equation, u is a positive constant. The sum of the solution to the equation is 13. What is the value of u?

The cost of renting a power washer is $44 for the first day and $22 for each additional day. Which of the following functions gives the cost C(d) , in dollars, of renting the power washer for d days, where d is a positive integer?

1. AC(d)=22d+22
   A
2. BC(d)=22d+44
   B
3. CC(d)=44d-22
   C
4. DC(d)=44d+66
   D

Function f is a quadratic function. The graph of y=f (x) in the xy-plane has a vertex at (9, -7), contains the point (8, -9), 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?

A 9-pound cat eats two types of canned cat food: chicken-flavored and duck-flavored. The recommended amount of chicken-flavored food is 2.25 cans per 8 pounds of a cat's weight per day. The recommended amount of duck-flavored food is 0.75 cans per 5 pounds of a cat's weight per day. If c is the number of chicken-flavored cans and d is the number of duck-flavored cans a 9-pound cat eats in one day, which equation describes all the possible values of c and d for the cat to eat the recommended amount of food based on its weight?

1. A0.75/5c+2.25/8d=9
   A
2. B2.25/8c+0.75/5d=9
   B
3. C5/0.75c+8/2.25d=9
   C
4. D8/2.25c+5/0.75d=9
   D