Julia purchased 400 feet of fencing. She used 90% of this fencing to surround a vegetable garden. How many feet of fencing did Julia use to surround the vegetable garden?

1. A18
   A
2. B45
   B
3. C310
   C
4. D360
   D

Which expression is equivalent to 19(x^2-6) ?

1. A19x^2-114
   A
2. B19x^2-25
   B
3. C19x^2-6
   C
4. D19x^2+13
   D

5,8,11,17,29
What is the mean of the data shown?

1. A11
   A
2. B14
   B
3. C17
   C
4. D29
   D

A sleep study consisted of 77 participants, of which 69 participants each had an average of more than 120 minutes of rapid eye movement (REM) sleep per night. If a participant from this sleep study is selected at random, what is the probability of selecting a participant that had an average of more than 120 minutes of REM sleep per night?

1. A69/100
   A
2. B77/100
   B
3. C69/77
   C
4. D77/69
   D

A soccer team's goal is to earn at least $1,320 by selling coupon books. The team earns $12 from selling each coupon book. Which of the following inequalities describes all possible values for the number of coupon books, n, the team can sell to meet the goal?

1. An+12≤1,320
   A
2. Bn+12≥1,320
   B
3. C12n≤1,320
   C
4. D12n≥1,320
   D

1.5c+3d=84
The given equation describes the relationship between the number of cats, c, and the number of dogs, d, that can be cared for at a pet care business during a week. If the business cares for 28 dogs during a week, how many cats can it care for during this week?

1. A0
   A
2. B3
   B
3. C42
   C
4. D84
   D

What is the y-intercept of the graph of y=8^(x+3) in the xy-plane?

1. A(0,512)
   A
2. B(0,0)
   B
3. C(0,3)
   C
4. D(0,8)
   D

The function g is defined by g(x)=(√cx)/c+17, where c is a negative constant. What is the value of g(25c)?

The graph of the polynomial function f in the xy-plane, where y=f(x), has x-intercepts of (-2,0) and (8,0). Which of the following must be true?

1. Af(0)=-2
   A
2. Bf(8)=-2
   B
3. Cf(-2)=0
   C
4. Df(-2)=8
   D

(x-20)(x-18)(x+9)(x+17)=0
What is a positive solution to the given equation?

y=x^2-22x+80
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

1. A-22
   A
2. B11
   B
3. C22
   C
4. D80
   D

y=x^2-16x+44
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

1. A-16
   A
2. B8
   B
3. C16
   C
4. D44
   D

In the xy-plane, the graph of the equation (x-4)^2+(y-2)^2=16 is a circle. The point (8,c), where c is a constant, lies on this circle. What is the value of c?

6(x-8)=(x-8)+6
If x is the solution to the given equation, what is the value of x-8?

9/2x+7y=30
5/2x+7y=26
The solution to the given system of equations is (x, y). What is the value of 19/2x+21y?

1. A2
   A
2. B3
   B
3. C56
   C
4. D82
   D

The graph of a line in the xy-plane passes through the point (1,7) and crosses the x-axis at the point (3,0). The line crosses the y-axis at the point (0,b). What is the value of b?

7x+5y=4
21x+15y=12
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,-7r/5+4/5)
   A
2. B(-7r/5+4/5,r)
   B
3. C(-7r/5+4,7r/5+12)
   C
4. D(r/3+4,-r/3+12)
   D

The function g is defined by g(x)=-18-9x. For what value of x does g(x)=-216?

1. A-26
   A
2. B22
   B
3. C26
   C
4. D1,926
   D

The population of a certain city doubled every 25 years from 1660 to 1760. The population of this city was 208,000 in 1760. What was the population of this city in 1660?

1. A13,000
   A
2. B26,000
   B
3. C104,000
   C
4. D416,000
   D

The function f(x)=600(0.5)^(x/11) gives the predicted intensity of a beam f(x), in number of photons in the beam, x millimeters below the surface of a certain material. What is the best interpretation of f(11)=300?

1. AA beam at the surface of the material has a predicted intensity of 11 photons in the beam.
   A
2. BA beam at the surface of the material has a predicted intensity of 300 photons in the beam.
   B
3. CA beam 11 millimeters below the surface of the material has a predicted intensity of 300 photons in the beam.
   C
4. DA beam 300 millimeters below the surface of the material has a predicted intensity of 600 photons in the beam.
   D

For the linear function h, h(0)=0 and h(11)=5. Which equation defines h?

1. Ah(x)=5/11x
   A
2. Bh(x)=5/11x+5
   B
3. Ch(x)=11/5x
   C
4. Dh(x)=11/5x+11
   D

Hassan put up wire fencing along each edge of a rectangular garden with a length of x feet and a width of y feet. Hassan put up a total length of 44 feet of wire fencing. Which equation represents this situation?

1. A2x+2y=44
   A
2. Bx+y=44
   B
3. C2xy=44
   C
4. Dxy=44
   D

How many solutions does the equation 7x-19=19-7x have?

1. AZero
   A
2. BExactly one
   B
3. CExactly two
   C
4. DInfinitely many
   D

y>17
4x+y<21
The point (x, 54) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?

1. A9
   A
2. B5
   B
3. C-5
   C
4. D-9
   D

A linear function f gives a company's profit, in dollars, for selling x items. The company's profit is $190 when it sells 4 items, and its profit is $670 when it sells 10 items. Which equation defines f?

1. Af(x)=180x-670
   A
2. Bf(x)=67x
   B
3. Cf(x)=80x-10x
   C
4. Df(x)=80x-130
   D

Which quadratic equation has no real solutions?

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

The circumference of the base of a right circular cylinder is 6π meters, and the height of the cylinder is 19 meters. What is the volume, in cubic meters, of the cylinder?

1. A57π
   A
2. B114π
   B
3. C171π
   C
4. D684π
   D

A zoologist observed the nests of wood ducks in an area.Each year, the zoologist recorded the number of eggs in each of the first 30 nests that were observed and created a frequency table for the data set. Which of the following frequency tables represents the data set with the smallest standard deviation?

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

A carnival receives $10 for each adult admission ticket sold and $5 for each child admission ticket sold. On a particular day, the carnival received a total of $4,100 from selling adult and child admission tickets. If 220 adult admission tickets were sold on that day, how many child admission tickets were sold?

y-x=32
y=x^2-30x
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 y?

1. A32
   A
2. B33
   B
3. C63
   C
4. D64
   D

c(r)=2/5(2πr)
The function c gives the partial length, in centimeters (cm), of the circumference of a circle with a radius that measures r cm. According to the function, for each increase of 18 cm in the length of the radius, this partial length of the circumference increases by kπ cm. What is the value of k?

f(x)=25(1.40)^(x/3)
For the given function f, the value of f(x) increases by p% for every increase of x by 6. What is the value of p?

1. A40
   A
2. B49
   B
3. C80
   C
4. D96
   D

The function k is defined by k(s)=√s+110. If k(53p)=p, where p is a constant, what is the value of p?

If 121x^2=-110x+56 , what is the value of 11x+5, where 11x+5>0?

A computer program models the population of a certain insect in an environment where the insect has no natural predators. According to the model, the estimated total mass of the population of insects at the end of every 5-week period is 158% greater than the estimated total mass of the population of insects at the end of the previous 5-week period. The estimated total mass of the population of insects at the end of 15 weeks is 627.7 grams. Which equation best represents this model, where M is the estimated total mass, in grams, of the population of insects at the end of t weeks?

1. AM=538.92(1.58)^(5/t)
   A
2. BM=457.66(2.58)^(5/t)
   B
3. CM=159.14(1.58)^(t/5)
   C
4. DM=36.55(2.58)^(t/5)
   D

The value of an autographed baseball increased by 178% from the end of 2012 to the end of 2013 and then decreased by 21% from the end of 2013 to the end of 2014. What was the net percentage increase in the value of the autographed baseball from the end of 2012 to the end of 2014?

1. A119.62%
   A
2. B140.62%
   B
3. C157.00%
   C
4. D236.38%
   D

If n and k are numbers greater than 1 and 4√n^5 is equivalent to 5√k^2, for what value of a is n^(2a+1) equal to k?

The area of a rectangular region is increasing at a rate of 280 square feet per hour. Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28 feet.)

1. A0.43
   A
2. B1.42
   B
3. C15.31
   C
4. D26.03
   D