In triangle ABC, the measure of angle A is 34° and the measure of angle B is 90°. What is the measure, in degrees, of angle C?

1. A34
   A
2. B56
   B
3. C90
   C
4. D180
   D

Which expression is equivalent to 3xy(2x^2+7y) ?

1. A5x^3y+10xy^2
   A
2. B6x^2y+7y
   B
3. C6x^2y+21xy
   C
4. D6x^3y+21xy^2
   D

Which expression is equivalent to 30x^2+6x+6 ？

1. A5x^2(6x+6)
   A
2. B30x(x+1)
   B
3. C65x^2+x+16(5x^2+x+1) 65x^2+x+1
   C
4. D4(2x^2+x+1)
   D

For a particular tree species, it is recommended to plant a maximum of 92 trees per acre. Based on this recommendation, what is the maximum number of trees of this species that can be planted on 2 acres?

1. A276
   A
2. B184
   B
3. C94
   C
4. D90
   D

A gym charges its members a onetime $34 enrollment fee and a membership fee of $16 per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of $178 at the gym?

f(x)=7x+b
For the linear function f, b is a constant and f(8)=56 . What is the value of b?

1. A0
   A
2. B1
   B
3. C7
   C
4. D8
   D

The function f defined by f(t)=14t+9 gives the estimated length, in inches, of a pothos plant t months after Shruti purchased it. Which of the following is the best interpretation of 9 in this context?

1. AShruti will keep the pothos plant for 9 months.
   A
2. BThe pothos plant is expected to grow 9 inches each month.
   B
3. CThe pothos plant is expected to grow to a maximum length of 9 inches.
   C
4. DThe estimated length of the pothos plant was 9 inches when Shruti purchased it.
   D

At a convention center, there are a total of 375 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.48, and the probability of selecting a visitor who is located in room B is 0.24. How many visitors are located in room C?

1. A28
   A
2. B43
   B
3. C90
   C
4. D105
   D

x^2-28x=0
Which of the following is a solution to the given equation?

1. A56
   A
2. B28
   B
3. C14
   C
4. D√28
   D

A right square pyramid has a height of 12 inches and a volume of 196 cubic inches. What is the perimeter, in inches, of the base of this pyramid?

The value of a share of stock was $240 on the day it was purchased. Every year, the value of the share of stock increases by 1% of its value the previous year. Which function V gives the value, in dollars, of the share of stock t years after the day it was purchased?

1. AV(t)=240(1.01t)
   A
2. BV(t)=240(1.1t)
   B
3. CV(t)=240(1.01)^t
   C
4. DV(t)=240(1.1)^t
   D

If f(x)=x+3 and g(x)=3x , what is the value of 6f(3)-g(3) ?

1. A-3
   A
2. B12
   B
3. C18
   C
4. D27
   D

3x+9y=10
rx+18y=20
In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?

1. A2
   A
2. B3
   B
3. C6
   C
4. D9
   D

A club plans to sell tote bags. The club members estimate they will sell 80 tote bags when the bags are priced at $9 each. For every price increase of $1, they estimate they will sell 8 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $12 each? (revenue = price × number sold)

3x+6y=17
-3x-4y=5
The solution to the given system of equations is (x,y). What is the value of 2y ?

What value of w is the solution to the equation 0.7w-0.57=7(w-0.001) ?

Which quadratic equation has exactly one distinct real solution?

1. Ax^2-16=0
   A
2. Bx^2+16=0
   B
3. Cx^2-16x+56=0
   C
4. Dx^2-16x+64=0
   D

What is the y-intercept of y=-(4)^x-39 in the xy-plane?

1. A(0,-40)
   A
2. B(0,-43)
   B
3. C(0,-39)
   C
4. D(0,-38)
   D

A rectangular poster has an area of 330 square inches. A copy of the poster is made in which the length and width of the original poster are each increased by 50%. What is the area of the copy, in square inches?

A circle in the xy-plane has center (28,5) and y-intercepts (0,-16) and (0,26). What is the radius of this circle?

1. A35
   A
2. B26
   B
3. C21
   C
4. D16
   D

The total cost f(x) , in dollars, to lease a car for 24 months from a particular car dealership is given by f(x)=24x+1,000 , where x is the monthly payment, in dollars. What is the total cost to lease a car when the monthly payment is $300?

1. A$6,200
   A
2. B$7,000
   B
3. C$8,200
   C
4. D$25,300
   D

5x+3=rx+7
In the given equation, r is a constant. The equation has no solution. What is the value of r?

1. A21
   A
2. B8
   B
3. C7
   C
4. D5
   D

If 5(2x+9)=3(2x+9)+74 , what is the value of 2x+9 ?

1. A74
   A
2. B37
   B
3. C28
   C
4. D14
   D

If 350% of n is 35, what is the value of n?

1. A12,250
   A
2. B1,225
   B
3. C1,000
   C
4. D10
   D

y=x^2+17x+4
y=x+4
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. A-16
   A
2. B-15
   B
3. C13
   C
4. D15
   D

A piece of string with a length of 108 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 8 more than 4 times the value of y. What is the value of x?

1. A25
   A
2. B29
   B
3. C58
   C
4. D88
   D

A landscaper will plant two types of shrubs, hydrangeas and winter hazels, in a park. There will be no more than 244 total shrubs planted, and the number of hydrangeas planted will be at most three times the number of winter hazels planted. Which of the following systems of inequalities best represents this situation, where h is the number of hydrangeas that will be planted and w is the number of winter hazels that will be planted?

1. Ah+w≤244
   h≤3w
   A
2. Bh+w≤244
   3h≥w
   B
3. Ch+w≥244
   h≤3w
   C
4. Dh+w≥244
   3h≥w
   D

y≤x+3
y≥-3x-7
Which point (x,y) is a solution to the given system of inequalities in the xy-plane?

1. A(0,-14)
   A
2. B(0,14)
   B
3. C(-14,0)
   C
4. D(14,0)
   D

3x^2-5x-5=0
What is the greatest solution to the given equation?

1. A5/6-(√85)/6
   A
2. B5/6+(√85)/6
   B
3. C5/3-(√85)/3
   C
4. D5/3+(√85)/3
   D

f(x)=-0.0038400x^2+15.236x-15,103
The model shown gives the predicted average Arctic sea ice area f(x) , in millions of square kilometers, for September of each year x, where x represents a year and 1979≤x≤2012 . Based on the model, what is the positive difference, in millions of square kilometers, between the predicted average Arctic sea ice area for September of the year 1991 and the predicted average Arctic sea ice area for September of the year 1992? (Round your answer to the nearest thousandth.)

What is the y-intercept of the graph of y=(8/13)^(x+1) in the xy-plane?

1. A(8,13)
   A
2. B(0,13)
   B
3. C(0,8)
   C
4. D(0,8/13)
   D

f(x)=x^2-4x-320
The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the minimum value of the function as a constant or coefficient?

1. Af(x)=x^2-4(x+80)
   A
2. Bf(x)=(x-2)^2+(-324)
   B
3. Cf(x)=x(x-4)+(-320)
   C
4. Df(x)=(x+16)(x-20)
   D

Line s in the xy-plane is defined by 6x+2y=0 . Line t is perpendicular to line s and passes through the points (7,0) and (k,4/3) . What is the value of k?

g(x)=x^3+ax^2+bx+c
The function g is defined by the given equation, where a, b, and c are integer constants. The zeros of the function are -2 , -7 , and 6 . What is the value of a?

1. A-84
   A
2. B-3
   B
3. C3
   C
4. D84
   D

A carpenter charges a flat rate of $216 for the first 3 hours of work and $60 for each additional hour of work. Which equation gives the total amount y, in dollars, that the carpenter charges for x hours of work, where x>3 ?

1. Ay=60x+216
   A
2. By=216x+396
   B
3. Cy=60x+36
   C
4. Dy=216x+60
   D

46/p=46/q-46/r-46/s
The given equation relates the positive variables p, q, r, and s. Which of the following is equivalent to q?

1. Aprs/(pr+ps+rs)
   A
2. Bprs/(46p+46r+46s)
   B
3. Cp+r+s
   C
4. D46(p+r+s)
   D

A right square pyramid has a total surface area of 70,560 square inches, and the combined surface area of the four lateral faces of this pyramid is 38,160 square inches. What is the height, in inches, of this pyramid?

1. A56
   A
2. B90
   B
3. C106
   C
4. D180
   D

1/cx=x/96+1/c
In the given equation, c is a constant. If the equation has exactly one solution, what is the value of c?