Which expression is equivatent to 3x^2+2x ?

1. Ax(3x+2)
   A
2. B2x(3x+1)
   B
3. C3x(x+2)
   C
4. Dx^2(3x+2)
   D

In a right trangle, the measure of one of the acute angles is 28°. What is the measure, in degrees, of the other acute angle?

1. A28
   A
2. B56
   B
3. C62
   C
4. D152
   D

The function g is defined byg(x)=√3x+7. What is the value of g(6) ?

1. A5/3
   A
2. B25/3
   B
3. C5
   C
4. D25
   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

x=2
y=1/(x+8)
The graphs of the given equations intersect at the point (x , y) in the xy-plane. What is the value of y?

1. A1/10
   A
2. B1/8
   B
3. C1/6
   C
4. D1/2
   D

If (x-10)/2=8, what is the value of x-10?

A student council group is selling car stickers for a fundraiser. They use the function p(x) = 5x -210 to determine their profit p(x), in dollars, for selling x car stickers. In order to earn a profit of $900 , how many car stickers must they sell ?

For the linear function g , the graph of y=g(x) in the xy-plane has a slope of 2 and passes through the point (1, 17) . Which equation defines g?

1. Ag(x)=2x
   A
2. Bg(x)=2x+2
   B
3. Cg(x)=2x+15
   C
4. Dg(x)=2x+17
   D

The measure of angle Z is 75°. What is the measure, in radians , of angle Z ?

1. A5/24π
   A
2. B5/12π
   B
3. C5/6π
   C
4. D5/4π
   D

A circle has a radius of 2.9 inches. The area of the circle is bπ square inches, where b is a constant. What is the value of b?

Line t is defined by y=-1/6x+17. Line s is perpendicular to line t in the xy-plane. What is the slope of line s?

1. A1/17
   A
2. B1/6
   B
3. C6
   C
4. D17
   D

How many centimeters are equivalent to 24 meters? (1 meter =100 centimeters)

A signal from a satellite in space travels to the surface of Earth at the speed of light. The signal takes 0.1473 seconds to reach the surface of Earth. What is the approximate distance, in kilomelers, from the satellite to the surface of Earth? (Nate: Use 2.998×108 meters/ second for the speed of light. 1,000 meters = 1 kilometer)

1. A2,035,302
   A
2. B44,161
   B
3. C4,416
   C
4. D736
   D

In triangle ABC, the measure of angle C is 90° degrees. The cosine of angle A is 231/281.What is the sine of angle B ?

1. A160/281
   A
2. B160/231
   B
3. C231/281
   C
4. D281/231
   D

P(t)=230(1.03)^(3/2t)
The function P models the population, in thousands, of a certain city t years after 2001. According to the model, the population is predicted to increase by n% every 8 months. What is the value of n?

1. A0.22
   A
2. B1.03
   B
3. C2
   C
4. D3
   D

|x-6|=15
What is the sum of the solutions to the given equation?

1. A0
   A
2. B12
   B
3. C21
   C
4. D30
   D

The expression (6x+y)(x+6y)(4x+y)is equivalent to ax^3+bx^2y+cxy^2+dy^3 ，where a, b, c, and d are constanuts. What is the value of c?

The area of a rectangle is 108 square inches. The length of the longest side of the rectangle is 18 inches. What is the length, in inches, of the shortest side of this rectangle ?

A chemist mixed x liters of a 4% saline solution with y liters of a 7% saline solution to produce a 6% saline solution. Which equation hest represents this situation? (Assume the volumes of the solutions are additive.)

1. A0.4x+0.7y=0.6(x+y)
   A
2. B0.4x+0.7y=6(x+y)
   B
3. C0.04x+0.07y=0.06(x+y)
   C
4. D0.04x+0.07y=6(x+y)
   D

If 11r=8r+27, what is the value of 4r?

1. A9
   A
2. B12
   B
3. C32
   C
4. D36
   D

In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The valne of sin(R) is (2√10)/7. What is the value of cos(S) ?

1. A(3√10)/20
   A
2. B(2√10)/7
   B
3. C(7√10)/20
   C
4. D(2√10)/3
   D

y=x/3+2
y=-x/3+60
The solution to the given system of equations is ( x, y ) . What is the value of 2y?

1. A62
   A
2. B60
   B
3. C58
   C
4. D2
   D

19.5x + 27.25y = 8374
Odalys ordered mulch and river rock, which cost a total of 8374, for her home. The given equation represents the relationship between the mumber of cubic yards of mulch, x ,and the number of tons of river rock, y, Odalys ordered. How much more, in dollars, did a ton of river ruck cost Odalys than a cubic yard of mulch?

x=9a(b+10)
The given equation relates the positive numbers a, b, and x . Which equation correctly expresses a in terms of b and x?

1. Aa=x/9-(b+10)
   A
2. Ba=x/(9(b+10))
   B
3. Ca=(9(b+10))/x
   C
4. Da=9x(b+10)
   D

The length of one side of a rectangle is 10 units longer than the length of another side. The rectangle's area is 504 square units. What is the length, in units, of the shorter of these two sides?

The function f is defined by f(x)=7x-135. If the point (k, 2k) lies on the graph of y=f(x) in the xy-plane, where k is a constant, what is the value of k?

1. A7
   A
2. B14
   B
3. C27
   C
4. D135
   D

Triangles PQR and LMN are graphed in the xy-plane. Triangle PQR has vertices P，Q and R at (2, 3), (2, 6), and (5, 3), respectively. Triangle LMN has vertices L, M, and N at ( 2 , 3 ), (2 , 6 + k), and (5 + k , 3), respectively, where k is a positive constant. If the measure of ∠Q is t°, what is the measure of ∠N?

1. A(90+k)°
   A
2. B(90-t)°
   B
3. C(90-(t+k))°
   C
4. D(90-(t-k))°
   D

The composition of an animal is defined as the muscles, bones, and fat of the animal. A scientist studied the composition of one young swamp buffalo and determined the buffalo had 123.8 kilograms of muscle, which made up approximately 67.4% of its composition. Of the remaining composition of this buffalo, approximately 58.7% was bone, and the remainder was fat. Based on these approximatious, to the nearest tenth, how many kilagrams of this buffalo's composition was fat?

f(x)=(x-a)(x-b)
The function f is defined by the given equation, where a and b are integer constants. If f(37)>0,f(40)<0，and f(43)>0. What is one possible value of a + b?

For a function f, the value of f(x)is multiplied by 8 for every increase of 1 in the value of x . When x = 0, f(x)=5.Which of the following equations defines f?

1. Af(x)=8(5)^x
   A
2. Bf(x)=5+8x
   B
3. Cf(x)=5(8x)
   C
4. Df(x)=5(8)^x
   D

30x=1,800y-2,700
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. A1/30x=2y
   A
2. B1/30x=60y-90
   B
3. Cx=2y
   C
4. Dx=60y-90
   D

In a set of four consecutive odd integers, where the integers are ordered from least to greatest, the first unteger is represented by x. The product of 26 and the third odd integer in the set is at most the value of 46 less than the sum of the first and fourth odd integers in the set. What is the greatest possible value of x?

y=x-c
y=-2(x-11)^2
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?

1. A6
   A
2. B10
   B
3. C87/8
   C
4. D16
   D

The cost of renting a power washer, is $76 for the first day and $38 for each additional day. Which of the following functions gives the cost C(d) , in doilars, of renting the power washer for d days, where d is a pasitive integer?

1. AC(d)=38d+38
   A
2. BC(d)=38d+76
   B
3. CC(d)=76d-38
   C
4. DC(d)=76d+114
   D

For the function f, for each increase in the value of x by c, where c is a posftive constant, the value of f(x) increases by a factor of 27. Which of the following equivalent forms of the function f displays 1/c as a coefficient of x ?

1. Af(x)=54(3)^(1/2x)
   A
2. Bf(x)=54(3^3)^(1/6x)
   B
3. Cf(x)=54(9)^(1/4x)
   C
4. Df(x)=54(27^(1/3x))^(1/2)
   D

f(x)=ax^2+3x+c
In the given quadratic function, a and c are constants. The graph of y=f(x) in the xy-plane is a parabola that opens upward and has a vertex at the point (h, k), where h and k are constants. If k < 0 and f(-7)=f(1), which of the following must be true?
Ⅰ. c < 0
Ⅱ. a ≥ 1

1. AⅠ only
   A
2. BⅡ only
   B
3. CⅠ and Ⅱ
   C
4. DNeither Ⅰ nor Ⅱ
   D
5. AⅠ only
   A
6. BⅡ only
   B
7. CⅠ and Ⅱ
   C
8. DNeither Ⅰ nor Ⅱ
   D