An object's speed is 60 yards per second. What is the object's speed, in feet per second? (1 yard = 3 feet)

The length, y, of a beluga whale was 158 centimeters (cm) when it was born and increased an average of 4.9 cm per month for the first 12 months after it was born. Which equation best represents this situation, where x is the number of months after the whale was born?

1. Ay=158x
   A
2. By=158x+158
   B
3. Cy=4.9x+4.9
   C
4. Dy=4.9x+158
   D

At what point (x,y) do the graphs of the equations y=3x+6 and y=4x-2 intersect in the xy-plane?

1. A(3,4)
   A
2. B(4,3)
   B
3. C(8,30)
   C
4. D(30,8)
   D

4x=32
How many solutions does the given equation have?

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

In triangle PQR, the measure of ∠P is 56°, and the measure of ∠Q is 74°. What is the measure of ∠R, in degrees∠R?

(w+16)(w+4)=0
What is one possible solution to the given equation ?

For two acute angles X and Y, the measure of angle Y is 47° and (sin X)/(cos Y)=1. What is the measure, in degrees, of angle X?

1. A92
   A
2. B47
   B
3. C45
   C
4. D43
   D

x+2y=27
2y=11
The solution to the given system of equations is (x,y). What is the value of x?

1. A-16
   A
2. B-5
   B
3. C16
   C
4. D38
   D

Which expression is equivalent to 60x^2-70?

1. A70(60x^2-1)
   A
2. B60(70x^2-1)
   B
3. C10(50x^2-60)
   C
4. D10(6x^2-7)
   D

The ratio s to t is equivalent to the ratio 1 to 3. If the value of s is multiplied by 25, how will the value of t change to maintain this ratio?

1. AIt will be multiplied by 1.
   A
2. BIt will be multiplied by 22.
   B
3. CIt will be multiplied by 25.
   C
4. DIt will be multiplied by 28.
   D

A linear function g is defined by g(x)=ax+b, where a and b are constants. If g(-1)=-8 and g(3)=4, what is the value of a?

1. A3
   A
2. B-5
   B
3. C5
   C
4. D-3
   D

If 5+x=2, what is the value of -15-3x^2 ?

The function k is defined by k(x)=x^3+80. What is the value of k(x)when x=2?

1. A80
   A
2. B85
   B
3. C86
   C
4. D88
   D

Which expression is equivalent to 2xy+14x^2y+16xy^2?

1. A2xy(7x+8y)
   A
2. B2xy(14x+16y)
   B
3. C2xy(1+7x+8y)
   C
4. D2xy(1+14x+16y)
   D

x^2+(√k-3)x+33=0
In the given equation, k is a constant. The equation has exactly one real solution. What is the value of k?

The function f is defined by the equation f(x)=100x+4. What is the value of f(x) when x=3 ?

1. A107
   A
2. B112
   B
3. C300
   C
4. D304
   D

Which expression is equivalent to x^6(x^3) ?

1. Ax^2
   A
2. Bx^3
   B
3. Cx^9
   C
4. Dx^18
   D

The function g is defined by g(x)=16x+25 . For what value of x does g(x)=29?

x+y=53
The given equation relates the total number of marble queen pothos stems, x, and the total number of snow queen pothos stems, y, a plant nursery propagates to create pothos plants. If 13 snow queen pothos stems are propagated, how many marble queen pothos stems are propagated?

1. A53
   A
2. B40
   B
3. C27
   C
4. D13
   D

In a computer application, the area of a figure on the screen increases over time. This area, in pixels, is given by the function A(t)=16(2)^t, where t is the number of seconds after the area of the figure begins increasing. Which statement is the best interpretation of A(7)=2,048 in this context?

1. A2,048 seconds after the area of the figure begins increasing, its area is 7 pixels.
   A
2. B7 seconds after the area of the figure begins increasing, its area is 2,048 pixels.
   B
3. C0 seconds after the area of the figure begins increasing, its area is 2,048 pixels.
   C
4. D0 seconds after the area of the figure begins increasing, its area is 7 pixels.
   D

A wireless phone company pays customers for trading in old smartphones. The payment p, in dollars, is the original retail price of a smartphone minus $135 for each year since the smartphone was released. Which equation represents this situation for a smartphone with an original retail price of $750 when it was released t years ago, where t is a whole number and 1≤t≤4?

1. Ap=135-750t
   A
2. Bp=750-135t
   B
3. Ct=135-750p
   C
4. Dt=750-135p
   D

r(x)=p/(x-4)+16
The given equation defines the function r , where p is a positive constant. The graph of y=r(x) in the xy-plane is translated 7 units to the left to produce the graph of y=t(x). Which equation defines function t ?

1. At(x)=p/(x-4)+16-7
   A
2. Bt(x)=(p-7)/(x-4)+16
   B
3. Ct(x)=p/(x-4-7)+16
   C
4. Dt(x)=p/(x-4+7)+16
   D

y>19
3x+y<26
The point (x,44) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?

1. A7
   A
2. B3
   B
3. C-3
   C
4. D-7
   D

Which expression is a factor of x^4+14ax^2+49a^2-64 , where a is a positive constant?

1. Ax^2+7a+8
   A
2. Bx^2-7a-8
   B
3. Cx^2+14a
   C
4. Dx^2-8a
   D

For the linear function g, g(9)=11and g(x+1)-g(x)=2. Which equation defines g?

1. Ag(x)=9x+2
   A
2. Bg(x)=9x+11
   B
3. Cg(x)=2x-18
   C
4. Dg(x)=2x-7
   D

The result of increasing the quantity x by 800% is 504. What is the value of x?

The length of a rectangle's diagonal is √65, and the length of one of the rectangle's sides is 4. What is the perimeter of the rectangle?

For the linear function f, f(1)=654 and f(2)=648. Which of the following defines f?

1. Af(x)=1/6x+(3,923)/6
   A
2. Bf(x)=-1/6x+(3,925)/6
   B
3. Cf(x)=6x+648
   C
4. Df(x)=-6x+660
   D

f(x)=18(2.80)^(x/2)
The function f is defined by the given equation. The value of f(x) increases by p% for every increase of x by 4. For which of the following functions, where n is a positive constant, does the value of g(x) increase by p% for every increase of x by 1?

1. Ag(x)=n(1.40)^x
   A
2. Bg(x)=n(2.80)^x
   B
3. Cg(x)=n(6.84)^x
   C
4. Dg(x)=n(7.84)^x
   D

5(6x)+9(8y)=36
-5(6x)+9(8y)=36
The solution to the given system of equations is (x,y). What is the value of 6x+8y?

1. A0.5
   A
2. B0.8
   B
3. C4
   C
4. D36
   D

At an initial observation, the number of bacteria in a population is 600. If the number of bacteria in the population doubles every 11 minutes, how many minutes after the initial observation will the number of bacteria in the population be 4,800?

Object Z has a mass of 170 grams. The mass of object X is 4,400% of the mass of object Z. The mass of object Z is 20% of the mass of object Y. The sum, in grams, of the mass of object X and the mass of object Y is equal to the product, in grams, of w and the mass of object Z, where w is a constant. What is the value of w?

A research manager selected 2 random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to preheat to 325 degrees Fahrenheit (°F). The research manager recorded the amount of time, in minutes, each oven takes to preheat to 325 °F. Based on the first sample, the research manager estimated that this type of oven takes an average of 15.2minutes to preheat to 325 °F, with an associated margin of error of 1 minute. Based on the second sample, the research manager estimated that this type of oven takes an average of 15.4 minutes to preheat to 325 °F, with an associated margin of error of 2.2minutes. Assuming the margins of error were calculated the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?

1. AThe first sample contained more ovens than the second sample.
   A
2. BThe first sample contained fewer ovens than the second sample.
   B
3. C-a+29/4{cke_protected}{C}%3C!%2D%2D%7BC%7D%253C!%252D%252D%25253Cmeta%252520charset%25253D%252522UTF-8%252522%252520%25252F%25253E%252D%252D%253E%2D%2D%3EThe first sample took more time on average to preheat to 325 °F than the second sample.
   C
4. D{cke_protected}{C}%3C!%2D%2D%7BC%7D%253C!%252D%252D%25253Cmeta%252520charset%25253D%252522UTF-8%252522%252520%25252F%25253E%252D%252D%253E%2D%2D%3EThe first sample took less time on average to preheat to 325 °F than the second sample.-a+29/4
   D