Tilly earns p dollars for every w hours of work. Which expression represents the amount of money, in dollars, Tilly earns for w39 hours of work?

A) \$p/39\$

B) p + 39

C) 39p

D) p - 39

For a training program, Juan rides his bike at an average rate of 5.7 minutes per mile. Which function m models the number of minutes it will take Juan to ride x miles at this rate?

A) \$m(x) = x - 5.7 \$

B) \$m(x) = x/(5.7)\$

C) \$m(x) = x + 5.7\$

D) \$m(x) = 5.7x \$

\$3x = 12\$
\$- 3x + y = - 6\$
The solution to the given system of equations is (x, y). What is the value of y?

A) −3

B) 6

C) 18

D) 30

s = 40 + 3r
The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?

A) 55

B) 40

C) 43

D) 45

For the right triangle shown, a = 4 and b = 5. Which expression represents the value of c?

A) 4 + 5

B) \$sqrt(4^2 + 5^2)\$

C) \$sqrt(4 + 5)\$

D) \$sqrt((4)(5))\$

\$4x + 5 = 165\$
What is the solution to the given equation?

A) 40

B) 65

C) 20

D) 50

The x-intercept of the graph shown is (x,0). What is the value of x?

A) 8

B) 7

C) 10

D) 5

The function f is defined by \$f(x) = 1/10x - 2\$ What is the y-intercept of the graph of \$y = f(x)\$ in the xy-plane?

A)\$(1/10, 0)\$

B) (- 2, 0)

C) (0, - 2)

D) \$(0, 1/10)\$

The function f is defined by \$f(x) = 7x^3\$. In the xy-plane, the graph of \$y = g(x)\$ is the result of shifting the graph of \$y = f(x)\$ down 2 units, Which equation defines function g?

A) \$g(x) = 7/2x^3\$

B) \$g(x) = 7x^(3/2)\$

C) \$g(x) = 7x^3 + 2\$

D) \$g(x) = 7x^3 - 2\$

\$x + 7 = 10\$
\$(x+7)^2 = y\$
Which ordered pair (x, y) is a solution to the given system of equations?

A) (3, 100)

B) (3, 3)

C) (3, 70)

D) (3, 10)

Which expression is \$(7x^3 + 7x) - (6x^3 - 3x)\$ equivalent to?

A) \$x^3 + 10x\$

B) \$- 13x^3 + 4x\$

C) \$- 13x^3 + 10x\$

D) \$x^3 + 4x\$

The function p is defined by \$p(n)= 7n6^3\$. What is the value of n when p(n) is equal to 56.

A) \$8/3\$

B) 2

C) 7

D) 8

In the figure shown, line c intersects parallel lines s and t. What is the value of x?

A) 70

B) 83

C) 18

D) 60

A list of 10 data values is shown. 6, 8, 16, 4, 17, 26, 8, 5, 5, 5 What is the mean of these data?

A) 30

B) 40

C) 10

D) 45

The equation \$E(t ) = 5(1.8)^t\$ gives the estimated number of employees at a restaurant, where t is the number of years since the restaurant opened. Which of the following is the best interpretation of the number 5 in this context?

A) The percent increase in the estimated number of employees each year.

B) The increase in the estimated number of employees each year.

C) The number of years the restaurant has been open.

D) The estimated number of employees when the restaurant opened.

\$g(x) = x^2 + 55\$
What is the minimum value of the given function?

A) 3,025

B) 0

C) 55

D) 110

Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

A) Decreasing exponential

B) Increasing linear

C) Decreasing linear

D) Increasing exponential

The population of Greenville increased by 7% from 2015 to 2016. If the 2016 population is k times the 2015 population, what is the value of k?

A) 1.7

B) 1.07

C) 0.07

D) 0.7

Which expression is equivalent to \$a^11/12\$. where \$a > 0\$?

A) \$root(11)(a^132)\$

B) \$root(12)(a^132)\$

C) \$root(144)(a^132)\$

D) \$root(121)(a^132)\$

An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

A) 16

B) 32

C) 20

D) 25

If \$|4x - 4| = 112\$. what is the positive value of \$x - 1\$?

A) 36

B) 28

C) 20

D) 32

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

A) 149,796

B) 164,500

C) 190,955

D) 310,800

What is the diameter of the circle in the xy-plane with equation \$(x - 5)^2 + (y - 3)^2 = 16\$?

A) 4

B) 8

C) 16

D) 32

For the exponential function f, the value of f(1) is k, where k is a constant. Which of the following equivalent forms of the function f shows the value of k as the coefficient or the base?

A) \$f(x) = 50(1.6)^(x + 1)\$

B) \$f(x) = 80(1.6)^x\$

C) \$f(x) = 128(1.6)^(x - 1)\$

D) \$f(x) = 204.8(1.6)^(x - 2)\$

A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016, there were 180 squirrels in the population. Which of the following equations represents this model, where n is the estimated number of squirrels in the population t years after the end of 2015 and t ≤ 5 ?

A) \$n = 72(1.5)^t\$

B) \$n = 180(2.5)^t\$

C) \$n = 180(1.5)^t\$

D) \$n = 72(2.5)^t\$

\$5x + 7y = 1\$
\$ax + by = 1\$
In the given pair of equations, a and b are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

A) \$10x + 7y = 1\$ \$ax + 2by = 1\$

B) \$10x + 7y = 1\$ \$ax - 2by = 1\$

C) \$10x + 7y = 1\$ \$2ax - 2by = 1\$

D) \$5x + 7y = 1\$ \$ax - by = 1\$

\$x^2 - 34x + c = 0\$
In the given equation, c is a constant. The equation has no real solutions if c n>. What is the least possible value of n?

A) 278

B) 185

C) 110

D) 289