A car averages 27 miles per gallon. If gas costs $4.04 per gallon, how much would the gas cost for this car to travel 2,727 typical miles?
What is $408.04
What is the value of x when 2x + 3 = 3x – 4 ?
x = 7
In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
equal
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
4
Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.
Salads: cole slaw, lettuce, potato
Soups: onion, tomato
Sandwiches: meat loaf, chicken, hamburger, ham, tenderloin
Drinks: milk, cola, coffee, tea
How many different daily lunch specials are possible?
120
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
What is 14?
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
18
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
l = 2w - 3
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
15
What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?
3/8
What is the greatest common factor of 42, 126, and 210 ?
42
Factor the polynomial 2x2 – 3x – 5 ?
(2x - 5)(x + 1)
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
110 degrees
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?
2
The distribution of Jamal’s high school grades by percentage of course credits is given in the circle graph below. What is Jamal’s grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?
3.6
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
16 million dollars
If n = 8 and 16 • 2m = 4n – 8, then m = ?
-4
In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?
(3, -7)
What is the slope of any line parallel to the line 9x + 4y = 7 ?
-9/4
A certain company has 120120 employees, 8585 of whom have business degrees. Of the employees with business degrees, 7575 are certified public accountants (CPAs). There are 1414 employees who are not CPAs and also do not hold a business degree. One employee of the company will be selected at random to be interviewed for a television news program. What is the probability that the selected employee will be a CPA ?
(Note: A business degree is NOT required to be a CPA.)
96/120
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
1250 gallons per minute
A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve?
122
Which of the following is the sine of angle A in the right triangle below?
12/13
A circle has a circumference of 16 feet. What is the radius of the circle, in feet?
8
The average weight of Juan, Jim, and Malik is exactly 160160 pounds. The average weight of Juan, Jim, Malik, and Harry is exactly 150150 pounds. How many pounds does Harry weigh?
120