A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
$408.04
What is the equation, in standard form, of the line that passes through (−5,6) and has a slope of 2?
−2x + y = 16
The altitude to the hypotenuse of right triangle ABC divides the hypotenuse into segments of 9 cm and 16 cm. What is the length, in centimeters, of the longer leg of ABC?
20
Katerina runs 15 miles in 2 1/2 hours. What is the average number of minutes it takes her to run 1 mile?
10
Rosa can wash 15 cars in 6 hours. If Joel and Tony help Rosa and work at the same rate as she does, how many hours will it take them to wash 15 cars?
2
What is the greatest common factor of 42, 126, and 210?
42
What point is the x-intercept of the graph of the function f(x) = −x2 + 4x − 4?
(2,0)
Maria’s father is 10 years younger than 3 times Maria’s current age. In 5 years, his age will be 5 years more than 2 times her age. Which equation can be used to find Maria’s current age?
3x − 10 = 2x + 10
A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. How many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5 ?
16
When a student subtracts 18 from a number, the result is 1/4 of the number. What is the number?
24
How many irrational numbers are there between 1 and 6?
Infinitely many
What is the completely simplified form of 5√ _ 7 − √ _ 63 + 7√ _ (21)(3) ?
23 Square root of 7
When x = 2, 10 + 3(12 ÷ (3x)) = ?
16
In the standard (x,y) coordinate plane, the point (2,1) is the midpoint of CD. Point C has coordinates (6,8). What are the coordinates of point D ?
(−2, −6)
Solve the equation 12x2 − 2x = 4
x = 2/3 or −1/2
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
What is the value of √ _ 4x3 when x = 9?
54
⎪6 − 4⎪ − ⎪3 − 8⎪ = ?
-3
What is 3% of 4.14 × 104 ?
1,242
The height of a triangle is 16 inches greater than 8 times the length of its base. If the area of the triangle is 60 in2 , what is the length of the base in inches?
3
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
54 Pounds
What are the solutions to the equation ⎪2x + 4⎪ = 12 − ⎪x − 5⎪?
−11/3 and 3
The expression (4c − 3d)(3c + d) is equivalent to:
12c2 − 5cd − 3d2
What value of x satisfies the equation −3(4x − 5) = 2(1 − 5x) ?
13/2
Which point lies on the locus of points equidistant from (2,3) and (−5,3)?
(−1.5,6)