Becky, Lia, and Marian are friends who all live in the same neighborhood. Becky lives 5 miles north of Lia, and Marian lives 12 miles east of Lia. How many miles away do Becky and Marian live from each other?
13 miles
100
A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular-shaped garden. How many feet in length are each of the sides of the new square-shaped garden?
12 feet
100
If sin α = 12/13 , and cosα = 5/13 , then tanα = ?
12/5
200
Four students about to purchase concert tickets for $18.50 for each ticket discover that they may purchase a block of 5 tickets for $80.00. How much would each of the 4 save if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block?
$2.50
200
For the complex numbers (2 + i) and (5 – i), simplify the product
(2 + i)(5 – i)
11+3i
200
What is the slope of the line given by the equation 6x-9y+27=0?
2/3
200
Janet is filling in a patch of lawn with sod. The patch is in the shape of a parallelogram. The length of the patch is 8 feet and its width is 6 feet. One of the interior angles measures 120 degrees. How many square feet of sod will Janet need to completely fill the patch? (Leave your answer in simplest radical form.)
24sqrt(3)
200
In right triangle ABC, the length of AB is 13 ft, the length of BC is 5 ft, and the length of AC is 12 feet. To the nearest whole degree, what is the measure of angle A?
23
300
In scientific notation, 20,000 + 3,400,000 = ?
3.42 × 10^6
300
If (x – 5) is a factor of 2x^2 – 7x + k, what is the value of k ?
-15
300
In the standard (x, y) coordinate plane, the midpoint of AB is (4, -3) and A is located at (1, -5). If (x, y) are the coordinates of B, what is the value of x+y?
6
300
A rectangular box with a base 2 inches by 6 inches is 10 inches tall and holds 12 ounces of breakfast cereal. The manufacturer wants to use a new box with a base 3 inches by 5 inches. How many inches tall should the new box be in order to hold exactly the same volume as the original box? (Note: The volume of a rectangular box may be calculated by multiplying the area of the base by the height of the box.)
8 in
300
If 0° < x° < 90° and sin x = 1/2 , then cos x = ?
sqrt(3)/2
400
This year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaining class members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses?
10%
400
The following system of equations would have an infinite number of solutions for which value of b?
3x – 2y = 4
12x – 4by = 16
b=2
400
A deer walks in a straight line for 8 hours. At the end of its journey, the deer is 30 miles north and 40 miles east of where it began. What was the average speed of the deer?
6.25 mph
400
One-half of the measure of the supplement of angle ABC is equal to twice the measure of angle ABC. What is the measure, in degrees, of the complement of angle ABC?
54
400
In triangle ABC, if the length of segment BC is 12 cm and the sine of angle A is 4/5, how long is segment AB?
9 cm
500
If the total cost of x apples is b cents, write an expression for the cost of y apples in terms of x, b, & y.
by/x
500
Ten players from the high school soccer team and 8 players from the football team donate money for a senior class gift. The soccer players each donated half as much as each football player and together they raised $260. How much did each football player donate?
$20
500
In the standard (x, y) coordinate plane, a circle is inscribed in a square with vertices (-2, -5), (-2, 1), (4, -5) and (4, 1). Which of the following is an equation of the circle?
(x-1)^2+(y+2)^2=9
500
A student creates a challenge for his friend. He first draws a square, then adds the line for each of the two diagonals. Finally, he asks his friend to draw the circle that has the most intersection points possible. How many intersections will this circle have?
12
500
What is the smallest positive value for x where y = sin 2x reaches its maximum?