If x + y = 2y - 3, what is the value of x-2 in terms of y?
y - 5
100
The perimeter of equilateral triangle ABC is 3 times the perimeter of equilateral triangle DEF. If the perimeter of ∆DEF is 10, what is the length of one side of ∆ABC?
10
100
A company's old machine makes 300 bolts per hour. Its new machine makes 450 bolts per hour. If both machines begin running at the same time, how many minutes will it take the two machines to make a total of 1000 bolts?
80 minutes.
100
If x ¤ y = (x + y)² - (x - y)²
Then, 5 ¤ 5 =
100
200
If the average of x and 3x is 12, what is the value of x?
6
200
If (2x - 5)(2x + 5) = 5, what is the value of 4x²?
30
200
Point P lies on the line with equation y - 4 = 3(x - 2). If the x-coordinate of P is 4, what is the y-coordinate of P?
10
200
Flying at a constant speed, a bird traveled 60 miles in 5 hours. At this rate, how many miles did the bird travel in 1.5 hours?
18
200
If x ¤ y = (x + y)² - (x - y)²
Then √5 ¤ √5 =
20
300
When the positive integer v is divided by 5, the remainder is 2. What is the remainder when v-3 is divided by 5?
4
300
If a + 2b is equal to 125 percent of 4b, what is the value of a/b?
3
300
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
5 pi
300
10 pints of a 20 percent solution of juice in water are mixed with 30 pints of a 10 percent juice in water solution. The percentage juice in the new solution is
12.5
300
Stem group solves Sat problems from 5 to 212 (inclusive). How many questions do they solve?
208
400
The 1st of a sequence is 20 and the 2nd term is 8. Each term is the average of the two terms preceding it. What is the value of the first term in the sequence that is NOT an integer?
12.5
400
If k is a constant and 2x + 5 = 3kx + 5, what is the value of k?
2/3
400
What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?
root 41
400
In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2. How many pounds of cashews will there be in 28 pounds of this mixture?
8
400
If the slope of a line is ½ and the y-intercept is 3, what is the x-intercept of the same line?
-6
500
If an object travels at 5 feet per second, how many feet does it travel in one hour?
18000
500
When the number w is multiplied by 4, the result is the same as when 4 is added to w? What is the value of 3w?
4
500
What is the number of degrees that the hour hand of a clock moves through between noon and 2.30?
75
500
If the length of a rectangle is increased by 30% and the width of the same rectangle is decreased by 30%, what is the effect on the area of the rectangle? (increase/decrease by how much??)