Solve 9(x - 3) + 5 = 3x
x = 11/3
Suppose a rectangle has area 60. If one of the sides is 6 units long, what is the length of a diagonal of the rectangle?
13
Suppose two 6-sided dice are rolled. What is the probability the sum of the rolls is 7?
1/6
Shauna takes five tests, each worth a maximum of points. Her scores on the first three tests are , , and . In order to average for all five tests, what is the lowest score she could earn on one of the other two tests?
48
In , , and . What is the area of ?
420
The third-grade class at Lincoln Elementary School has students. Each student takes a math class or a foreign language class or both. There are third graders taking a math class, and there are third graders taking a foreign language class. How many third graders take only a math class and not a foreign language class?
39
Three positive integers are equally spaced on a number line. The middle number is and the largest number is times the smallest number. What is the smallest of these three numbers?
6
Point is the center of the regular octagon , and is the midpoint of the side What fraction of the area of the octagon is shaded?
7/16
On a beach people are wearing sunglasses and people are wearing caps. Some people are wearing both sunglasses and caps. If one of the people wearing a cap is selected at random, the probability that this person is also wearing sunglasses is . If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
4/7