Algebra
Solve for x; 4(2x−3)=3x+17
x = 5
What is the median of this data set: 4, 7, 7, 9, 10, 12, 15, 16?
9.5
A right triangle has legs of 9 cm and 12 cm. What is the hypotenuse?
15 cm
A fair six-sided die is rolled twice. What is the probability that the sum is exactly 7?
1 in 6
Which two states are the only states that border exactly eight other states?
Tennessee and Missouri
If 2x+3y=17 and x−y=1, what is x+y?
7
What is the mode of this data set: 4, 7, 7, 9, 10, 12, 15, 16?
7
A circle has a circumference of 20π cm. What is its area?
100π cm
A bag contains 5 red, 3 blue, and 2 green marbles. One marble is selected at random. What is the probability that it is not blue?
7 in 10
Which U.S. state has the longest coastline?
Alaska
The equation x2−11x+28=0 has two solutions. What is the difference between the two solutions?
3
What is the range of this data set: 4, 7, 7, 9, 10, 12, 15, 16?
12
The interior angles of a quadrilateral are in the ratio 2:3:4:6. What is the measure of the largest angle?
144o
A fair coin is flipped 4 times. What is the probability of getting at least 3 heads?
5 in 16
Name the four states whose names begin and end with the same letter.
Alabama, Alaska, Arizona, Ohio
Solve: (x+2)/3 - (x-1)/4 = 5
Answer: x=49
What is the mean of this data set: 4, 7, 7, 9, 10, 12, 15, 16?
10
A square has a diagonal of 10sqrt{2}cm. What is its area?
100 cm2
A class has 10 boys and 15 girls. Two students are randomly selected without replacement. What is the probability that both students are girls?
7 in 20
Which state is the only state that borders four of the five Great Lakes?
Michigan
If x+1/x=5, what is x3+1/x3?
110
Five test scores have a mean of 84. Four of the scores are: 72, 81, 89, 94. The fifth score is then replaced by a new score that is 10 points higher. What is the new mean?
86
A rectangle has a perimeter of 50 cm and an area of 150 cm². A diagonal is drawn from one corner to the opposite corner. What is the exact length of the diagonal?
5sqrt{13}cm
Two fair six-sided dice are rolled. What is the probability that the product of the two numbers is a perfect square?
2 in 9
Starting in Maine, you want to reach Washington while traveling only through states that share a land border with the next state. What is the fewest number of states you must pass through, including Maine and Washington?
6