Miscellaneous
1 = 3, 2 = 3, 3 = 5, 4 = 4, 5 = 4
6 = ?
6 = 3
A rectangle has an area of 15 square inches. What are the possible whole number values for its dimensions?
1 and 15
or
3 and 5
A = 3x2 − 5x + 6
B = −8x2 + 7t - 9
What is 2(A+B)?
-10x2 + 4t - 6
John, Mark, and Henry are three brothers. Interestingly, their current age is prime. What’s more interesting is that difference between their ages is also prime. How old are they?
Their ages are 2, 5, and 7.
Rectangle ABCD has side-lengths of 5 in and 12 in. The rectangle also has a diagonal line from point A to point C. What is the length, in inches, of line AC?
13 in
Which line contains the points (1, -1) and (3, 5)?
A) -2y -6x = 0
B) 2y = 6x - 8
C) y = 3x + 4
D) y = -3x + 4
B) 2y = 6x - 8
What single digit appears most frequently between and including the numbers 1 and 1,000?
1
A rectangular fence has a length 3 meters more that its width and a perimeter equal in value to its area. What is the length and width of the fence?
Width = 3 m
What is the equation of a line that crosses the points (4, 1) and (-2, 10) in slope-intercept form?
y = -3/2x + 7
What three numbers are equal to their cubes? (x = x3)
0, 1, and -1
A 25-foot telephone pole casts a 10-foot shadow. At that same time, how high would a tree have to be in order to cast a 25-foot shadow?
62.5 feet
7x2 + x - 4 = 0
Solve for x.
(−1 ± sqrt(113))/14
There are twelve kids in a classroom all wearing either red, blue, or green outfits. Six kids are wearing red and 4 are wearing blue. Three kids are wearing both red and blue. How many are wearing green?
5 kids are wearing green.
What is the number of sides of a polygon in which the sum of the degree measures of the interior angles is 4 times the sum of the degree measures of the exterior angles?
10
(n-2)180 = 4 x 360
Solve for x, y, and z in the following:
3x + 2y - 5z = -14
2x - 3y + 4z = 10
x + y + z = 4
x = 3
y = 0
z = 1