Algebra
10x=90
x=9
y=2x+5 at x=3
11
The measure of two angles in a triangle is 35 degrees and 45 degrees. What is the measure of the third angle?
100 degrees
Formula for the area of a triangle
1/2 x base x height
One square has a perimeter of 40 inches. A second square has a perimeter of 36 inches. What is the positive difference in the areas of the two squares?
19 square inches
What is the midpoint of the line segment formed by the points (2,4) and (4, 6)?
(3,5)
y=x2-2x+4 at x=3
7
What is the sum of all positive integers from 1 to 10, inclusive, that are neither multiples of 2 or perfect squares?
16
Number of sides an octagon has
8
In 30 years, Austin will be 4 times as old as he is now. How is he now?
10 years old
5a+2b-a+3b
4a+5b
3651(x+2)-8 at x=2
14,596
7.6 x 4.8
36.48
Formula for volume of a sphere
(4/3)(pi)(r)3
Luke purchases 10 tomatoes for $12.30. At this rate, how much will it cost for 17 tomatoes?
$20.91
V=bdt
Solve for d.
d= v/(bt)
Find the derivative of f(x)=x2+3x+1
f'(x)=2x+3
Which whole number is closest to the square root of 10.5?
3
How many diagonals does a quadrilateral have?
2
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the smallest integer in the set?
131
The ratio of the height of two buildings is 7 to 5. The first building is 210 feet tall. How tall is the second building?
150 feet
4cos(x)-7 at x=0
-3
What is the sum of all the integers between 1 and 100, inclusive?
5,050
Number of sides in a dodecagon
12
Among all of the three-digit integers from 100 to 400, how many have exactly one digit that is an 8?
54