Algebra
Solve:
If x2 + y2=25 and x=3, what is y?
y=±4
What is the area of a triangle with base of 10 and height of 4?
20
A car travels 60 miles in 45 minutes.
What is its average speed in miles per hour?
80 mph
What is the determinant of
| 1 2 |
| 3 4 |
-2
Find the next number:
1, 1, 2, 3, 5, 8, 13, ___
21
Solve for x:
x2-16=0
x=±4
What is the volume of a cube with a side length of 3?
27
A bacteria population doubles every 3 hours.
If you start with 100 bacteria, how many are there after 9 hours?
800
What is the magnitude of the vector (3,4)?
5
Find the next number:
1, 4, 13, 40, 121, ___
364
Factor:
x2+5x+6
(x+2)(x+3)
What is the circumference of a circle with a radius of 7?
14π
A 10-ft ladder leans against a wall.
The base of the ladder is 6 ft from the wall.
How high up the wall does the ladder reach?
8 ft
If vectors are orthogonal, what is their dot product?
0
Find the next number:
3, 5, 11, 21, 43, ___
85
Solve for x:
2x=16
x=4
What is the area of a circle with radius 5?
25π
You deposit $1000 in a bank account with 5% annual compound interest.
How much money will you have after 2 years?
$1102.50
What is the eigenvalue of the matrix?
|2 0|
|0 2|
2
Find the next number in the sequence:
2, 6, 12, 20, 30, ___
42
Solve the system:
x+y=10x
x−y=2
x=6, y=4
What is the volume of a sphere with a radius of 3?
36π
A cylindrical water tank has radius 2 m and height 5 m.
How many cubic meters of water does it hold?
20π cubic meters
What is the rank of the identity matrix I3?
3
Find the next number:
1, 2, 6, 24, 120, ___
720