Mathematics

Algebra

200

x+12=30

x=18

400

Solve for x 

4x-5=2x+7

x=6

600

2x²+5x-3=0

x=1/2

x=-3

800

x+y=10

2x-y=5

x=5

y=5

Geometry

200

In a right-angled triangle ABC, the angle at vertex A is 35 degrees. What is the measure of the missing interior angle at vertex C?

55 degrees

400

Pythagorean Theorem 

A rectangular park has a length of 12 meters and a diagonal distance of 15 meters. How wide is the park?

9 meters

600

A 13-foot ladder leans against a vertical wall. The base of the ladder is placed 5 feet away from the bottom of the wall. How high up the wall does the ladder reach?

12 feet

800

A computer monitor screen is 4 inches tall and 3 inches wide. What is the diagonal length of the screen?

5 inches

Calculus

200

limit as x approaches 3 at (2x²-5x+2)

5

400

Find the derivative of f(x)=5x⁴-3x²+7

f'(x)=20x³-6x

600

find the indefinite integral of f(x)=3x²+4x

x³+2x²+C

800

solve for the integral of 2x(x²+1)³

1/4(x²+1)⁴+C

Bonus

200

2+2

4

400

10-3

7

600

6x3

18

800

30 divided by 5

6