The exercises cover a range of topics in mathematics, including algebra, geometry, trigonometry,
calculus, and statistics.
Algebra:
Solve the equation: 3x + 5 = 14
Factor the expression: x^2 + 6x + 8
Solve the system of equations: 2x + y = 5 and x - y = 1
Simplify the expression: (3x^2 - 2x^3) / x^2
Solve the quadratic equation: x^2 - 6x + 9 = 0
Solve the inequality: 2x - 3 > 5x + 1
Find the value of x that makes the expression: 2x + 4 equal to 12
Simplify the expression: 2(x + 3) - 3(x - 4)
Solve the system of equations: 3x + 2y = 8 and 2x - 4y = -2
Factor the expression: 4x^2 - 12x - 16
Geometry:
, Find the area of a triangle with base 6 and height 8
Find the perimeter of a rectangle with length 12 and width 8
Find the volume of a cube with edge length 4
Find the surface area of a sphere with radius 3
Find the length of the hypotenuse of a right triangle with legs of length 5 and 12
Find the perimeter of a regular pentagon with side length 6
Find the area of a trapezoid with bases 8 and 12 and height 5
Find the circumference of a circle with radius 7
Find the length of a diagonal of a rectangle with length 10 and width 8
Find the volume of a cylinder with radius 4 and height 6
Trigonometry:
Find the sine of an angle whose opposite side is 4 and hypotenuse is 5
Find the cosine of an angle whose adjacent side is 6 and hypotenuse is 10
Find the tangent of an angle whose opposite side is 3 and adjacent side is 4
Find the angle whose sine is 0.6
Find the angle whose cosine is 0.8
Find the angle whose tangent is 0.75
Find the length of a side in a right triangle given an angle and the length of another side
Use the law of sines to find a missing side in a triangle
Use the law of cosines to find a missing side or angle in a triangle
Find the area of a triangle given two sides and the included angle
Calculus:
Find the derivative of f(x) = x^3 - 3x^2 + 2x - 5
calculus, and statistics.
Algebra:
Solve the equation: 3x + 5 = 14
Factor the expression: x^2 + 6x + 8
Solve the system of equations: 2x + y = 5 and x - y = 1
Simplify the expression: (3x^2 - 2x^3) / x^2
Solve the quadratic equation: x^2 - 6x + 9 = 0
Solve the inequality: 2x - 3 > 5x + 1
Find the value of x that makes the expression: 2x + 4 equal to 12
Simplify the expression: 2(x + 3) - 3(x - 4)
Solve the system of equations: 3x + 2y = 8 and 2x - 4y = -2
Factor the expression: 4x^2 - 12x - 16
Geometry:
, Find the area of a triangle with base 6 and height 8
Find the perimeter of a rectangle with length 12 and width 8
Find the volume of a cube with edge length 4
Find the surface area of a sphere with radius 3
Find the length of the hypotenuse of a right triangle with legs of length 5 and 12
Find the perimeter of a regular pentagon with side length 6
Find the area of a trapezoid with bases 8 and 12 and height 5
Find the circumference of a circle with radius 7
Find the length of a diagonal of a rectangle with length 10 and width 8
Find the volume of a cylinder with radius 4 and height 6
Trigonometry:
Find the sine of an angle whose opposite side is 4 and hypotenuse is 5
Find the cosine of an angle whose adjacent side is 6 and hypotenuse is 10
Find the tangent of an angle whose opposite side is 3 and adjacent side is 4
Find the angle whose sine is 0.6
Find the angle whose cosine is 0.8
Find the angle whose tangent is 0.75
Find the length of a side in a right triangle given an angle and the length of another side
Use the law of sines to find a missing side in a triangle
Use the law of cosines to find a missing side or angle in a triangle
Find the area of a triangle given two sides and the included angle
Calculus:
Find the derivative of f(x) = x^3 - 3x^2 + 2x - 5
