Theme: Real Numbers...
  • Prove that the inequality x(x+ 1)(x+ 2)(x+ 3) ≥ −1 holds for all real numbers x.
  • What is the difference between a prime number and a complex number?
  • Over the summer a bunch of math teachers from different schools got together for a BBQ. Not one of the teachers knew each other and greets each other with a hearty handshake. How many handshakes will occur at the party if every one of the 15 math teachers shakes hands with each of the others? show work
  • What is the parallel to the line x=15 and contains the point (-1,5)
  • What specific properties are these? A. 3+(5+9)+6=5(9+6)+3 B. 3 x 4 x 5= 4 x 3 x 5
  • The general equation of a plane is Ax + By + Cz = D, where A, B, C, and D are real numbers and A is nonnegative. Find the equation of the plane containing the points (2, 0, 0), (0, 6, 0), and (0, 0, 5). Show each step of your process. Then graph the plane.
  • Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be modeled as a function of the number of people in attendance, x. If each ticket costs $161, find the domain and range of this function.
  • 12. Solve the equation. 5x – 4 = 5(x – 3) + 11 (1 point)
  • What does this equal? 6(x+1)+5=13-2+6x
  • Scan domain, range and graph of the following functions:
  • If the discriminant of a quadratic equation is 4, which statement describes the roots? A ) There are two complex roots. B ) There are two real roots. C ) There is one real root. D ) There is one complex root.
  • Solve the equation 2a+b=2a, where a and b are nonzero, real numbers. Describe the solution to this equation and justify your description.
  • Suppose you want to solve the equation 2a+b=2a where a and b are nonZero real numbers describe the solution to this equation justify you description
  • What is the simplified form of 3abc/abc, when abc does not equal zero? Explain using the properties of real numbers.
  • Write 4x24 as distributive property
  • Suppose you want to solve the equation 2a b=2a where a and b are nonZero real numbers describe the solution to this equation justify you description
  • If you plot the point -8.85 on number line, would you place it to the left or right of -8.8? Explain.
  • Express the number 20000 as a single digit integer times a power of 10
  • The product of two numbers is the same as one of the factors. How can you use properties of multiplication to determine what the the factors are?
  • Which complex number has a distance of the square root of 17 from the origin on the complex plane?