Determining a value for x using absolute value notation.

|x-4| + |x| = 8 what is the sum of the possible value(s) of x?

Slope of a line

If the lines ax-y=6 and 4x+(a+4)y=-6 are parallel, what is a=?

Digits and modular arithmetic

What is the ones digit of the number (23)^23?

Powers

Write a in terms of b for: a=(9^x) + 5 b= 3-(3^x)

Modular arithmetics

What is (6^6)+(6^5) in (mod5)?

Re-arranging the Equation & Isolating a Variable.

See attached file. The attached equation needs to be re-arranged such that the variable S is isolated (on the left side of the equation - eg: S=....).

Finding the vertex and axis symmetry

Determine the vertex and axis of symmetry of each quadratic equation y=x^2-4x+1 y=1/2x^2-6x-2 y=2x^2-5

Plot Graph

Please explain how to make a plot graph

Roots and polynomials

If z is an n-th term of 1, show that 1+z+z^2+z^3+....+z^n-1=0. Solve the equation with n=5 and hence factorize 1+z+z^2+z^3+z^4 into linear factors with complex coefficient and then into quadratic factors with real coefficients.

Polynomials and Monomials

What is 3n(8n to the 2nd power-2n)? How did you get this?