Introduction to algebra ii summary:

The algebra ii is the next level of algebra i. The algebra i is the basic algebra and the algebra ii is the intermediate algebra. Quite often we use to solve simple equations in algebra i. Algebra ii deals with substitution of letters for numbers and simplification steps to solve the given equations. There are various topics involved in algebra ii.

 

Various topics involved (algebra ii summary)

 

  • Equations and Inequalities,
  • Linear Equations and Functions,
  • Linear Systems and Matrices,
  • Quadratic Functions and Factoring,
  • Polynomials and Polynomial Functions,
  • Rational Exponents and Radical Functions,
  • Exponential and Logarithmic Functions,
  • Rational Functions,
  • Quadratic Relations and conic Sections,
  • Counting Methods and Probability,
  • Data Analysis and Statistics,
  • Sequences and Series,
  • Trigonometric Ratios and Function.

 

Algebra II Summary:

 

The following are the few important topics in algebra ii,

Trigonometric Ratios and Function  summary:

  • cos (A - B) = (cos A)(cos B) + (sin A)(sin B)
  • cos (A + B) = (cos A)cos B - (sin A)sin B
  • sin (A + B) = (sin A)(cos B) + (cos A)(sin B)
  • sin (A - B) = (sin A)(cos B) - (cos A)(sin B)
  • tan (A + B) = (tan A + tan B)/(1 - (tan A)(tan B))
  • tan (A - B) = (tan A - tan B)/(1 + (tan A)(tan B))

 

Equations and Inequalities summary:

  • The Addition operation says that, a = b, a + c = b + c for any number c.
  • The Multiplication operation says that, a = b and c is any number, a * c = b * c.
  • Addition operation for the Inequalities - If a > b then a + c > b + c.
  • The multiplication operation for the Inequalities - If a >b and c is positive, then ac > bc.  If a > b and c is negative, then ac < bc.
  • If X is expression, and b positive number, and |X| = b it is the same as |X| = b or |X| = -b.
  • If X is expression, and b positive number, and |X| < b it is the same as -b < X < b.
  • If X is expression, and b positive number, and |X| > b it is the same as X < -b, X > b.

 Functions and Factoring Quadraticsummary:

  • In an equation like ax2 + bx + c = 0.You can solve for x the Quadratic Formula:                    

                           -b±√b^2-4ac/2a.

Polynomials and Polynomial Functions summary:

  • (a + b)1 = a + b
  • (a + b)2 = a2 + 2ab + b2
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 
  • a2 - b2 = (a - b)(a + b)