MTH220 College Algebra Course – University of Phoenix #mth220 #college #algebra, #mth220 #college #algebra #course, #mth220 #college #algebra #classes


College Algebra

topic title goes here

Graphing, the Distance Formula, and Circles

  • Write the standard form of a circle’s equation.
  • Perform operations on functions.
  • Graph rational functions.
  • Identify functions behavior as increasing, decreasing, or constant.
  • Solve problems involving a function’s zeros, maximum, or minimum values.
  • Graph polynomial functions.
  • Perform transformations on a given graph.
  • Find the distance between two points.
  • Find the midpoint of a segment.

Exponential and Logarithmic Functions

  • Apply properties of logarithms.
  • Identify types of symmetry and asymptotes, given a function and a graphing calculator.
  • Solve exponential functions.
  • Solve logarithmic functions.
  • Identify graphs of exponential and logarithmic functions.
  • Convert between exponential and logarithmic forms.
  • Solve real-world applications using exponential and logarithmic functions.

Systems of Equations and Matrices

  • Solve systems of linear equations.
  • Distinguish between linear and nonlinear systems of equations.
  • Solve systems of nonlinear equations.
  • Perform operations on matrices.
  • Solve systems of linear inequalities with graphing.
  • Use matrices and Gaussian elimination to solve systems.

Sequences and Series

  • Find terms of a sequence from the general term.
  • Solve factorial notation problems.
  • Solve recursion formula problems.
  • Solve application problems involving a series.
  • Find a general term given the terms of a sequence.
  • Find the sum of the first n terms of a sequence.

Counting Methods and Probability

  • Use the multiplication principle to solve counting problems.
  • Solve permutation problems.
  • Solve combination problems.
  • Solve probability problems.

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Adding like terms – A complete course in algebra #algebra, #add #like #terms, #coefficient #



W HEN NUMBERS ARE ADDED OR SUBTRACTED. we call them terms. (Lesson 1.) Like terms look exactly alike, except perhaps for a numerical factor. which is called the coefficient of the term.

Here is a sum of like terms:

Each term has the same literal factor. x ; only the coefficients are different. The coefficient of x in the first term is 4. The coefficient in
the second term is 5. We include the minus sign. See Naming terms in Lesson 3. And in the last term, the coefficient of x is understood to be 1. For, x = 1x . (Lesson 6 .)

Here, on the other hand, is a sum of unlike terms:

What number is the coefficient of x ?

To see the answer, pass your mouse over the colored area.
To cover the answer again, click “Refresh” (“Reload”).

What number is the coefficient of xy. 2

What number is the coefficient of y ? 1

Actually, the coefficient of any factor is all the remaining factors. Thus in the term 4ab. the coefficient of a is 4b ; the coefficient of 4a is b ; and so on. In this term —
x (x 1) — the coefficient of (x 1) is x .

Adding like terms

— the like terms are 2x and 4x. 3y and 5y .

What do we do with like terms? We add, or combine, them:

That is, we add (Lesson 3 ) their coefficients. The order of the terms does not matter.

Problem 1. 6x 4y z

a) What number is the coefficient of x. 6

b) What number is the coefficient of y. 4

c) What number is the coefficient of z. 1. z = ( 1) z. Lesson 6.

Problem 2. What number is the coefficient of x ?

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