ALGEBRA
Word Problems and Applied Math Problems
Mathlish
-translating from English to Math, illustrated
by six types of word problems
Various Notations and Descriptions
-denoting sets of graphs, set notation, verbal description, interval notation
General Approach to Word (Story) Problems
-suggestions for solving problems and collection
of typical word problems
Word Problems with Rectangles (Linear Equations)
-word problems about the perimeter of a rectangle
Word Problems and Rectangles (using quadratic equations)
-word problems about area and perimeter of
a rectangle
Applications of Mathematics to Chemistry
-explanation of a mole and examples of determining
mass.
Algebraic Manipulations and Solving Equations
The Joy of Exponents (lower level)
-simplifies expressions with whole number
exponents, justifying each step
The Joy of Exponents (upper level)
-simplifies expressions with integral and
rational exponents, justifying each step
Definitions and Properties of Exponents (1/2 sheet)
-four definitions and five properties of exponents;
scientific notation
Literal Equations
-solving for one unknown in terms of other
unknowns
Solving Systems of Linear Equations by Substitution and Elimination
Method
-two examples of pairs of linear equations
solved by both methods
Distributive Property; Removing Parentheses and Combining
Like Terms
-demonstrates multiplying a polynomial by
a monomial and simplifying result
Multiplying Polynomials
-uses distributive law to demonstrate polynomial
multiplication
Factoring Two-termed Expressions
-shows factoring out common factor of two
and three term polynomials
Reducing to Lowest Terms
-illustration and problems of reducing ratios
of polynomials
Addition and Subtraction of Rational Expressions
-illustration and problems of adding and subtracting
rational expressions
Multiplication and Division of Rational Expressions
-illustration and problems of multiplying
and dividing rational expressions
Solving Rational Equations
-solves rational equations; all work involves
only linear equations
Solving Quadratic Equations by Factoring
-explanation and problems of solving quadratic
equations by factoring
Directions for Rational Expressions
-summarizes reducing, multiplying, dividing,
adding, subtracting, and solving
Factoring Polynomials of the form ax^2 + bx + c
-demonstrates factoring trinomials by trial
and error (inspection) method
Two Methods for Factoring Quadratic Trinomials
-presents A-C and cross methods for factoring ax^2 + bx + c
The Quadratic Formula
-uses the quadratic formula to solve quadratic
equations
Introduction to Square Roots
-defines square root and gives list of square
roots of numbers from 0 to 169
Simplifying Radicals
-collection of problems requiring exact and
approximate simplifications
Solving Three Equations with Three Unknowns
-schematic to show general process, example,
and problems
y = mx + b
-demonstration of using slope-intercept form
to solve variety of a problems
Math Learning Center, Shoreline Community College
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