Supplementary Course Module A: Simplifying Numeric Expressions
Assignment 1 Integers & Fractions Integers: An integer is a natural number which has a descriptive ( either a + or a ) attached to it. Thus, the + and symbols can have two meanings, depending
Supplementary Course Module B: Algebraic Expressions
Assignment 2 Arithmetic of Algebraic Expressions Adding / Subtracting Algebraic Expressions: Only like terms may be added or subtracted, by performing the corresponding operation on the coefficients. ex
Supplementary Course Module D: Solving Equations & Inequalities
Assignment 1 Polynomial Equations An equation is a statement of equality between two expressions, and may involve one or more variables. A particular choice of value for the variable(s) which
Supplementary Course Module G: Exponentials and Logarithms
Assignment 3 Exponential/Logarithmic Functions Since the value of ax is de ned and unique for all x 2 R, this means x ! ax is a function, typically called the exponential function base a, and deno
Supplementary Course Module G: Exponentials and Logarithms
Assignment 1 Simplifying Exponential/Logarithmic Expressions Exponential and Logarithmic Operations Consider the seemingly innocent enough numerical expression, 32 . There are two different ways o
Supplementary Course Module D: Solving Equations and Inequalities
Assignment 3 Systems of Equations; Inequalities Solving Systems of Equations To solve a system of two equations in two variables, say x and y , we are looking for all pairs of values (x; y
Supplementary Course Module D: Solving Equations and Inequalities
Assignment 2 Equations Containing Rational, Root, or Absolute Value Expressions Solving Equations Containing Rational Expressions The general method used involves multiplying both sides of
Supplementary Course Module C: Rational Expressions
Assignment 2 Arithmetic of Rational Expressions Multiplication/Division of Rational Expressions When applying arithmetic operations to rational expressions, we rst try factoring to simplify the expressio
Supplementary Course Module C: Rational Expressions
Assignment 1 Simplifying Rational Expressions Factoring: A rational expression may be able to be simpli ed if the numerator and denominator can be expressed as a product of factors. Any factor that is co
Supplementary Course Module B: Algebraic Expressions
Assignment 1 De nitions and Laws of Exponents Terminology: Algebra uses symbols [ usually letters ] to represent quantities which are unknown or which can vary. A term is made up of a coefficient [ a re
Supplementary Course Module A: Simplifying Numeric Expressions
Assignment 3 Order of Operations; Number Systems Order of Operations: When evaluating an expression involving more than one arithmetic operation, the evaluation must be carried out following a
Supplementary Course Module B: Algebraic Expressions
Assignment 3 Factoring Factoring: Factoring can be thought of as the opposite of distributing. For example, 5a (2b + 3c) = 10ab + 15ac by use of the distributive law, while 10ab + 15ac = 5a (2b + 3c) by