Multiplying and Dividing Signed NumbersRules for Multiplying/Dividing:Multiplying The product of two numbers with the same signs is positive.The product of two numbers with different signs is negative. Examples: (+2) x (+9) = +18 (-7) x (-8) = +56 (-5) …

Order of Operations and Evaluating ExpressionsOrder of Operations When a numerical expression involves two or more operations, there is a specific order in which these operations must be performed. When evaluating an expression, proceed in this order: pa…

Multiplying and Dividing Algebraic FractionsMultiplication and division of algebraic fractions is actually an extension of reducing fractions, except that now there are two fractions in the problem instead of just one.Steps to Multiplying Algebraic Frac…

Subtracting Signed NumbersRule for Subtracting: You can subtract a number by adding its opposite.When subtracting two numbers, change the sign of the number being subtracted and then follow the rules for adding signed numbers. (Subtracting a number is a…

Reducing Algebraic FractionsSteps to Reducing Algebraic Fractions:Determine the domain of the expression, looking for zero denominator problems. Factor the numerator and denominator, looking for common factors. Identify the factors of 1, and write the f…

Using Signed Numbers to Represent Opposite Situations Positive and negative numbers can represent or describe many different situations which demonstrate the concept of opposites:Numbers on a number line: + 3 is 3 units to the right of 0, while -3 is 3 …

Adding Signed NumbersRules for Adding:When you add two numbers with the same signs,add the absolute values, andwrite the sum (the answer) with the sign of the numbers. Examples: (+5) + (+7) = +12 (-6) + (-8) = -14 (9) + (5) = 14When you add two numbers …

Undefined Algebraic FractionsA fraction is said to be undefined (or have no meaning) when the denominator = 0. Consider:Solution: determine when the denominator equals 0. Set the denominator = 0 and solve. The NUMERATOR IS IGNORED. It is only necessary …

Dividing PolynomialsWe will be examining polynomials divided by monomials and by binomials.Dividing a Polynomial by a Monomial:Steps for Dividing a Polynomial by a Monomial: Divide each term of the polynomial by the monomial. a) Divide numbers (coeffici…

Multiplication Involving TrinomialsMultiplying a Binomial and a Trinomial Put the “distributive method” of multiplication to work. Multiply each term from the binomial times each term of the trinomial. You can do this by using either a horizontal method …