Commutative Laws Commutative Laws say we can swap numbers over and still get the same answer. Commutative Laws for Addition a + b = b + a Commutative Laws for Multiplication a × b = b × a From these laws it follows that any finite sum or product is unaltered by reordering its terms … Continue reading "Commutative, Associative, and Distributive Laws"

Read More# Category: Algebra

## Finding an Angle in a Right Angled Triangle

We can find an unknown angle in a right-angled triangle, as long as we know the lengths of two of its sides. Use Sine, Cosine or Tangent! Use SOHCAHTOA to help you, like this: How to Finding an Angle in a Right Angled Triangle 1. find the names of the two sides we know Adjacent … Continue reading "Finding an Angle in a Right Angled Triangle"

Read More## Directly and Inversely Proportional

Directly Proportional Directly proportional: when one amount increases, another amount increases at the same rate. The symbol for “directly proportional” is ∝ Inversely Proportional Inversely Proportional: when one value increases, at the same rate that the other decreases. Examples Directly Proportional Inversely Proportional Have more workers You pay more Work time is shorter How … Continue reading "Directly and Inversely Proportional"

Read More## Zero Product Property

Definition If a × b = 0 then a = 0 or b = 0 or a = b = 0 A product of factors is zero if and only if one or more of the factors is zero. Standard Form of an Equation The Standard Form of an equation is: “some expression” = 0 Learn More Partial Sum General Form of … Continue reading "Zero Product Property"

Read More## Partial Sum

A series is the sum of the terms in a sequence (not the list of terms, like a sequence). The series with a finite number of terms is a easy to find the sum of the series just by adding the terms. However, for the series with an infinite number of terms, the summation is more difficult and complicated. … Continue reading "Partial Sum"

Read More## General Form of Equation of a Line

Definition General Form of the equation of a straight line is: Ax + By + C = 0 Note: A or B can’t be zero at the same time. (if A = 0 then B ≠ 0, vice versa) The General Form is not always the most useful form, and you may prefer to use: Slope-Intercept Form … Continue reading "General Form of Equation of a Line"

Read More## Subtracting Fractions

Definition A fraction like 2/3 says we have 2 out of the 3 parts the whole is divided into. The top number is called numerator The bottom number is called denominator There are 3 simple steps to subtract fractions Make sure the bottom numbers (the denominators) are the same Subtract the top numbers (the numerators). … Continue reading "Subtracting Fractions"

Read More## Infinite Series

Definition The sum of infinite terms that follow a rule. When we have an infinite sequence of values: which follow a rule (in this case each term is half the previous one), and we add them all up: we get an infinite series. Series sounds like it is the list of numbers, but it is … Continue reading "Infinite Series"

Read More## Dividing Fractions

There are 3 Simple Steps to Divide Fractions: Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal). Multiply the first fraction by that reciprocal of second fraction Simplify the fraction (if needed) Fractions and Whole Numbers What about division with fractions and whole numbers? Make the … Continue reading "Dividing Fractions"

Read More## Geometric Sequences and Sums

Sequence A Sequence is a set of things (usually numbers) that are in order. 2, 4, 6, 8, … Geometric Sequences In a Geometric Sequence, each term is found by multiplying the previous term by a constant. This sequence has a factor of 3 between each number. Each term (except the first term) is found … Continue reading "Geometric Sequences and Sums"

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