# Hotmath Search

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Search results for 'pattern' below:

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Exponents There's one more operation besides addition, subtraction, multiplication, and division. That's exponentiation, notated by superscript (e.g. x2 or ex ), or sometimes -- ...
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Yang Hui’s Triangle (Pascal's Triangle) Yang Hui’s Triangle is a special triangular arrangement of numbers used in many areas of mathematics.  In Asia, it is named after the famo ...
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Tablas y patrones de exponentes Hay muchos patrones interesantes para encontrar en las tablas de potencias de números enteros. Potencias de 2 Potencias de 3 ...
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Writing Number Patterns in Function Notation Given a number pattern, or a sequence of numbers we sometimes want to write the sequence in function notation, with the natural numbers are the dom ...
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Square Roots How do we do them? A square root of a number b is a solution of the equation x2 = b. Every number except 0 has two square roots, a positive and a negative.  The positiv ...
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Irrational Numbers An irrational number is a real number that cannot be expressed in the form , when a and b are integers(b ≠ 0).  In decimal form, it never terminates (ends) or repeat ...
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Functions: Describing Behavior A function table (T-table) shows you the relationship between pairs of numbers. The relationship is defined by a rule, and this rule applies to all the pairs of numb ...
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Multiplying and Dividing with Decimals Multiplying Decimals To multiply decimals, first just multiply the numbers as if they were whole numbers. (Don't line up the decimal points!) Then count the ...
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Word Problems A word problem requires you to find an answer from the facts of the problem. Here are some steps to follow: Understand the problem. (Read and re-read it!) Do you ...
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Pascal’s (Zhu Shijie’s) Triangle Pascal’s Triangle is a special triangular arrangement of numbers used in many areas of mathematics.  It is named after the famous 17th cen ...
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Operations with Decimals Adding and Subtracting Decimals Adding and subtracting decimals is easy if you're comfortable with carrying and borrowing. Just line up the decimal points, and (if necessary ...
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Rational Numbers The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 1/3 and -1111/8 are both rational numbers. All the inte ...
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Number Systems: Naturals, Integers, Rationals, Irrationals, Reals, and Beyond The Natural Numbers The natural (or counting) numbers are 1, 2, 3, 4, 5, etc. There are infinitely ...
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Rational Numbers Any number that can be written as a fraction with integers is called a Rational Number. For example, are Rational Numbers. If a number can be re-written as a fraction ...
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Exponent Tables and Patterns There are many interesting patterns to be found in the tables of powers of whole numbers. Powers of 2 Powers of 3 Pow ...
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Inductive Reasoning Inductive Reasoning is a reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use inductive reasoning to decide the next successive t ...
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Golden Rectangle The Golden Rectangle, also called the perfect rectangle by some, is a rectangle in which the ratio of its length to its width is the Golden Ratio.  Many believe that this is ...
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Square of a Binomial The square of a binomial is always a trinomial.  It will be helpful to memorize these patterns for writing squares of binomials as trinomials. (a + b)2 = a2 + 2ab + b2 ...
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Fibonacci Numbers (Sequence): 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 . . . The Fibonacci numbers (The first 14 are listed above) are a sequence of numbers defined recursively by the ...
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1. 1
Problem: 6-74b Page: 256 Title: Algebra Connections

Identify the hypothesis and conclusion for the following statements. Then decide if the statement is true or false. Justify your decision. You may want to review the meanings of hypothesis and conclusion from problem 6–31.

If Figure 2 of a tile pattern has 13 tiles and Figure 4 of the same pattern has 15 tiles, then the pattern grows by 2 tiles each figure.

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Problem: 1-67b Page: 32 Title: Algebra Connections

How does the pattern grow? Explain how you know.

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Problem: 1-56a Page: 29 Title: Algebra Connections

Copy the pattern, shown in your textbook, and continue the pattern for successive powers of 3.

In a sentence or two, describe a pattern formed by the units digits (the "ones") of the numbers in the pattern.

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Problem: GC-114c Page: 161 Title: Foundations for Algebra: Year 2

The camp council is designing a patio floor for an outdoor cafeteria. They have chosen the pattern shown in figure. What is the area of the section with the pattern(b) ?

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Problem: 10-126 Page: 445 Title: Algebra Connections

Find a rule that represents the number of tiles in the tile pattern in the figure.

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Problem: PS-9 Page: 98 Title: Geometry

Study the figures below, find a pattern, and sketch the next four figures. State the pattern's rule in a sentence or two.

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Problem: 6-85 Page: 259 Title: Algebra Connections

Figure 2 of a tile pattern is shown. If the pattern grows linearly and if Figure 5 has 15 tiles, then find a rule for the pattern.

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Chapter: 6 Section: 6 Problem: 11 Title: Hotmath Algebra 1

Multiply.

(2x – 3)2

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Problem: PS-43 Page: 112 Title: Geometry

Start with the number 6. Double it. Then double this result. Continue to double each new number until you find a pattern in the unit (one's) digits. Describe the pattern. You may want to make an organized table (list).

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Problem: JM-137a Page: 402 Title: Foundations for Algebra: Year 1

Write the given numbers and continue each pattern on your paper.

1/8, , 3/8, ____, _____, _____, _____, _____

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Problem: WR-26a Page: 201 Title: Algebra 1

Here is a famous number pattern called Fibonacci Numbers:

1, 1, 2, 3, 5, 8, ...

a) Copy the pattern on your paper, then list the three numbers that would appear next.

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Problem: GC-114a Page: 161 Title: Foundations for Algebra: Year 2

The camp council is designing a patio floor for an outdoor cafeteria. They have chosen the pattern shown in figure. What is the area of the section with the pattern (a) ?

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Problem: JM-137b Page: 402 Title: Foundations for Algebra: Year 1

Write the given numbers and continue each pattern on your paper.

1/6,1/3, _____, _____, 5/6, _____

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Problem: BP-92b Page: 325 Title: Algebra 1

John figures he can make each pen larger if he places the squares in a square pattern instead of in a row. Is he right? Justify your answer.

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Problem: JM-137d Page: 402 Title: Foundations for Algebra: Year 1

Write the given numbers and continue each pattern on your paper.

0.25, _____, 0.75, _____, 1.25, _____, _____

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Problem: WR-26a Page: 113 Title: Algebra 1, Abridged Version

Here is a famous number pattern called Fibonacci Numbers:

1, 1, 2, 3, 5, 8, ...

Copy the pattern on your paper, then list the three numbers that would appear next.

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Problem: MD-35b Page: 95 Title: Foundations for Algebra: Year 2

Marisa wanted to investigate some patterns. She wrote out some of them for you to complete.

27, 9, 3, 1, ___, ___, ___

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Problem: DS-95a Page: 452 Title: Algebra 2

Parts DS–94a and DS–94d of DS–94 represent a general pattern known as the sum and difference of cubes. Use this pattern to factor of the following polynomial:

x3 + y3

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Problem: 2-70c Page: 66 Title: Algebra Connections

Cami has a different tile pattern. She decided to represent the number of tiles of her pattern in a table, as shown below. Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern? How many tiles would Figure 8 have? Explain how you know.

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Problem: MD-35c Page: 95 Title: Foundations for Algebra: Year 2

Marisa wanted to investigate some patterns. She wrote out some of them for you to complete.

16, 4, 1, ___, ___, ___

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• Hotmath Pages
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• Hotmath-Covered Textbooks
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Title:
Publisher:
Author:
Variables and Patterns
Prentice Hall
Phillips, Lappan, Fey, Friel, Fitzgerald

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Title:
Publisher:
Author:
Variables and Patterns
Prentice Hall
Lappan, et al.

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1. 1
Sequences, Algebra 1
2. 2
Factoring Patterns, Precalculus
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Exponents and Operations with Whole Numbers, Pre-Algebra TW
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Multiplying Whole Numbers, Pre-Algebra TW
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Factoring Patterns, Precalculus
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Exponential Functions, College Algebra
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Manipulating Graphs: Shifts and Stretches, Precalculus
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Exponential Functions, Algebra 2: Intermediate Algebra
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Exponential Functions, Trigonometry
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Factoring Patterns, College Algebra
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Exponential Functions, Algebra 2: Intermediate Algebra
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Graphing Parabolas, Algebra 2: Intermediate Algebra
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Factoring Patterns, College Algebra
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Factoring Patterns, Precalculus
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Exponential Functions, Precalculus
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Manipulating Graphs: Shifts and Stretches, College Algebra
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Factoring Patterns, College Algebra
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Factoring Patterns, College Algebra
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Manipulating Graphs: Shifts and Stretches, Trigonometry
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Factoring Patterns, Precalculus
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