3.5 And 3.6 Solving Equations
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The document discusses solving equations by adding, subtracting, multiplying, and dividing. It provides examples of using the subtraction and addition properties of equality to isolate the variable by subtracting or adding the same quantity to both sides of an equation. Word problems are also presented where equations are set up and solved to find unknown values. Students are instructed to practice these solution techniques for homework.
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- Reviews of books in popular series like The Raven Cycle and Slayer, noting whether they live up to expectations.
- Summaries of titles that portray important themes like mental illness, the criminal justice system, and LGBTQ stories in an underrepresented way.
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- Highlights titles with diverse protagonists and stories about marginalized groups that are still uncommon
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Ch 4 l 3 how atoms differ
The document discusses the differences between elements, isotopes, and ions at the atomic level. Elements are defined by their atomic number, or number of protons. Isotopes are atoms of the same element that have different numbers of neutrons. Ions are atoms that have gained or lost electrons, giving them a positive or negative charge. The periodic table organizes elements by their atomic number and provides other atomic information. Atoms of the same element can have different isotopes depending on their number of neutrons. Atoms can also form ions by gaining or losing electrons.
Percents And Equations
The document discusses using percentages and equations to solve percent problems. It provides examples of finding the percent, part, or whole given information about two of the quantities. It also gives examples of writing and solving equations to determine commission earned from sales, royalty amounts, and results of a survey where the part and percent are known.
Mark Up And Discount
The document discusses calculating markups and discounts for retail stores.
It provides examples of calculating markups based on a store's cost and its percentage markup. For a music store with a 67% markup, a CD that costs $10.50 would have a $6.80 markup.
It also discusses calculating discounts, with an example of a 20% discount on an item originally priced at $39.95 resulting in a sale price of $31.96 using either a two-step method or a one-step method.
The document concludes with assignment problems for the reader to complete related to these markup and discount calculations.
Percent Of Change
This document provides examples and explanations for calculating percent of increase and percent of decrease. It defines percent of change as the amount of change divided by the original amount. Several examples are given of calculating the percent of increase or decrease in different scenarios. These include finding the percent increase from 4 to 7.5 (87.5%), the annual increase in video game production from 1960 to 1990 (about 133%), and the percent decrease when a computer costs dropped from $875 to $745 (14%).
Solving Two Step Equations
The document discusses solving two-step equations through examples and steps:
1) To solve two-step equations, first undo addition/subtraction, then undo multiplication/division (following the order of operations backwards).
2) An example problem is worked through to find the number of pickles a soccer player can eat given the calorie amounts of a sandwich and pickles.
3) Another example incorporates the calories from a sports drink to determine the new number of pickles the soccer player can eat.
Proportions And Percents
This document provides examples and explanations for calculating percentages and using percentages to solve problems. It begins with writing percentages as fractions. It then demonstrates how to find a percentage of a whole number using proportions. Examples are provided for finding specific percentages and finding the whole given a percentage. The document concludes with examples of using percentages to solve word problems by setting up proportions to find missing values.
Proportions And Percents
This document provides examples and explanations for calculating percentages and using percentages to solve problems. It begins with writing percentages as fractions. It then demonstrates how to find a percentage of a whole number by setting up a proportion. Examples are provided for finding specific percentages and finding the whole given a percentage. The document concludes with examples of using percentages to solve for unknown whole amounts.
Proportions And Percents
This document provides examples and explanations for calculating percentages and using percentages to solve problems. It begins with examples of writing percentages as fractions. It then demonstrates how to find a percentage of a whole number using proportions. Examples are provided for finding specific percentages of given numbers, as well as finding the whole number when given a percentage and part. The document concludes with examples of using percentages to solve for unknown whole numbers.
Proportions And Percents
This document provides examples and explanations for calculating percentages and using percentages to solve problems. It begins with writing percentages as fractions, then shows how to calculate a percentage of a whole number using proportions. Examples are provided for finding percentages of amounts, as well as calculating whole amounts when given a percentage and part. The document concludes with an example problem set for students to practice these percentage calculation skills.
Proportions And Percents
This document provides examples and explanations for calculating percentages and using percentages to solve problems. It begins with writing percentages as fractions, then shows how to calculate a percentage of a whole number using proportions. Examples are provided for finding percentages of given numbers and finding whole numbers when given a percentage. The document concludes with examples of using percentages to solve for unknown whole numbers.
Fractions, Decimals, And Percents
This document provides instructions for converting between fractions, decimals, and percentages. It explains that a percentage is a ratio comparing a number to 100. To convert a percentage to a decimal, write it as a fraction over 100 and divide. Several examples are provided to demonstrate converting between fractions, decimals, and percentages.
Fractions, Decimals, And Percents
This document provides instructions for converting between fractions, decimals, and percentages. It explains that a percentage is a ratio comparing a number to 100. To convert a percentage to a decimal, write it as a fraction over 100 and divide. Several examples are provided to demonstrate converting between fractions, decimals, and percentages.
Chapter 6 Section 4 Fractions Decimals And Percents
This document provides instructions for converting between fractions, decimals, and percentages. It explains that a percentage is a ratio comparing a number to 100. To convert a percentage to a decimal, write it as a fraction over 100 and divide. Several examples are provided to demonstrate converting between fractions, decimals, and percentages.
Proportions And Percents
The document provides examples and explanations for solving various percent and proportion word problems:
1) It explains how to set up and solve percent proportions, including finding a percent of a number, determining what percent one number is of another, and finding a whole given a percent and part.
2) Several examples are worked through, such as finding 65% of 245 and determining what percent 52 is of 60.
3) It discusses how to set up and solve word problems involving finding original amounts when given a percent and part, such as calculating a fundraising goal from being 46% toward the goal.
4) Two drive-in movie screen word problems are presented and solved, such as estimating the number of screens
Chapter 6 Section 3 Similar Figures
The document discusses similar figures and scale drawings. It provides examples of using proportions to solve problems involving similar figures, scale drawings, and indirect measurements. Key concepts covered include: similar figures having the same shape but not necessarily the same size, with corresponding angles and sides in proportion; using proportions to solve problems involving similar figures and scale drawings; and using similar triangles to indirectly measure quantities like the height of a tree or flagpole using shadow lengths.
5 5 Customary Units Dimensional Analysis
This document provides a review of customary units, fractions, and dimensional analysis. It includes examples of using conversion factors to find a common denominator between fractions and to convert between units. Dimensional analysis is described as the process of analyzing units to determine which conversion factors to use. Examples are provided of using conversion factors and fraction bars to solve conversion problems between units like inches, feet, quarts, gallons, and yards.
Factors & Primes
The document introduces prime factor trees as a method to discover the prime factors of any number. It uses the number 36 as an example, first breaking it into factors of 9 and 4, then further factoring those numbers into their prime factors of 2 and 3. The process is repeated for 36 broken into 3 and 12 to arrive at the same prime factor result. In the end, composite numbers are explained as made up of factors, with the goal of a prime factor tree being to reduce each factor to its lowest possible prime factors.
Factors & Primes
The document defines prime numbers, composite numbers, and prime factorization. It provides examples of prime and composite numbers. It then explains how to perform prime factorization by writing a number as the product of its prime factors using a factor tree method in multiple steps.
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Chapter 6 Section 4 Fractions Decimals And Percents
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3.5 And 3.6 Solving Equations
- 1. Section 3.5: Solving Equations by Adding or Subtracting By Ms. Dewey-Hoffman October 2 nd , 2008 (Thursday)
- 14. Solving Equations by Multiplying or Dividing Decimals Section 3.6 By Ms. Dewey-Hoffman
- 17. Word Problem Barrels Made In A Day X Number of Days = 200 Thousand Barrels 16.8 X Number of Days = 200 Thousand Barrels 16.8 16.8 Number of Days = 11.904, round to 12 Days. It will take 12 days to make 200 barrels of oil.