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Lesson 4.1 Practice C Geometry Answers Mcdougal Littell

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In English, phrases are not complete sentences. In math, phrases are translated into variable expressions. Sentences are translated into equations or inequalities. Let x represent the number. Phrase Translation a. The sum of 3 and a number 3 x b. The difference between a number and 4 x 4 c. A number decreased by 7 x 7 Exercises for Example 1 Write the phrase as a variable expression. The sum of 1 and a number 2. A number plus 8 5. A number increased by 6 6. The difference between a number and 10 Algebra 1, Concepts and Skills 13 17 1. Let n represent the number. Phrase a. The quotient of a number and 2 c. A number multiplied by 4 Translation 8n n 2 4n Exercises for Example 2 Write the phrase as a variable expression.

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The product of 3 and a number 8. The quotient of a number and multiplied by a number One half of a number divided by a number 14 Algebra 1, Concepts and Skills 18 1. Translate into mathematical symbols: The product of a number and 8 is Use mental math to solve your equation and check your solution. The equation is 8x Using mental math, the solution is x 7. Then use mental math to solve your equation. A number plus 6 is The quotient of a number and 4 is A number increased by 8 is A number multiplied by 3 is Algebra 1, Concepts and Skills 15 19 1. First you write a verbal model using words. Then you translate the verbal model into an algebraic model.

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If both sides of the equation have the same value, then the number is a solution. Exercises for Example 1 Check whether the given number is a solution of the equation. What number can be subtracted from 7 to get 15? What number can 7 be subtracted from to get 15? What number can 15 be subtracted from to get 7? Because 7 can be subtracted from 22 to get 15, question B could be used to solve the equation x Exercises for Example 2 Write a question that could be used to solve the equation. Then use mental mathto solve the equation. Exercises for Example 3 Check whether the given number is a solution of the inequality f 3 8 h 4 10 x 6x 15 2 12 Algebra 1, Concepts and Skills 16 1.

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Algebra 1, Concepts and Skills 1 5 1. The distance traveled is miles. Exercises for Example Find the distance traveled if you drive at an average speed of 60 miles per hour for 4 hours. Find the distance traveled by an airplane flying at an average speed of miles per hour for 6 hours. The area A of a triangle is equal to half the base b times the height h: A 1 Find the area of the triangle below in square feet. The perimeter P of a triangle is equal to the sum of the lengths of its sides: P a b c. Find the perimeter of the triangle below in feet. A 1 Write formula. A 6 Simplify. The triangle has an area of 6 square feet. P a b c Write formula. P Substitute 4 for b and 3 for h. P 12 Simplify. The triangle has a perimeter of 12 feet. Exercises for Example Find the area of a triangle with a base of 10 inches and a height of 6 inches.

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Find the area of a square when s 12 cm. Evaluate 5x 2 6 when x 3. Use the order of operations. Evaluate Use the order of operations. Evaluate product. Evaluate difference. Divide first. Evaluate quotient. Work from left to right. Evaluate the quotient. Exercises for Example 2 Evaluate the expression. Suppose a family of 2 adults and 3 children go to the park. The children s ages are 6 years, 8 years, and 13 years. Write an expression that represents the admission price for the family. Use a calculator to evaluate the expression. The family must buy 3 adult tickets and 2 children s tickets. An expression that represents the admission price for the family is 3 34 2 Exercise for Example Rework Example 3 for a family of 2 adults and 4 children.

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The children s ages are 2 years, 4 years, 10 years, and 12 years. Algebra 1, Concepts and Skills 9 13 1. When the variable in an equation is replaced by a number and the resulting statement is true, the number is a solution of the equation. Finding all the solutions of an equation is called solving the equation. An inequality is a statement formed when an inequality symbol is placed between two expressions. A solution of an inequality is a number that produces a true statement when it is substituted for the variable in the inequality.

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Chapter 5 Test, Form 2D their study of Algebra 1. In a home schooling environment the schedule can, and probably should, be more flexible than in a standard classroom. Free Algebra 2 worksheets pdfs with answer keys-each includes visual aides, model problems, exploratory activities, practice problems, and an online component. However, there are nevertheless many people who in addition to dont subsequent to reading. Solve the system of equations. Hope it helps! Problems covered: 16, This site offers multiple interactive quizzes and tests to improve your test-taking skills. Table of contents. We are more than happy to answer any math specific question you may have about this problem. Select the algebraic expression that represents the verbal expression five increased by seven times a number.

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