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178 Chapter 2 Linear Equations and Inequalities For additional exercises, see Classroom Activities 2.7A–2.7C in the Student’s Resource Manual at www.mhhe.com/moh. Section 2.7 Practice Exercises Study Skills Exercise The following is a list of steps to help you solve word problems. Check those that you follow on a regular basis when solving a word problem. Place an asterisk next to the steps that you need to improve. _____ Read through the entire problem before writing anything down. _____ Write down exactly what you are being asked to find. _____ Write down what is known and assign variables to what is unknown. _____ Draw a figure or diagram if it will help you understand the problem. _____ Highlight key words like total, sum, difference, etc. _____ Translate the word problem to a mathematical problem. _____ After solving, check that your answer makes sense. Review Exercises For Exercises 1–3, solve for the indicated variable. c by 1. 2. 3. x cd r for c a ax by c for x For Exercises 4–6, solve the equation. y 18 7x x r d c 7x xy 18 for y 4. 2d 11 4 d 7 5. 312y52 81y12 3y3 4 6. 0.02x0.04110x2 1.26 43 Concept 1: Applications Involving Cost For Exercises 7–12, write an algebraic expression as indicated. 7. Two numbers total 200. Let t represent one of the numbers. Write an algebraic expression for the other number. 200 t 8. The total of two numbers is 43. Let s represent one of the numbers. Write an algebraic expression for the other number. 43 s 9. Olivia needs to bring 100 cookies to her friend’s party. She has already baked x cookies. Write an algebraic expression for the number of cookies Olivia still needs to bake. 100 x 10. Rachel needs a mixture of 55 pounds (lb) of nuts consisting of peanuts and cashews. Let p represent the number of pounds of peanuts in the mixture. Write an algebraic expression for the number of pounds of cashews that she needs to add. 55 p 11. Max has a total of $3000 in two bank accounts. Let y represent the amount in one account. Write an algebraic expression for the amount in the other account. 3000 y 12. Roberto has a total of $7500 in two savings accounts. Let z represent the amount in one account. Write an algebraic expression for the amount in the other account. 7500 z Writing     Translating Expression     Geometry      Scientific Calculator     Video


miller_introductory_algebra_3e_ch1_3
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