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Section 3.5 Applications and Problem Solving 165 Study Skills Exercise In solving an application it is very important first to read and understand what is being asked in the problem. One way to do this is to read the problem several times. Another is to read it out loud so you can hear yourself. Another is to rewrite the problem in your own words.Which of these methods do you think will help you in understanding an application? Review Exercises 1. Use substitution to determine if 3 is a solution to the equation 4x 1 11. 2. Use substitution to determine if 4 is a solution to the equation 3x 9 21. For Exercises 3–8, solve the equation. 3. 3t 15 24 4. 6x 4 16 5. w 8 6. 3 3 7. 2x 22 6x 2 8. 5y 34 3y 12 Concept 2: Translating Verbal Statements into Equations For Exercises 9–40, a. write an equation that represents the given statement. b. solve the problem. (See Examples 1–3.) b 5 5 14 Section 3.5 Practice Exercises 9. The sum of a number and 6 is 19. Find the number. 10. The sum of 12 and a number is 49. Find the number. 11. The difference of a number and 14 is 20. Find the number. 12. The difference of a number and 10 is 18. Find the number. 13. The quotient of a number and 3 is 8. Find the number. 14. The quotient of a number and 2 is 10. Find the number. 15. The product of a number and 6 is 60. Find the number. 16. The product of a number and 5 is 20. Find the number. 17. The difference of 2 and a number is 14. Find the number. 18. A number subtracted from 30 results in 42. Find the number. 19. 13 increased by a number results in 100. Find the number. 20. The total of 30 and a number is 13. Find the number. 21. Sixty is 5 times a number. Find the number. 22. Sixty-four is 4 times a number. Find the number. 23. Nine more than 3 times a number is 15. Find the number. 24. Eight more than twice a number is 20. Find the number. 25. Five times a number when reduced by 12 equals 27. Find the number. 26. Negative four times a number when reduced by 6 equals 14. Find the number.


miller_prealgebra_2e_ch1_3
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