122 Chapter 1 Linear Equations and Inequalities in One Variable Section 1.1 1. Describe the solution set for a contradiction. 2. Describe the solution set for an identity. For Exercises 3–12, solve the equations and identify each as a conditional equation, a contradiction, or an identity. 3. 4. x 27 32 1 5. 6. 7. 8. 9. 10. 11. 12. y 7 8 7.23 0.6x 0.2x 0.1y 1.122 5.2y 14 3m2 913 m2 215n 62 31n 32 x 3 5 2x 1 2 1 31x 32 2 3x 2 10 8 2 3 m 18 m 7 8 m 3 8 m 25 1 3 1m 12 1 3 m 1 3 14m 12 Section 1.2 13. Explain how you would label three consecutive integers. 14. Explain how you would label two consecutive odd integers. 15. Explain what the formula d rt means. 16. Explain what the formula I Prt means. 17. a. Cory made $85,200 in taxable income. If he pays an average of 28% in taxes on his income, determine the amount of tax he must pay. b. What is his net income (after taxes)? 18. For a recent year, approximately 7.2 million men were in college in the United States. This represents an 8% increase over the number of men in college in 2000. Approximately how many men were in college in 2000? (Round to the nearest tenth of a million.) 19. For a recent year, there were 17,430 deaths due to alcohol-related accidents in the United States. This was a 5% increase over the number of alcohol-related deaths in 1999. How many such deaths were there in 1999? 20. Of three consecutive even integers, the sum of the smallest two integers is equal to 6 less than the largest. Find the integers. 21. To do a rope trick, a magician needs to cut a piece of rope so that one piece is one-third the length of the other piece. If she begins with a -ft rope, what will be the lengths of the two pieces of rope? 22. Sharyn invests $2000 more in an account that earns 9% simple interest than she invests in an account that earns 6% simple interest. How much did she invest in each account if her total interest is $405 after 1 yr? 23. How much 10% acid solution should be mixed with 1 L of 25% acid solution to produce a solution that is 15% acid? 24. Two friends plan to meet at a restaurant for lunch. They both leave their homes at 11:30 A.M. and between the two of them, they drive a total of 37.5 mi. Lynn drives in from a neighboring town and averages 15 mph faster than her friend Linda. If they meet at noon, find the average driving speed for each. Section 1.3 25. The length of a rectangle is 2 ft more than the width. Find the dimensions if the perimeter is 40 ft. For Exercises 26–27, solve for x, and then find the measure of each angle. 26. (x 25) 1b x a 2 223 Chapter 1 Review Exercises
miller_intermediate_algebra_4e_ch1_3
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