1 CHAPTER TEST Additional Resources Graph the numbers on a number line. 1, 2. See margin. 7 , 6.5, Ï} 1 1. 22, 2} 30 , } 4 3 Assessment Book 3 9 , 0.8, 25.5, 2Ï} 2. } 10 , 2} 4 2 Chapter Test, Levels A, B, C Standardized Chapter Test • SAT/ACT Chapter Test • Alternative Assessment • • Use properties and definitions of operations to show that the statement is true. Justify each step. 3, 4. See margin. 3. 5 1 (x 2 5) 5 x 4. (3d 1 7) 2 d 1 5 5 2d 1 12 Test Generator Evaluate the expression for the given values of x and y. 5. 4x 2 6y when x 5 5 and y 5 23 38 6. 3x 2 2 9y when x 5 2 and y 5 4 224 Chapter Test Easily-readable reduced copies (with answers) of Chapter Test B, the Standardized Chapter Test, and the Alternative Assessment from the Assessment Book can be found on pp. 1E–1F. Simplify the expression. 7. 5n 1 10 2 8n 1 6 23n 1 16 2 2 8. 10m 2 4(3m 1 7) 1 6m 4m 2 28 9. 11 1 q 2 3q 1 18q 2 2 15q 1 q 1 9 2 11. 5(x 2 3y) 1 2(4y 2 x) 3x 2 7y 10. 9t 2 1 14 2 17t 1 6t 2 8t 2 t 2 2 11t 1 14 12. 5(2u 1 3w) 2 2(5u 2 7w) 29w Solve the equation. Check your solution. 13. 5n 1 11 5 29 24 10 16. y 5 }3 x 2 } ; 7 7 1 1} 7 1 17. y 5 2}4x 1 3; 2}1 2 230 18. y 5 } ; 15 1 2x 1 21} 5 6:17:36 PM 65 -0180.indd 14. 6k 1 7 5 4 1 12k 0.5 15. 2t 2 2 5 9(t 2 8) 7 Solve the equation for y. Then find the value of y for the given value of x. 1. 16. 12x 2 28y 5 40; x 5 6 2. 17. x 1 4y 5 12; x 5 2 18. 15y 1 2xy 5 230; x 5 5 Solve the inequality. Then graph the solution. 19–21. See margin for art. 19. 25x 2 6 < 19 x > 25 20. x 1 22 * 23x 2 10 x * 28 21. 5 < 2x 1 3 ) 11 1 < x ) 4 Solve the equation. Check for extraneous solutions. 1 22. °3d 2 4° 5 14 23}, 6 3 23. °f 1 3° 5 2f 1 4 21 24 210 28 21. Solve the inequality. Then graph the solution. 25–27. See margin for art. 25. °x 2 5° ) 30 225 ) x ) 35 26. °3y 1 4° > 2 y < 22 or y > 2}2 27. 3 2 °}3 z 2 5° < 5 0 < z < 15 8 12 26 22 2 6 26 24 24 22 0 22 0 2 4 6 225 25. 27. 29. CAR REPAIR The bill for the repair of a car was $420. The cost of parts 0 26 220 35 0 26. home, you buy a network router for $75. The fee for DSL service is $18 per month. Write an expression for the amount of money you spend in n months. How much money do you spend in 12 months? 18n 1 75; $291 22 28 240 28. WIRELESS NETWORK To set up a wireless network for Internet access at 4 3–4. See below. 19. 20. 24. °10 2 7g° 5 2g 1}1 , 2 9 0 20 40 2 23 24 23 22 21 0 26 0 6 12 18 was $240. The cost of labor was $45 per hour. How many hours did the repair take? 4 h 30. HOUSEHOLD CHORES You can wash one window in 15 minutes and your sister can wash one window in 20 minutes. How many minutes will it take to wash 12 windows if you work together? about 103 min 3V 31. h 5 } ; 2 pr about 10.7 in. 31. 1 3 GEOMETRY The formula V 5 } πr 2h gives the volume V r h of a cone with height h and base radius r. Solve the formula for h. Then find h when r 5 2 inches and V 5 45 cubic inches. Chapter Test 3. 5 1 (x 2 5) 5 5 1 (x 1 (25)) Def. of subtraction 5 5 1 ((25) 1 x ) Comm. prop. of addition 5 (5 1 (25)) 1 x Assoc. prop. of addition 501x Inverse prop. of addition 5x Identity prop. of addition 4. (3d 1 7) 2 d 1 5 5 (3d 1 7) 1 (2d ) 1 5 Def. of subtraction 5 3d 1 (7 1 (2d )) 1 5 Assoc. prop. of addition 5 3d 1 ((2d ) 1 7) 1 5 Comm. prop. of addition 5 (3d 1 (2d )) 1 (7 1 5) Assoc. prop. of addition 5 2d 1 12 Combine like terms. 65 6/17/09 6:17:40 PM 65
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