Practice - McGraw-Hill Higher Education
Practice - McGraw-Hill Higher Education Practice - McGraw-Hill Higher Education
NAME ______________________________________________ DATE______________ PERIOD _____6-1 PracticeSolving Inequalities by Addition and SubtractionMatch each inequality with its corresponding graph.Alg1 CH06 EP31. 8 x 15 b a.2. 4x 3 5x d b.3. 8x 7x 4 a c.4. 12 x 9 c d.Solve each inequality. Then check your solution, and graph it on a number line.5. r (5) 2 {r r 7} 6. 3x 8 4x {x x 8}8 7 6 5 4 3 2 1 07. n 2.5 5 {n n 2.5} 8. 1.5 y 1 {y y 0.5}4 3 2 1 0 1 2 3 46 5 4 3 2 14 3 2 1 0 1 2 3 411 3 32 4421 39. z 3 z z 2 10. c c c 1 0011238 7 6 5 4 3 2 1 042 3 4 5 6 7 8 9 1052 3 4 5 6 7 8061728Lesson 6-1Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 873949Define a variable, write an inequality, and solve each problem. Then check yoursolution. 11–14. Sample answer: Let n the number.11. The sum of a number and 17 is no less than 26.n 17 26; {n n 9}12. Twice a number minus 4 is less than three times the number.2n 4 3n; {n n 4}13. Twelve is at most a number decreased by 7.12 n 7; {n n 19}14. Eight plus four times a number is greater than five times the number.8 4n 5n; {n n 8}15. ATMOSPHERIC SCIENCE The troposphere extends from the earth’s surface to a heightof 6–12 miles, depending on the location and the season. If a plane is flying at analtitude of 5.8 miles, and the troposphere is 8.6 miles deep in that area, how muchhigher can the plane go without leaving the troposphere? no more than 2.8 mi16. EARTH SCIENCE Mature soil is composed of three layers, the uppermost being topsoil.Jamal is planting a bush that needs a hole 18 centimeters deep for the roots. Theinstructions suggest an additional 8 centimeters depth for a cushion. If Jamal wants toadd even more cushion, and the topsoil in his yard is 30 centimeters deep, how muchmore cushion can he add and still remain in the topsoil layer? no more than 4 cmChapter 6 9 Glencoe Algebra 1
NAME ______________________________________________ DATE______________ PERIOD _____6-2 PracticeSolving Inequalities by Multiplication and DivisionMatch each inequality with its corresponding statement.1. 4n 5 d a. Negative four times a number is less than five.42. n 5 f b. Four fifths of a number is no more than five.53. 4n 5 e c. Four times a number is fewer than five.44. n 5 b d. Negative four times a number is no less than five.55. 4n 5 c e. Four times a number is at most five.6. 4n 5 a f. Four fifths of a number is more than five.Solve each inequality. Then check your solution.as7. 14 8. 13h 52 9. 6 51610. 39 13p{a a 70} {h h 4} {s s 96} {p p 3}2531011. n 12 12. t 25 13. m 6 14. k 103953{n n 18} {t t 45} {m m 10} {k k 3}15. 3b 0.75 16. 0.9c 9 17. 0.1x 4j18. 2.3 4873949 Alg1 CH06 EP3{b b 0.25} {c c 10} {x x 40} {j j 9.2}719. 15y 3 20. 2.6v 20.8 21. 0 0.5u 22. f 1 8y y 1 5 {v v 8} {u u 0} f f 8 7 Define a variable, write an inequality, and solve each problem. Then check yoursolution. 2325. Sample answer: Let n the number.23. Negative three times a number is at least 57. 3n 57; {n n 19}24. Two thirds of a number is no more than 10. 2 3 n 10; {n n 15}25. Negative three fifths of a number is less than 6. 3 5 n 6; {n n 10}26. FLOODING A river is rising at a rate of 3 inches per hour. If the river rises more than 2feet, it will exceed flood stage. How long can the river rise at this rate without exceedingflood stage? no more than 8 hCopyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.27. SALES Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If thestore wants to make a profit of no less than $5225 on natural dog food, how many bagsof dog food does it need to sell? at least 950 bagsChapter 6 16 Glencoe Algebra 1
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NAME ______________________________________________ DATE______________ PERIOD _____6-1 <strong>Practice</strong>Solving Inequalities by Addition and SubtractionMatch each inequality with its corresponding graph.Alg1 CH06 EP31. 8 x 15 b a.2. 4x 3 5x d b.3. 8x 7x 4 a c.4. 12 x 9 c d.Solve each inequality. Then check your solution, and graph it on a number line.5. r (5) 2 {r r 7} 6. 3x 8 4x {x x 8}8 7 6 5 4 3 2 1 07. n 2.5 5 {n n 2.5} 8. 1.5 y 1 {y y 0.5}4 3 2 1 0 1 2 3 46 5 4 3 2 14 3 2 1 0 1 2 3 411 3 32 4421 39. z 3 z z 2 10. c c c 1 0011238 7 6 5 4 3 2 1 042 3 4 5 6 7 8 9 1052 3 4 5 6 7 8061728Lesson 6-1Copyright © Glencoe/<strong>McGraw</strong>-<strong>Hill</strong>, a division of The <strong>McGraw</strong>-<strong>Hill</strong> Companies, Inc. 873949Define a variable, write an inequality, and solve each problem. Then check yoursolution. 11–14. Sample answer: Let n the number.11. The sum of a number and 17 is no less than 26.n 17 26; {n n 9}12. Twice a number minus 4 is less than three times the number.2n 4 3n; {n n 4}13. Twelve is at most a number decreased by 7.12 n 7; {n n 19}14. Eight plus four times a number is greater than five times the number.8 4n 5n; {n n 8}15. ATMOSPHERIC SCIENCE The troposphere extends from the earth’s surface to a heightof 6–12 miles, depending on the location and the season. If a plane is flying at analtitude of 5.8 miles, and the troposphere is 8.6 miles deep in that area, how muchhigher can the plane go without leaving the troposphere? no more than 2.8 mi16. EARTH SCIENCE Mature soil is composed of three layers, the uppermost being topsoil.Jamal is planting a bush that needs a hole 18 centimeters deep for the roots. Theinstructions suggest an additional 8 centimeters depth for a cushion. If Jamal wants toadd even more cushion, and the topsoil in his yard is 30 centimeters deep, how muchmore cushion can he add and still remain in the topsoil layer? no more than 4 cmChapter 6 9 Glencoe Algebra 1
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