Download Algebra: Concepts and Skills by Laurie Boswell, Holt Mcdougal PDF

By Laurie Boswell, Holt Mcdougal

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8 xϩ3≥9 2x Ϫ 1 < 8 SIMPLIFY CONCLUSION 7≥9 False, 4 is not a solution. 7<8 True, 4 is a solution. Check Solutions of Inequalities Check to see if the value of n is or is not a solution of 3n ؊ 4 ≤ 8. 6. n ϭ 2 7. n ϭ 3 8. n ϭ 4 9. n ϭ 5 Careers EXAMPLE 5 Check Solutions in Real Life Your vet tells you to restrict your cat’s caloric intake to less than or equal to 500 calories a day. Two times a day, you give your cat a serving of food that has x calories. Does 250 calories for each serving meet the vet’s restriction?

5 Divide 30 by 6. c. 16 ϩ 4 p 2 Ϫ 3 ϭ 16 ϩ (4 p 2) Ϫ 3 Do multiplication first. ϭ 16 ϩ 8 Ϫ 3 Multiply 4 times 2. ϭ (16 ؉ 8) Ϫ 3 Work from left to right. ϭ 24 Ϫ 3 Add 16 and 8. ϭ 21 Subtract 3 from 24. 1ϩ2 4Ϫ1 A fraction bar can act as a grouping symbol: (1 ϩ 2) Ϭ (4 Ϫ 1) ϭ ᎏᎏ. Expressions with Fraction Bars 3 EXAMPLE Evaluate the expression. Then simplify the answer. 7p4 7p4 ᎏᎏ ϭ ᎏᎏ 8 ϩ 72 Ϫ 1 8 ϩ 49 Ϫ 1 28 8 ϩ 49 Ϫ 1 Simplify the numerator. 28 57 Ϫ 1 Work from left to right. 28 56 Subtract. 1 2 Simplify.

The sum of a number and 10 is 15. 33. 28 decreased by a number is 18. 34. The product of a number and 25 is 100. 35. The quotient of 49 and a number is 7. 36. History The area of the rectangle is less than or equal to 50 square meters. Write an inequality for the area using the dimensions in the diagram. x 3x 37. PLANNING A TRIP You want to go to an amusement park. The distance between your house and the amusement park is 110 miles. Your rate of travel is 55 miles per hour. Use the formula d ϭ rt to write an equation.

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