6-9 Using Equations that Factor Warm-up Problems 1.Solve 2.Solve 3.Solve.

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Presentation transcript:

6-9 Using Equations that Factor Warm-up Problems 1.Solve 2.Solve 3.Solve

Chapter Using Equations that Factor

Example 1 Translate to an equation and solve. The product of one more than a number and one less than the number is 8. Find the number. The product of one more than a number and one less than the number is 8.

Example 2 Translate to an equation and solve. The square of a number minus twice the number is 48. Find the number. The square of a number minus twice the number is 48.

Try This Translate to an equation and solve. a.The product of seven less than a number and eight less than the number is 0. b.A number times one less than the number is zero. c.The product of one more than a number and one less than the number is 24. d.The square of a number minus the number is 20. e.One more than twice the square of a number is 73.

Example 3 Translate to an equation and solve. The area of the foresail on a 12-meter racing yacht is square meters. The sail’s height is 8.75 meters greater than its base. Find it’s base and height. ½ times the base times the height is 93.75

Example 4 Translate to an equation and solve. The product of two consecutive integers is 156. Find the integers. First integer times second integer is 156.

Try This Solve. f.The width of a rectangular card is 2 cm less than the length. The area is 15 cm². Find the length and width. g.The product of two consecutive integers is 462. Find the integers.