13. 49=0 14. 2x2 50=0 n2 15. The area of a rectangular field is 72 m2. The length of the field is + 8 m. What x2 x x is the width of the field in meters? 16. The product of two integers is 3w 40, where is a whole number. Write w2 w expressions for each of the two integers in terms of w. 17. John is years old. The product of and j his younger brother’s older sister’s ages is 2j 15. How old are and sister in terms of j2 John’s brother John’s age? Solve each equation by factoring. Check your answers. 18. 2x 24 = 0 19. 3x2 = + 4 x2 – – x 20. 6x + 9 = 0 21. 3x2 + 45 = 24x x2 – Solve each equation using tables. Give each answer to at most two decimal places. 22. 5x2 + 7x 6 = 0 23. 2x = 1 x2 – – Solve each equation by graphing. Give each answer to at most two decimal places. 24. 10x2 = 4 3x 25. 3x2 + 2x = 2 – A woman drops a front door key to her husband from their apartment window 26. several stories above the ground. The function = + 64 gives the height of h –16t2 h the key in feet, seconds after she releases it. t a. How long does it take the key to reach the ground? b. What are the reasonable domain and range for the function h? 27. You use a rectangular piece of cardboard measuring 20 in. by 30 in. to construct a box. You cut squares with sides in. from each corner of the piece of cardboard and x then fold up the sides to form the bottom. a. Write a function representing the area of the base of the box in A terms of x. b. What is a reasonable domain for the function A? sc. Write an equation if the area of the base must be 416 in.2.
13. n2 49=0 14. 2x2 50=0 15. The area of a rectangular field is x2 x 72 m2. The length of the field is x + 8 m. What is the width of the field in meters? 16. The product of two integers is w2 3w 40, where w is a whole number. Write expressions for each of the two integers in terms of w. 17. John is j years old. The product of his younger brother’s and older sister’s ages is j2 2j 15. How old are John’s brother and sister in terms of John’s age? Solve each equation by factoring. Check your answers. 18. x2 – 2x – 24 = 0 19. 3x2 = x + 4 20. x2 – 6x + 9 = 0 21. 3x2 + 45 = 24x Solve each equation using tables. Give each answer to at most two decimal places. 22. 5x2 + 7x – 6 = 0 23. x2 – 2x = 1 Solve each equation by graphing. Give each answer to at most two decimal places. 24. 10x2 = 4 – 3x 25. 3x2 + 2x = 2 26. A woman drops a front door key to her husband from their apartment window several stories above the ground. The function h = –16t2 + 64 gives the height h of the key in feet, t seconds after she releases it. a. How long does it take the key to reach the ground? b. What are the reasonable domain and range for the function h? 27. You use a rectangular piece of cardboard measuring 20 in. by 30 in. to construct a box. You cut squares with sides x in. from each corner of the piece of cardboard and then fold up the sides to form the bottom. a. Write a function A representing the area of the base of the box in terms of x. b. What is a reasonable domain for the function A? sc. Write an equation if the area of the base must be 416 in.2.
factoringquadratics.docx