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Homework 24 - Section 8.1 #5 Intermediate Algebra / MAT 135 Fall 2016 possible master (Prof. Fleischner) Student Name/ID: 1. Solve for v, where v is a real number. 11v − 18 = v 2. Solve for x, where x is a real number. x = 11x − 30 3. Solve for u, where u is a real number. u − 5 = 49 − 8u 4. Solve for u, where u is a real number. −3u + 16 = u − 2 5. Solve u 2 = 25, where u is a real number. Simplify your answer as much as possible. 2 ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation. P. 1 / 5 6. Solve u 2 = 16, where u is a real number. Simplify your answer as much as possible. 7. Solve u − 2 2 − 32 = 0, where u is a real number. Simplify your answer as much as possible. 8. Solve v − 7 2 − 32 = 0, where v is a real number. Simplify your answer as much as possible. 9. Fill in the blank to make the expression a perfect square. w 2 − 4w + 10. Fill in the blank to make the expression a perfect square. 2 x − 12x + ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation. P. 2 / 5 11. Solve the quadratic equation by completing the square. 2 x + 18x + 68 = 0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: x + x − 2 2 = = Solution: x = 12. Solve the quadratic equation by completing the square. 2 x − 10x + 10 = 0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: x + x − 2 2 = = Solution: x = ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation. P. 3 / 5 Homework 24 - Section 8.1 #5 Answers for class Intermediate Algebra / MAT 135 Fall 2016 possible master 1. v = 2, 9 2. x = 6, 5 3. u = 6 4. u = 4 5. u = 5, −5 6. u = 4, −4 7. u = 2 + 4 2 , 2 − 4 2 8. v = 7 + 4 2 , 7 − 4 2 9. w 2 − 4w + 4 10. x 2 − 12x + 36 11. Form: x +9 x − 2 2 = 13 = Solution: x = −9 + 13 , − 9 − 13 ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation. P. 4 / 5 12. Form: x + x − 5 2 2 = = 15 Solution: x =5 + 15 , 5 − 15 ALEKS Homework 24 - Section 8.1 #5 - 04/30/2016 12:37 PM EDT - Copyright © 2016 UC Regents and ALEKS Corporation. P. 5 / 5