[INSERT TITLE HERE] 1 Running head: [INSERT TITLE HERE] [INSERT TITLE HERE] Student Name Allied American University Author Note This paper was prepared for [INSERT COURSE NAME], [INSERT COURSE ASSIGNMENT] taught by [INSERT INSTRUCTOR'S NAME]. Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word's equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it. 1. Simplify. (a6b7)6 Simplify. 3 y 5 z 5 2. 3. Classify the following as a monomial, binomial or trinomial, where possible. 4. Classify the following as a monomial, binomial or trinomial, where possible. y7 + y6 + 8y5+ 2 6. Write in descending order and give the degree. 7. Evaluate -x2 - 10x - 6 for x = 3. 8. True or False? 9. Evaluate (assume x does not equal 0). 10. Write using positive exponents and simplify, if possible. vw2 2 Classify the following as a monomial, binomial or trinomial, where possible. 4x2 - 3xy + y2 5. - 11. 7x3 + 10x4 + 10 The degree of a trinomial is never 4. 8x0 5-3 m5 m 20 Simplify and write your answer with only positive exponents. 3 -5 (r ) r(r ) 3 -4 12. Simplify. Write your answer with only positive exponents. 13. Express the number in scientific notation. The diameter of Neptune: 49,600,000 m 14. Perform the indicated calculations. Write your result in scientific notation. ( 8 108 ) ( 5.4 103 ) ( 2.7 10 ) ( 2 10 ) 14 15 [INSERT TITLE HERE] 3 15. The distance from a star to a planet is 7.4 10 18 m. How long does it take light, traveling at 1016 m/year, to travel from the star to the planet? 16. Add 6m2 - 2m - 4 and 10m2 + 3m - 6. 17. Remove the parentheses and simplify. 18. Subtract 4d2 + 9d - 10 from 10d2 - 3d + 7. 19. Perform the indicated operations. [(6y2 + 2y - 2) - (-y2 - 10y + 2)] - (-4y2 + 3y + 3) 20. A census study shows that the population from 1990 to 1998 of the only large town in a certain county can be modeled by the formula 102t2 - 225t + 3090 where t = 0 represents the year 1990 and that over the same years, the population of the surrounding county (not including the town) can be modeled by the formula 125t2 + 72t + 4978 where t = 0 represents the year 1990. Find a model for the total population of the county during the years 1990 to 1997. 21. Multiply. -6x(-4x - 7) 22. Multiply. (5m - 3)(4m + 7) 23. Multiply. (-4x - 2)2 7y - (-10y - 9x) Divide. 50 x 3 - 70 x 2 10 x 25. Divide. x 4 - 10 x 2 + 31 x2 - 5 26. Write 7.7x10^8 in standard notation. 27. Evaluate 4x^0+5 28. Simplify and write using positive exponents. (-6)^-2 29. Simplify x^-7/y^-2 30. Multiply (x-9)(x+9) 24