MODULE 3 HOMEWORK ASSIGNMENT 1 Running head: MODULE 3 HOMEWORK ASSIGNMENT Module 3 Homework Assignment Luichy M Victorianoabreu Allied American University Author Note This paper was prepared for MAT 110: Beginning Algebra taught by Prof Houston. MODULE 3 HOMEWORK ASSIGNMENT 2 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. (a6b7)6 1. Simplify. 5. Classify the following as a monomial, binomial or trinomial, where possible. y7 + y6 + 8y5+ 2 6. Write in descending order and give the degree.7x3 + 10x4 + 10 7. Evaluate -x2 - 10x - 6 for x = 3. 13. Express the number in scientific notation. The diameter of Neptune: 49,600,000 m MODULE 3 HOMEWORK ASSIGNMENT 3 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. 7y - (-10y - 9x) MODULE 3 HOMEWORK ASSIGNMENT 4 (-4x - 2)2 23. Multiply. 24. Divide. 25. Divide. 27. Evaluate 4x^0+5 29. Simplify x^-7/y^-2 50 x 3 - 70 x 2 10 x x 4 - 10 x 2 + 31 x2 - 5 MODULE 3 HOMEWORK ASSIGNMENT 5 30. Multiply (x-9)(x+9) MODULE 3 HOMEWORK ASSIGNMENT 1 1. Simplify. (a6b7)6 6 ( a 6 b 7 ) =a(66 )b (76 )=a36 b42 5. Classify the following as a monomial, binomial or trinomial, where possible. y7 + y6 + 8y5+ 2 it is not classified 6. Write in descending order and give the degree.7x3 + 10x4 + 10 10 x 4 +7 x3 +10 degree of 4 7. Evaluate -x2 - 10x - 6 for x = 3. 3 2( 103 )6 = 3 2306=9306=45 13. Express the number in scientific notation. The diameter of Neptune: 49,600,000 m 4.96 x 10 7 m 16. Add 6m2 - 2m - 4 and 10m2 + 3m - 6. ( 6 m22 m4 ) + ( 10 m2 +3 m6 ) =16 m2+1 m10 17. Remove the parentheses and simplify. 7y - (-10y - 9x) 7 y +10 y=17 x then 17 y +9 x 18. Subtract 4d2 + 9d - 10 from 10d2 - 3d + 7. 2 2 2 10 d 3 d +74 d +9 d10=6 d 12 d +17 19. Perform the indicated operations. [(6y2 + 2y - 2) - (-y2 - 10y + 2)] - (-4y2 + 3y + 3) [ ( 6 y 2 +2 y2 ) (y 2 10 y +2 ) ](4 y 2+3 y +3 ) =( 6 y 2 + y 2 +4 y 2 ) + ( 2 y +10 y3 y ) + (223 )=11 y 2+ 9 y+( MODULE 3 HOMEWORK ASSIGNMENT 2 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. 125 t 2 +72 t+ 4978 ( 102 t 2225 t +3090 ) + ( 102+ 125 ) t 2 + (225+ 72 ) t + ( 3090+4978 ) 2 227 t 153+8068 23. (-4x - 2)2 Multiply. (4 x2 ) (4 x2 )=16 x 2 +8 x+ 8 x+ 4 24. Divide. 50 x 3 - 70 x 2 10 x 3 2 50 x 70 x =5 x 2 ; =7 x 10 x 10 x answer 2 5 x 7 x Divide. 25. x 4 - 10 x 2 + 31 x2 - 5 ( x 410 x 2+31 ) x 25 x 25+ 6 x 5 2 MODULE 3 HOMEWORK ASSIGNMENT 3 27. Evaluate 4x^0+5 4 x 0 +5=( 4 x 1 )+ 5=4+5=9 29. Simplify x^-7/y^-2 x7 y 2 = y 2 x 7 30. Multiply (x-9)(x+9) ( xx )=x 2 (99 )=81 therefore , ( x9 )( x +9 )=x 281