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Allied MAT110 all assignments (module 1-8)

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Question;Module 1 Homework;Assignment for MAT 110;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. List all the factors of 88.;2. List all the prime numbers between 25 and;60.;3. Find the GCF for 16 and 17.;4. Find the LCM for 13 and 39.;5. Write the fraction in simplest form.;6. Multiply. Be sure to simplify the;product.;7. Divide.;Write the result in simplest form.;8. Add.;9. Perform the indicated operation. Write the result in simplest form. ?;10. Perform the indicated operation. Write the;result in simplest form. ?;11. Find the decimal equivalent of rounded to the;hundredths place.;12. Write 0.12 as a fraction and simplify.;13. Perform the indicated operation. 8.50 ? 1.72;14. Divide.;15. Write 255% as a decimal.;16. Write 0.037 as a percent.;17. Evaluate.;56 ? 7 ? 28 ? 7;18. Evaluate.;9? 42;19. Multiply: (-1/4)(8/13);20. Translate to an algebraic expression: Twice;x, plus 5, is the same as -14.;21. Identify the property that is illustrated by;the following statement. 5 + 15 = 15 + 5;22. Identify the property that is illustrated by;the following statement.;(6 ?;13)? 10 = 6 ? (13 ?;10);23. Identify the property that is illustrated by;the following statement.;10? (3 + 11) = 10? 3 +;10? 11;24. Use the distributive property to remove the;parentheses in the following expression.;Then simplify your result where possible. 3.1(3 + 7);25. Add. 14;+ (?6);26. Subtract.?17;? 6;27. Evaluate. 3;? (?3) ? 13 ? (?5);28. Multiply.;29. Divide.;30. Evaluate. (?6)2;? 52;31. Evaluate. (?9)(0);+ 13;32. A man lost 36 pounds (lb) while;dieting. If he lost 3 pounds each week;how long has he been dieting?;33. Write the following phrase using symbols: 2;times the sum of v and p;34. Write the following phrase using;symbols. Use the variable x to;represent the number: The quotient of a number and 4;35. Dora puts 50 cents in her piggy bank every;night before she goes to bed. If M;represents the money (in dollars) in her piggy bank this morning, how much;money (in dollars) is in her piggy bank when she goes to bed tonight?;36. Write the following geometric expression;using the given symbols.;times the Area of the;base (A) times the height(h);37. Evaluate if x = 12, y;=, and z =.;38. A formula that relates Fahrenheit and;Celsius temperature is. If the current;temperature is 59?F, what is the Celsius temperature?;39. If the circumference of a circle whose;radius is r is given by C = 2?r, in which?? 3.14;find the circumference when r = 15 meters (m).;40. Combine like terms: 9v + 6w +;4v;41. A rectangle has sides of 3x ? 4 and 7x;+ 10. Provide a simplified expression;for its perimeter.;42. Subtract 4ab3 from the sum;of 10ab3 and 2ab3.;43. Use the distributive property to remove the;parentheses, then simplify by combining like terms: 7(4s ? 5) + 9;44. Multiply: 8u6? 3u3;45. Simplify the expression, if possible;Module 2 Homework;Assignment for MAT 110;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. Is 12 a solution to the equation 7 ? x =;5?;2. Is ?9 a solution to the equation 9 ? 8x =;81?;3. Solve -2x+7>=9;4. Solve 3(x-5)<2(2x-1);5. Solve.;8x + 2 = 7x;6. Solve.;7x ? 0.96 = 6(x ? 0.67);7. Solve for x. 4x = ?8;8. A company estimates that 5% of the parts;they manufacture are defective. If 8;defective parts are found one week by the quality assurance testers, how many;parts were manufactured that week?;9. Solve for x. 35 ? 7x = 35;10. Solve for x. ? 5 = 5;11. Solve for x. 4(x ? 2) + 4x = 5x + 4;12. Solve for x. 7x ? 3 + 3x = 10x ? 3;13. Solve for x. ?10x + 1 ? 7x = ?17x + 7;14. Solve the literal equation for y. x + 5y = 25;15. A rectangular solid has a base with length 5;cm and width 2 cm. If the volume of the;solid is 100 cm3, find the height of the solid.;[Hint: The volume of a rectangular solid is given by V = LWH.];16. Translate the following statement into an;algebraic equation. Let x represent the;number. 1 less than 15 times a number is;9 times that same number.;17. The sum of three consecutive odd integers is;201. Find the integers.;18. At 9:00 a.m. a truck leaves the truck yard;and travels west at a rate of 35 mi/hr.;Two hours later, a second truck leaves along the same route, traveling;at 70 mi/hr. When will the second truck;catch up to the first?;19. The base of an isosceles triangle is 1 in.;less than the length of one of the equal sides.;If the perimeter of the triangle is 20 in., find the length of each of;the sides.;20. Identify the amount in the statement;318 is 53% of 600.;21. Elaine was charged $126 interest for 1 month;on a $1800 credit card balance. What was;the monthly interest rate?;22. A broach was marked up $150 from cost, which;amounts to a 50% increase. Find the;original cost of the broach.;23. Solve the solution set. 8x + 3 10x ? 8;25. An arithmetic student needs an average of 70;or more to receive credit for the course.;She scored 76, 69, and 84 on the first three exams. Write a simplified inequality representing;the score she must get on the last test to receive credit for the course.;26. The length of a rectangle is 2 in. more than;twice its width. If the perimeter of the;rectangle is 28 in., find the width of the rectangle.;27. Solve and check: 6x=4(x-5);28. Solve 1/4x<=3/8;29. Solve 8x-7 23.5;Module 3;Homework Assignment for MAT 110;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;2. Simplify.;3. Classify the following as a monomial;binomial or trinomial, where possible.;4. Classify the following as a monomial;binomial or trinomial, where possible.;4x2;? 3xy + y2;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.;8. True or False? The degree of a trinomial is never 4.;9. Evaluate (assume x does not equal;0). 8x0;10. Write using positive exponents and simplify;if possible. 5?3;11. Simplify and write your answer with only;positive exponents.;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.;15. The distance from a star to a planet is 7.4? 1018 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. 7y ? (?10y ? 9x);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;24. Divide.;25. Divide.;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);Module 4;Homework Assignment for MAT 110;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. Find the greatest common factor. 4, 6, 12.;2. Factor.;24x3 + 30x2;3. Factor out the GCF with a negative;coefficient. ?24m2n6;? 8mn5 ? 32n4;4. Factor completely by factoring out any;common factors and then factoring by grouping.;6x2;? 5xy + 6x ? 5y;5. The GCF of 15y + 20 is 5. The GCF of 15y + 21 is 3. Find the GCF of the product (15y +;20)(15y + 21).;6. The area of a rectangle of length x;is given by 15x ? x2.;Find the width of the rectangle in terms of x.;7. Factor the trinomial completely. x2 + 8x ? 9;8. Factor the trinomial completely. 2x2 + 16x + 32;9. Complete the following statement. 6a2 ? 5a + 1 = (3a;? 1)(__?__);10. State whether the following is true or;false. x2 ? 7x;? 30 = (x + 3)(x? 10);11. Factor completely. x2 + 11x + 28;12. Factor completely. 15x2 + 23x + 4;13. Factor completely. 6z3 ? 27z2;+ 12z;14. The number of hot dogs sold at the;concession stand during each hour iih;after opening at a soccer tournament is given by the polynomial 2h2;? 19h + 24. Write this polynomial;in factored form.;15. Find a positive value for k for which;the polynomial can be factored.x2;? kx + 29;16. Factor completely. 9x2 + 4;17. Determine whether the following trinomial is;a perfect square. If it is, factor the;binomial.x2 ? 12x + 36;18. Factor completely. 25x2 + 40xy + 16y2;19. Factor. s2(t? u) ?;9t2(t ? u);20. State which method should be applied as the;first step for factoring the polynomial.;6x3 + 9x;21. State which method should be applied as the;first step for factoring the polynomial.;2a2 + 9a + 10;22. Solve the quadratic equation. 5x2 + 17x = ?6;23. Solve the quadratic equation. 3x(2x ? 15) = ?84;24. The sum of an integer and its square is;30. Find the integer.;25. If the sides of a square are decreased by 3;cm, the area is decreased by 81 cm2.;What were the dimensions of the original square?;26. Write in simplest form.;27. Write in simplest form.;28. Write the expression in simplest form.;29. The area of the rectangle is represented by;5x2 + 19x + 12.;What is the length?;5x;+ 4;30. Multiply.;31. Multiply.;32. Divide.;33. Divide.;34. Perform the indicated operations.;35. Find the area of the rectangle shown.;36. Subtract.;Express your answer in simplest form.;37. Subtract.;Express your answer in simplest form.;38. Add.;Express your answer in simplest form.;39. Add.;Express your answer in simplest form.;40. Add or subtract as indicated.;41. One number is 8 less than another. Let x represent the larger number and;use a rational expression to represent the sum of the reciprocals of the two;numbers.;42. Simplify.;43. Simplify.;44. What values for x, if any, must be;excluded in the following algebraic fraction?;45. What values for x, if any, must be;excluded in the following algebraic fraction?;46. Solve for x. + 6 = 1;47. Solve for x.;48. Solve for x.;49. One number is 3 times another. If the sum of their reciprocals is, find the two numbers.;50. A 5-foot pole casts a shadow of 4 feet. How tall is a tree with a shadow of 16 feet?;Module 5;Homework Assignment for MAT 110;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. Determine which of the ordered pairs (0, 1), (2, 0), (0, ?1), (?8, 5) are solutions for the equation x + 2y;= 2.;2. Complete the ordered pairs so that each is;a solution for the equation 2x + y = 10.;(5,__?__);(__?__, 10), (__?__, ?2), (7, __?__);3. Give the coordinates of the point graph;4. Give the coordinates of the point graphed;below.;5. Find the slope of the line through the;points (10, 7) and (8, ?10).;6. Find the slope of the line through the;points (?3, ?2) and (?3, 0).;7. Find the slope of the line through the points;(?6, 3) and (5, 3).;8. Find the slope of the graphed line.;9. Find the slope of the graphed line.;(Gridlines;are spaced one unit apart.);10. Find the slope of the graphed line.;11. Find the slope of the line that passes;through (3, 2) and (8, 11).;12. Find the;slope of a line that passes through (3, 7) and (-2, 11).;13. Find the;slope of a line that passes through (3, -2) and (-1, -6).;14. Graph;3x + 2y = 6.;A);(Gridlines;are spaced one unit apart.);C);(Gridlines;are spaced one unit apart.);B);(Gridlines;are spaced one unit apart.);D);(Gridlines;are spaced one unit apart.);15 Determine;whether (0, 5) is a solution for y=3x-5.;16. Determine;whether (-2, 3) is a solution for y=-2x+7.;17. Determine;whether (1, 0) is a solution for -6x+5y=-6;18. Determine;whether (12/5, -1) is a solution for 5x-3y=9;19. Determine;whether (1, 5) is a solution for y=-2x+7.;20. Determine;whether (-1, -8) is a solution for y=x-5.;Module 6;Homework Assignment for MAT 110;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. Find the y-intercept of the line;represented by the following equation. ?2x;+ 2y = 16;2. Write the equation of the line with slope;?4 and y-intercept (0, ?9).;3. Write the equation of the line with slope and y-intercept;(0, 3).;4. One day, the temperature at 9:00 A.M. was;49?F, and by 3:00 P.M. the temperature was 61?F. What was the hourly rate of temperature;change?;5. Determine which two equations represent;parallel lines.;(a) y = ?7x + 3 (b) y = 7x + 3 (c) y = x + 3 (d) y = ?7x + 6;6. Determine which two equations represent;perpendicular lines.;(a) y = x ? 5 (b) y = 5x ? (c) y = x + (d) y = x ?;7. Are the following lines parallel;perpendicular, or neither?;L1;through (?4, ?7) and (1, 3);L2;through (2, 6) and (4, 10);8. Are the following lines parallel;perpendicular, or neither?;L1 with;equation x ?5y = 25;L2 with;equation 5x + y = 5;9. Find the slope of any line perpendicular;to the line through points (8, 4) and (9, 7).;10. A line passing through (6, ?10) and (?1, y);is perpendicular to a line with slope. Find the value of y.;11. Use the concept of slope to determine whether;the given figure is a right triangle (i.e., does the triangle contain a right;angle?).;12. Write the equation of the line that passes;through point (0, 9) with a slope of 6.;13. Write the equation of the line passing;through (1, ?8) and (1, 3). Write your;results in slope-intercept form, if possible.;14. Write the equation of the line with x-intercept;(?9, 0) and undefined slope. Write your;results in slope-intercept form, if possible.;15. A copier was purchased by a company for;$7,500. After 5 years it is estimated;that the value of the copier will be $4,500.;If the value in dollars V and the time the copier has been in use;t are related by a linear equation, find the equation that relates V;and t.;16. You have at least $60 in change in your;piggy bank, consisting of quarters and pennies.;Write an inequality that shows the different number of coins in your;piggy bank.;17. If f(x) = ?x3;? x2 + 2x + 6, find f(?2), f(0), and f(3);18. Rewrite the equation y = 2x +;2 as a function of x.;19. The inventor of a new product believes that;the cost of producing the product is given by the function: C(x);= 2.75x + 2,000. How much does it;cost to produce 6,000 units of his invention?;20. Given f(x) = ?5x + 3;find f(a + 1).;21. Write the equation of a line that passes;through (0, 4) and has a slope of -1/5.;22. Write the equation of a horizontal line with;a y-intercept of 7.;23. What is the slope and the y-intercept of;y=3x+1?;24. What is the slope and y-intercept of y=-3?;25. What is the slope and y-intercept of;6x+y=10?;26. Determine whether the lines are parallel;perpendicular, or neither.;Y=-3x+1;Y=-3x-8;27. Determine whether the lines are parallel, perpendicular;or neither.;2x-y=-10;2x+4y=2;28. Determine whether the lines are parallel;perpendicular, or neither.;Line 1 passes;through (0, 3) and (2, 5);Line 2 passes;through (5, -4) and (-3, 3);29. Write the equation of a line that passes;through (4, 0) and (-4, -5). Write your;answer in slope-intercept form.;30. Write the equation of a line that passes;through (-1, 2) and (3, 5). Write your;answer in slope-intercept form.;31. Write the equation of a line that passes;through (1, -45) with a slope of -3.;Write your answer in slope-intercept form.;32. Write the equation of a line that passes;through (-2, 5) with a slope of -4.;Write your answer in slope-intercept form.;33. Write the equation of a line that passes;through (-2, 5) and (-6, 13). Write your;answer in slope-intercept form.;34. f(x)=1/2x;Find f(0);35. f(x) = 4x^2+3x Find f(-2);36. f(x)=3x+3;Find f(-1);37. f(x)=5x^2-7;Find f(0);Module 7;Homework Assignment for MAT 110;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. Solve the system by addition.;x + 4y;= 2;3x ? 2y;= ?22;2. Solve the system by addition.;x + y;= 8;x ? y;= 8;3. Solve the system by addition.;5x ? 3y;= 13;4x ? 3y;= 11;4. The sum of two numbers is 33. Their difference is 7. What are the two numbers?;5. Sally bought three chocolate bars and a;pack of gum and paid $1.75. Jake bought;two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost;of a pack of gum.;6. Adult tickets for a play cost $16 and;child tickets cost $6. If there were 25;people at a performance and the theater collected $260 from ticket sales, how;many adults and how many children attended the play?;7. Solve the system by substitution.;x + 3y;= ?4;2x + 2y;= ?8;8. The difference of two numbers is 36. The larger is 6 less than 4 times the;smaller. What are the two numbers?;9. The base of a ladder is 6 feet away from;the wall. The top of the ladder is 7;feet from the floor. Find the length of;the ladder to the nearest thousandth.;10. A company produces doll houses and sets of;doll furniture. The doll houses take 3;hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours;per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll;houses and 10 sets of furniture be produced per week. Write a system of inequalities representing;this situation, where x is the number of doll houses and y is the;number of furniture sets.;11. Evaluate, if possible.;12. Evaluate, if possible.;13. State whether is rational or;irrational.;14. State whether is rational or;irrational.;15. The area of a square is 83 cm2. Find the length of a side to the nearest;hundredth.;16. The time in seconds that it takes for an;object to fall from rest is given by, in which s is the distance fallen (in feet). Find the time required for an object to fall;from the ground from a building that is 800 feet high. Round your answer to the nearest hundredth of;a second.;17. Simplify.;18. Simplify.;Assume x represents a positive real number.;19. Simplify.;20. Decide whether the following is written in;simplest form.;21. Simplify by combining like terms.;22. Simplify by combining like terms.;23. Find the perimeter of the triangle shown in;the figure. Write your answer in reduced;radical form.;24. Perform the indicated multiplication. Then;simplify.;25. Perform the indicated multiplication. Then simplify the radical expression.;26. Perform the indicated multiplication. Then simplify the radical expression.;27. Perform the indicated division. Rationalize the denominator, if necessary. Then, simplify.;28. Solve.;Module 8;Homework Assignment for MAT 110;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. Solve for x. x2 + 2 = 6;2. Solve for x. (x + 4)2 = 3;3. Solve for x. ?9(x ? 3)2 = ?7;4. The base of a 19-ft ladder is 6 feet away;from the wall. How far above the floor;is the top of the ladder? Give your;answer to the nearest thousandth.;5. Solve the equation for x. (2x ? 1)2 ? 9 = 0;6. The square of 3 more than a number is;36. Find the number.;7. Determine whether the following trinomial;is a perfect square. x2;+ 4x + 4;8. Find the constant term that should be;added to make the following expression a perfect-square trinomial. x2 + 7x;9. Solve by completing the square. x2 ? 4x ? 60 = 0;10. The length of a rectangle is 5 cm more than;4 times its width. If the area of the;rectangle is 60 cm2, find the dimensions of the rectangle to the;nearest thousandth.;11. Find two consecutive positive integers such;that the sum of their squares is 61.;12. Use the quadratic formula to solve the;following equation. x2;= ?x + 7;13. Use the quadratic formula to solve the;following equation. 2x2;+ 3x ? 3 = 0;14. The height h in feet of an object;after t seconds is given by the function;h = ?16t2;+ 40t + 8. How long will it take;the object to hit the ground? Round your;answer to the nearest thousandth.;15. Solve for x.;16. Solve.;(x ? 3)2 = 6 Solve;a quadratic equation by completing the square;17. Solve.;2x2 ? 5x ? 10 = 0 Solve a quadratic question using the;quadratic formula;18. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+16x;19. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2-12x;20. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+2x;21. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2-8x;22. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+x;23. Find the constant term that should be added;to make the following expression a perfect-square trinomial. X^2+9x;24. Solve by completing the square. X^2+8x=-15;25. Solve by completing the square. X^2+6x+2=0;26. Solve by completing the square. X^2+x-1=0;27. Solve by using the quadratic formula. X^2+11x-12=0;28. Solve by using the quadratic formula. X^2-6x+9=0;29. Solve by using the quadratic formula. 3x^2-7x=3;30. An entry in the Apple Festival Poster;Contest must be rectangular and have an area of 1200 square inches. Also, its length must be 20 inches longer;than its width. Find the dimensions each;entry must have.

 

Paper#60696 | Written in 18-Jul-2015

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