MTH 208 Week 5 Final Exam This tutorial contains 3 sets of finals with different values 1. � Calculate the sum of 1/7 and 1/3. 2. � Calculate the product of 1/3 and 1/4. 3. � Select the expression that represents the statement “22 more than a number”�. 4. � Determine the value of 5(x+7)-3 when x=9. 5. � Determine the value of x(8-x)+9 when x= -4. 6. � Select the expression that represents the statement “3 times than a number”�. 7. � There are 16 ounces in a pound. How many ounces are in 7 pounds? 8. � In a given training week, a swimmer completes 1/4 mile on day one, 2/5 mile on day two, and 3/7 mile on day three. How many total miles does the athlete swim in the given week? 9. � Select the simplified expression for 8(x-6)-6(x-1) +9x. 10. The temperature on one day in January for Phoenix,AZ, is 52 degrees Fahrenheit.On the same day in Barrow, AK, the temperature is -17 degrees Fahrenheit. What is the difference between these two temperatures? 11. Solve 8x+6=1. 12. Select the expression that is equivalent to -2(x-4). 13. A clothing store offers a 60% discount on all purchases. What is the discount in dollars (before tax)for an item originally costing $ 20.00 dollars? 14. A taxi company charges passengers $2.40 for the first mile and $1.20 per mile for each additional mile .How much would the bill is for a 15 mile trip? 15. A team needs to save up at least $400 for new uniforms and currently has $210. They decide to hold a fundraiser where they can earn $7 in profits for each item sold. What inequality could be solved to determine the minimum number, n, of items to be sold? 16. The temperate on a summer day is 77° Fahrenheit. The formula to convert temperature to ° Celsius: °C = 5/9 (°F – 32°) .what is the corresponding temperature in degrees Celsius 17. A family travels at an average rate of 41 miles per hour for a given road trip. How long will it take them to reach their destination 246 miles away? 18.Solve 1/3(5x-5)=7 19.Solve the inequality -5/9x-6 >-5 Solve the inequality 0.7(0.1x+0.7)<=-0.7Consider the following graph. What are the coordinates of point A? 20. A line passes through the points (-10 -4) and (-1 2). What is the slope of a line that passes through points? 21. A line passes through the points (-10 -4) and (-1 2). What is the y intercept of a line? 22. Which line is perpendicular to the line y=1/2x+9 23. Which set of points are on the line y=2x-1 24.Consider the following system of equations.y=4x-4y-4x=3. What can you conclude about the systems of equations? 25.Identify the solutions of the system of equations if any -4x-4y=8 8y=-8x-16 26. Identify the solutions of the system of equations if any x+3y=74x-3y=3 27. Identify the solutions of the system of equations if any 4x+6y=16 y=5-3x 28. Identify the solutions of the system of equations if any -3x-4y=28y=-8x-16 29. Identify the solutions of the system of equations if any 3x+3y=4 5x-4y=3 30. Identify the solutions of the system of equations if any x=1y=1 31. Identify the solutions of the system of equations if any 7x+2y=26x-2y=4 32. Identify the solutions of the system of equations if any 3x-2y=65x=5-25y 33. A system of inequalities is defined by the following formulas.10x+6y<306-10y>30which of the graph represents its solution? 34. Simplify (6x) ^2 35. Simplify x^2. x^5. x^2 43.Simplify (xy) ^-3/(x^-5y) ^3 44.Express 0.00078 in scientific notation. 45.Express 770000 in scientific notation.