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MAT 110 MODULE 2 CHECK YOUR UNDERSTANDING 1. Translate the following statement into an algebraic equation. Let x represent the number. 6 times a number is 14 more than that number. 2. Graph the solution set of x < –2. 3. Is 13 a solution to the equation 8 – x = 5? 4. An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 79, 60, and 91 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. 5. A necklace was marked up $225 from cost, which amounts to a 50% increase. Find the original cost of the necklace. 6. Solve. 3x – 9 = 2x 7. Solve for x. –8x – 3 – 10x = –18x + 10 8. At 9:00 a.m. a truck leaves the truck yard and travels west at a rate of 50 mi/hr. Two hours later, a second truck leaves along the same route, traveling at 75 mi/hr. When will the second truck catch up to the first? 9. Solve and graph the solution set. 10x + 7 < 9x + 12 10. A rectangular solid has a base with length 3 cm and width 8 cm. If the volume of the solid is 216 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.] 11. Upon returning to the U.S. from Canada, Burgette exchanged her remaining 150 Canadian Dollars for 134.53 U.S. Dollars. What exchange rate did she receive? [Hint: Use the equation 150x = 134.53 to solve this problem. Round to the nearest thousandth.] 12. Solve for x. –3(x + 1) = 2(x – 8) + 3 13. Identify the base in the statement "31% of 400 is 124." 14. Solve for x. 10 – 5x = 25 15. Solve for x. x – 2 + 7x = 8x – 2 16. Elaine was charged $840 interest for 1 month on a $5600 credit card balance. What was the monthly interest rate? 17. Solve for x. – 2 = 8 18. Solve the literal equation for b. a = bc2 19. Solve. 4x – 0.76 = 3(x – 0.03) 20. Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo? Math Assignment Help, Math Homework help, Math Study Help, Math Course Help