Math 009 Midterm Exam I 1 Please remember to show ALL of your work on every problem. 7 − 2 − 6 + 32 1. Simplify the expression: 2. Simplify the expression: 3 Evaluate the expression if x = -3, y = 4, and z = –5: 3xy − 2 z 2 4. Simplify: 1 5 + 9 6 2 5 − 3 12 32 − 5 −6 2 − 2 3 ( −7 ) 2 −1 Math 009 Midterm Exam I 2 5. What number is 64% of 76? 6. The sales tax on the purchase of a sofa is $38.95. If the tax rate is 8.2%, find the purchase price of the sofa (not including the tax). 7. The city of Novato, CA had a population of 47,603 in the year 2000. If Novato had an 8.6% increase in population from 2000 to 2013, find the amount the population increased and find the new population in 2013. Round to the nearest whole person. 8. A restaurant check for 4 people totaled $86.36. How much tip should be left if the host decided to tip the server 20% of the total bill? Find the total cost of the dinner (including the tip). 9. Solve the proportion: 5 18 = 12 3 x − 3 Math 009 Midterm Exam I 3 10. Solve the following equation and check your answer in the original equation. Please show all work. 3t − 7 = 8t + 3 11. Solve the following equation and check your answer in the original equation. Please show all work. 2 (5x −12) = 3 (8x + 6) 12. Solve the following equation and check your answer in the original equation. Please 3( z − 6) = 2z − 7 show all work. 4 13. Solve the following equation and check your answer in the original equation. Please 7 ( x + 1.85) = 6 x show all work. Math 009 Midterm Exam I 4 14. Solve the following equation and check your answer in the original equation. Please show all work. 5 ( 3x − 4) − 2 x = −12 − (8 − 6 x ) + 5x Math 009 Midterm Exam I 5 15. Solve the following equation and check your answer in the original equation. Please show all work. 2.4 ( 2 x + 3) = −0.1( 2 x + 3) 16. Alexa drives 285 miles in four and a half hours. What is her average speed during the drive? Round your answer to the nearest tenth. 17. Sean is about to buy a new house. His realtor tells him that the home he is buying cost $198,000 when it was last sold. If the current price of the home is $297,000, what was the percent of increase in the price of the house? 18. A sports product company currently produces 3,400 footballs per month. If production decreases by 6%, find the amount of decrease and the new number of footballs produced. 19. A real estate agent earned a commission of $12,850 for selling a house. Find the selling price of the house if the agent earned 4% commission. Math 009 Midterm Exam I 6 20. Chloe’s Manufacturing Company borrows $295,000 for 5 years at a simple interest rate of 4.8%. Find the interest paid on the loan and the total amount paid. 
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