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Integrated Algebra 1A Final Exam Review ­ Review Sheet #6 Name ________________________ Directions: Answer each question, by putting the correct answer choice on the answer line. Show all work. 1. What are the roots of the equation x2 ­ 9x ­ 36 = 0? 2. If 3x2 + x ­ 4 is subtracted from 7x2 ­ 3x ­ 5, what is the difference? 3. Given Set A = {2, 4, 6, 8} and Set B = {2, 3, 5, 6}, what is the set A ∪ B? 4. Tabitha earns $5 per hour babysitting. She already has $104 saved. She would like to buy a Kindle Fire which costs $199. If h represents the number of hours Tabitha babysits, write an equation that can be used to determine the number of hours she would need to work to have enough money to buy the Kindle. How many hours would she need to babysit? 5. The price of gas is now $3.54 per gallon. If Melissa's car drives 26 miles per gallon of gas, how much would it cost her to drive 182 miles? 6. Karen measured a 32 oz bottle of soda to be 35 ounces. What is her relative error in measuring, rounded to the nearest thousandths? What is her percent error, rounded to the nearest tenth? 7. Harry bought a car in 2011, for $21,890. This year he sold his car for $14,550. What was the percent change in price, to the nearest whole number? Was this a percent increase or decrease? 8. If 5x - 3a = 12a + 4x, then solve for x. 9. State the value of the expression (3.5 x 103)(4.9 x 105) in scientific notation. 10. Margie wants to purchase a new desk which usually is priced at $699. This week it is on sale for 25% off the regular price. If tax is 7%, what is the total price that Margie will need to pay for the new desk? 11. The accompanying graph represents the yearly cost for skiing 0 to 5 times at Snowbunny Mountain. This includes a one time ski rental fee for the season and lift tickets for each day. What is the total cost of skiing 10 times at Snowbunny Mountain during the year? Yearly Cost $400 $360 $320 $280 $240 $200 $160 $120 $ 80 $ 40 0 1 2 3 4 5 12. Solve the following systems of equations graphically and check: y = 2x + 3 y = x + 2 13. Complete the table and use it to graph the equation y = x2 ­ 2x ­ 3, on the set of axes below. Using the graph, determine and state the solutions (roots) of the equation x2 ­ 2x ­ 3 = 0. x y The solutions of the equation are: __________