Chapter 6 Test Review Name __________________________________________ 1. Simplify and list any excluded values: ππ(π₯π₯ ) = 2. Simplify, if possible: 6π₯π₯β12 π₯π₯ 2 β4 2π₯π₯ 2 +3π₯π₯β2 8π₯π₯β8 3. Simplify, if possible: π‘π‘β3 4. Simplify, if possible: 5π₯π₯+4 5. Simplify, if possible: β 6 ÷ π₯π₯+3 π₯π₯ π₯π₯β1 π‘π‘+1 15 + β 4π₯π₯+1 π₯π₯+3 π₯π₯β2 π₯π₯+1 π₯π₯ 2 β5π₯π₯ π₯π₯ 2 β25 Period _____ 6. Simplify: 7. Solve: 8. Solve: 4 β4 π₯π₯ 7 β7 π₯π₯ 3 π₯π₯+4 20 π₯π₯ = + 1 π₯π₯β1 20 π₯π₯+9 =1 9. Jackson can sand the floor in 12 hours. Charlie can do the same job in 9 hours. How long would it take if they worked together? 10. The current in a river is 4 mph. Oscarβs boat travels 35 miles downstream in the same amount of time it takes to travel 15 miles upstream. What is the speed of the boat in still water? 11. Divide: (32π₯π₯ 6 + 18π₯π₯ 5 β 27π₯π₯ 2 ) ÷ (6π₯π₯ 2 ) 12. Divide: (π₯π₯ 2 β 9π₯π₯ + 21) ÷ (π₯π₯ β 4) 13. Solve: π₯π₯ (π₯π₯ + 2) = 35 14. Solve: |π₯π₯ β 2| β€ 5 15. Solve: 2π₯π₯ π₯π₯β1 + π₯π₯ π₯π₯β3 =2 16. Factor: 3π₯π₯ 2 β 5π₯π₯ β 8 17. Factor: π¦π¦π¦π¦ β π₯π₯π₯π₯ β π¦π¦π§π§ 2 + π₯π₯π§π§ 2 18. Find the domain of ππ(π₯π₯ ) = 19. Find the domain of ππ(π₯π₯ ) = β2π₯π₯ β 11 2π₯π₯β3 π₯π₯ 2 β6π₯π₯+9 20. Give the equation of the line β in STANDARD FORM β that goes through (-1, 7) and (4, -3) 21. Find the equation of the li ne β in SLOPE-INTERCEPT FORM - that goes thru (-2, 5) and (-1, -4) 22. Solve: 4 β€ 3 β π₯π₯ β€ 6 23. Solve: οΏ½ 24. Solve: 3π₯π₯ β 7(π₯π₯ + 1) β₯ 4π₯π₯ β 5 2ππ + 6ππ = 4 3ππ β ππ = 6
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