PreCalculus 3.1, 3.2 Review Simplify each expression. !"! !! !"! !!"" 2. 1. ! ! Solve each of the following quadratic equations. Use factoring, square root property, or the quadratic formula. Use each method at least once. Write the exact form of the answer. 3. π₯ ! + 9π₯ + 6 = 0 6. π₯ β 4 ! β 2 = β20 4. π₯ ! + 12π₯ + 8 = 0 7. π₯ ! β 11π₯ + 30 = 2 ! 5. 2 π₯ β 3 + 36 = 0 8. 2π₯ ! β 11π₯ + 25 = π₯ ! Solve each of the following quadratic inequalities. Show the x-βintercepts of the related function and sketch a graph. Write the final answer in interval notation. 9. π₯ ! + 4π₯ β 6 > 0 13. π π₯ = π₯ ! β π₯ β 6; π(π₯) > 0 ! 10. β π₯ + 1 β€ 5 14. π π₯ = βπ₯ ! + 1; π(π₯) > 0 11. π₯ ! β 2π₯ β 3 β€ 0 15. π₯ ! β 2π₯ + 2 > 0 ! 12. π₯ + 5 β€ 0 16. The profit made from the sale of Mcflyβs Hoverboardsβ’ can be modeled by the function π π₯ = β0.5π₯ ! + 175π₯ β 3300, where x is the number of board made and sold and π π₯ is the profit. What is greatest number of boards that can be made while breaking even? 17. A tennis court is laid out so that the length is 4 more than two times the width. The area is 2400 square feet. Write and solve a quadratic equation to find the dimensions of the court. Round to the nearest tenth. PreCalculus 3.1, 3.2 Review -β Answers 1. 8 β π 2 ! !! ! ! ! 2. + β9 ± 57 2 4. β6 ± 2 7 5. 3 ± 3π 2 6. 4 ± 3π 2 7. 4, 7 3. 8. !!± !" ! 9. π₯ β ββ, β2 β 10 βͺ β2 + 10, β 10. π₯ β ββ, β 11. π₯ β β1, 3 12. π₯ β { } 13. π₯ β ββ, β2 βͺ 3, β 14. π₯ β (β1, 1) 15. π₯ β ββ, β 16. 330 17. 33.7 ft by 71.3 ft

© Copyright 2022 Paperzz