Microsoft Word - Lesson 4. Solving Other Types of Equations.docx Name: _____________________________________________________ Date: ______________________ MCR 6. Other types of equations Solve the...

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Microsoft Word - Lesson 4. Solving Other Types of Equations.docx Name: _____________________________________________________ Date: ______________________ MCR 6. Other types of equations Solve the following equations. Show your work. 9.?! − 5?" = 0 10. 18?! = 50? 11. ?! + 3?" − ? − 3 = 0 12. ?! + 6?" − 4? − 24 = 0 13. 4?# + 40?" − 44 = 0 14. 4?$ = 84?! Solve each equation 15. |3?| = 9 16. |−3? − 1| = 9 17. |1 − 5?| = 29 18. 7% " − 17 = 2 19.(3? − 1) ! " = (2? + 5) ! " 20. 3(5? − 1) ! " − 2 = 0 21. (3? + 2) ! # + 1 = 0 22. (3? + 1) ! # = −5 23. (3? + 1) ! # = −5 24. 3(2? + 6) ! $ − 6 = 0 Microsoft Word - Lesson 3. Complex & Quadratics.docx MDE 61 – Learning Support for Pre-Calculus 1 Name:_____________________________________________________________ Date: _________________ Lesson 3 (Complex Numbers and Quadratic Equations). SHOW ALL WORK. 1. For the complex number, identify the real number and the imaginary number. 2. Write the expression as a complex number in standard form. a) b) c) d) e) f) g) h) i) (8 + 5i) – (2 + 3i) j) k) l) 10 4i- + ( ) ( )5 2 3 2i i+ + - ( ) ( )7 5 3 2 3i i i- + - - - ( ) ( )2 4 3 9i i- + - + ( ) ( )5 2 2 3i i- - + ( )3 6 5i i- ( )2i i+ ( )( )2 3 1 4i i+ - ( )23 2i- i23 6 + i i +- + 2 3 i i 53 21 - + 3. Solve by factoring. a.) x2 – 64 = 0 b.) 8x2 – 2x – 18 = -15 c.) x2 + 3x = 40 d.) e.) 4x² – 8x = 3 f.) 3x² + 6x - 42 = 0 4. Solve by square roots. a.) b.) c.) d.) (x – 5)2 = 36 0132 2 =++ xx 24 81x = ( )24 3 7 39x - + = 25 6 113y- = 5. Solve using the quadratic formula. a.) 2x2 + 5x = -3 a = ___, b = ___, c = ___ b.) a = ___, b = ___, c = ___ c.) a = ___, b = ___, c = ____ 22 6x x- = - 23 2 5 0x x- - = Microsoft Word - Lesson 5. Linear Inequalities.docx Name: ______________________________________________________________ Date: _______________ MDE 61 – Lesson 5. Solving Linear Inequalities Homework: Solve and graph each inequality. Then check your solution. 1. 2m + 7 > 17 2. -2 – 3x ≥ 2 3. 7x - 1 < 26="" -="" 2x="" 4.="" 2x="" +="" 5="">< 3x="" -="" 7="" 5.="" 9r="" +="" 15="" ≥="" 24="" +="" 10r="" 6.="" 4y="" +="" 2="">< 8y="" –="" (6y="" –="" 10)="" 7.="" 5(2h="" –="" 6)="" –="" 7(h="" +="" 7)=""> 4h 8. –5x + 14 = –21 Define a variable, write an inequality, and solve each problem. Then check your solution. 9. Two thirds of a number decreased by 27 is at least 9. 10. The sum of two consecutive odd integers is at most 123. Find the pair with the greatest sum. Microsoft Word - Lesson 2. Solving linear equations worksheet guided practice.docx MDE 61 – Learning Support for Learning Pre-Calculus 1 Name______________________________________ Date_________________ Lesson 2. Solving Linear Equations Worksheet Simplify. Combine like terms. 1. 12y – 18y 2. –4(y + 5) 3. 3x + 6y – 9x + 4 4. 6(x – 9) + 10 – 3x 5. Is 4 a solution of 5(2 – x) = –10? Show work to justify your answer. Solve and check the following equations. Show all steps. 6. 4x + 20 = 0 7. 5x – 3 = 2x – 27 8. 6x – 8 = 2x + 16 9. 12 – 3x = 22 + 2x 10. x + 7x – 12 = –20 11. 7x + 4 – 13x = –1 + 23 12. 18 = 2x – 14 13. 4y – 8y = 4 – 32 14. 4y – 19 = –6y + 11