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Core Math Semester TEST REVIEW #3 Name ____________________________ 20 points 1. Simplify 15x – 8y + 5+ 9x – 6y - 3 ___________________ Period ___________ 2. Solve 8(x-7) = 4x = 18 [show steps] x = ______ 3. Solve 10(x-3) = 5(2x+4) [show steps] x = ______ FOIL or multiply out 4. 3(x - 4)2 - 12 5. (x+2)(x - 3)2 Solve by quadratic equation: 6. 4x2 - 16x + 1= 0 7. 2x2 + 10x - 7= 0 8. 4x2 - 18x - 3= 0 Solve the logs 9. 1256x-1 = 625x-8 10. 36x+10 = (1/6)x-8 11. Log5+logx=8 12. 2x-1 = 10 13. log6(3x+4) = 2 14. 196x = (1/14)x+3 15. e2x-7=4 16. ln(3x+2) = 6 17. log(x-2) - log 4 = 5 Give the equation in vertex form: y = a(x-h)2 + k vertex (h,k) 18. Vertex (1,-4) and point (2,6) a = ____ y = _____________ 19. Vertex (-2,-3) and point (-3,-4) a = ____ y = ____________ A = Pert 20. Josh invests $5.500 at 1.7% annual interest compounded monthly. How much will she have in her account after 3 years? 21. Chris invests $8,300 at 1.3% compounded quarterly, how much will he have after 10 years? 22. If Cassie bought a car for $12,500 and the title fee is 2.5%, what is the total after adding 9% tax? 23. Bobbie bought a portable shed that is marked $2,300 with 25% off. What is the sale price? What is the total cost after 8.5% tax? Evaluate if a = -4 b = -1 c = 3 24. 7ab – 5c 5𝑏 25. 2𝑐+𝑎 11. 3bc + 7a – 2c 2𝑎−4𝑏 26. 3𝑐−30