Pre calculus math questions

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timer Asked: Jun 17th, 2015

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Math Final (1)44.docx 

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1. 2. 3. 4. 5. 6. Find the sum of the following arithmetic series: 17+ 21+ 25...+221 In an arithmetic sequence t₅=32 and t₂₀=5. What is t₃₀? Find t₁₄ in the following geometric sequence: 2000, 500, 125,... Does the following geometric series have a finite sum? If not, how do you know? If it does have a finite sum, find the sum. 22,-11,5.5,-2.75,... Write as an entire radical: 3n² ³√5 Write √96m³n⁶ as a mixed radical in simplest form. Assume all variables represent positive numbers (in other words you do not need to worry about restrictions) Simplify 5f√24f³-7√54f⁵+f²√6f+6f Rationalize the denominator 5√3+√2 over √3- √2 7. 8. 9. 10. 11.Solve the radical equation: 5+√3x-5=x 12.Solve by factoring: 2x+25=15x 13.Solve any way you like. Express answers in simplest radical form. a) (2m+6) 5= 8 b) 2x(x-6)+3x=2x+9 12. Use the discriminant to determine the number of root/solutions for each equation: a) 6+5x²=8x b) 2x²-1.8x-1.25=0 13. Consider the following parabola: y=-2(x-3)² without sketching the parabola, state the following a) The coordinates of the vertexes: b)the range: c)whether it has a maximum or minimum d)if the parabola is narrow, wide, or neither: 14. What is the equation of the parabola that has its vertex at (3,-2) and passes through the point (7, 11) 15. Sketch the following parabola. Graph at least seven points: y=-½x²+2x-3 (graph) 16. Switch the following equation into standard form (by completing the square): y=2x²-8x+3 17. Solve the inequality. Express your answer on a number line and algebraically. 4x²+8x+3>0 18. Graph the following system of inequalities: y>(x-3)²+2 4x+3y≥2y 19. Solve the following system of equation algebraically: y= 2(x+1)²+3 y=5x²-14x+29 20. Simplify each expression. Make sure to state the non-permissible values. 5x²-11x+2 ➗ 2x²+10x-28 x²-3x-28 x²+11x+28 b) 2d + 3 d²-6d+8 d²-d-2 21. Solve each equation: a) b = 2 b b²-4 b²-b-b b) a + 3= 5 a-5 a-5 22. Solve the absolute value function |x² - 7x +6|=4 23. Write the following in piecewise notation: y=|1/3x-2| 24. Graph the following functions a) y=|-2x-5| . y= 1 (x-1)² -4 25. What is the reference angle for 955°
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