Math119PretestReview-Questions

Math119PretestReview-Questions - Math 119 Pretest Review...

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Page 1 Math 119 Pretest Review – Questions Linear Equations Find the slope of the line passing through the given points: 1. (2, -5); (0, 2) 2. (3, -4); (3, 0) 3. (-1, -2); (1, 4) 4. Find the equation of the line with slope 2 that passes through (-2,-3). Write your answer in slope- intercept form. 5. Find the general form of the equation of the line that passes through (-1,6) and is parallel to the graph of 0 4 3 2 = + y x . 6. Find the general form of the equation of the line that passes through (4,-2) and is parallel to the graph of 0 3 = y x . Quadratic Equations Rewrite the following equations in general quadratic form: 7. 5 2 3 1 1 = + x x 8. 1 5 2 3 2 + = x x 9. 2 1 + = + x x x Complete the square for the following functions: 10. 5 8 2 2 + x x 11. 7 4 2 x x 12. x x 4 2 2 Factoring Factor: 13. y y x y x 28 16 4 2 3 14. 14 7 2 2 3 + x x x 15. a ax y xy 3 3 5 5 2 2 + + + (Group in pairs) 16. 1 ) 3 ( 3 + x 17. 64 3 a 18. 64 9 2 y Finding Zeros/Roots 19. Use Descarte’s Rule of Signs to determine the possible number of positive and negative zeros: 1 ) ( 3 + = x x f 20. Given 5 6 3 ) ( 2 3 4 + = x x x x x f , determine the possible number of negative zeros. 21. List the possible rational zeros of the function: 2 3 2 3 ) ( 2 5 + + = x x x x f 22. List the possible rational zeros of the function: 6 5 3 4 ) ( 2 3 + + = x x x x f 23. Use the fact that i is a zero of f to find the remaining zeros: 6 5 7 5 ) ( 2 3 4 + + = x x x x x f 24. Find all of the zeros of the function: 144 25 ) ( 2 4 + + = x x x f 25. Find all the real zeros of the polynomial function: 48 16 3 ) ( 2 3 + = t t t t g 26. Use the Intermediate Value Theorem to estimate the real zero in the interval [1, 2]: 2 2 3 2 3 4 + + + x x x x 27. Use the Intermediate Value Theorem to estimate the real zero in the interval [3, 4]: 11 7 5 2 2 3 + x x x 28. Use the Intermediate Value Theorem to estimate the real zero in the interval [0, 1]: 9 7 3 3 + x x
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Page 2 Long and Synthetic Division 29. Find all of the real roots:
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Math119PretestReview-Questions - Math 119 Pretest Review...

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