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Alg2MidTermReview Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Solve: 3(x + 2) + 8 = 5x + 6 ____ 2. f(x) = 3x + 2 and g(x) = -2x+ 7 Find f(g(6)) ____ 3. The expression models the height of an object t seconds after it has been dropped from a height of 1700 feet. Find the height of an object after falling for 1.7 seconds. Solve the equations. ____ 4. ____ 5. ____ 6. A rectangle is 3 times as long as it is wide. The perimeter is 110 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary. Solve the inequality.. ____ 7. -3x + 6 > 15 ____ 8. Write the equation of a line in standard for… slope = –3; (–1, 2) ____ 9. Find the point-slope form of the equation of the line passing through the points (–3, –7) and (1, –4). ____ 10. 1 Find an equation for the line through (–6, –5) and perpendicular to y = x + 3. 2 ____ 11. 3 Find an equation for the line through (–5, –7) and parallel to y = x – 3. 2 ____ 12. What is the vertex of the graph of the function y = (x + 1)2 + 5 ____ 13. Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. y = -2x2 and y = -2x2 + 3 ____ 14. Write the equation that is the translation of y = x2 right 2 units and up 12 units. Solve the system. ____ 15. ____ 16. _____ 17. Find the values of x and y that maximize the objective function P = 5x + 3y for the graph. What is the maximum value? Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. ____ 18. ____ 19. Identify the vertex and the y-intercept of the graph of the function . Factor the expression. ____ 20. ____ 21. ____ 22. ____ 23. ____ 24. ____ 25. Solve by factoring. ____ 26. Solve the equation by finding square roots… ____ 27. Simplify using the imaginary number i. Write the number in the form a + bi. ____ 28. ____ 29. –10 – Simplify the expression. ____ 30. ____ 31. ____ 32. ____ 33. =0 Solve the quadratic equation by completing the square. ____ 34. ____ 35. Rewrite the equation in vertex form… Use the Quadratic Formula to solve the equation. ____ 36. ____ 37. Classify –6x5 – 2x4 + 7x3 by degree and by number of terms. ____ 38. Write the expression (x + 5)(x – 2) as a polynomial in standard form. ____ 39. Write a polynomial function in standard form with zeros at –5, 2, and –4. ____ 40. Find the zeros of ____ 41. Divide ____ 42. Divide using synthetic division… ____ 43. Use synthetic division to find P(4) for and state the multiplicity. by x – 2 using Long Division. .