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Mathematics

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Name_______________________ Date_______________ Period________ Review for Spring Final 2015 14. Margaret has an equation of y = -3x + 3. If she shifts the graph down 5 units, what would the new equation be? 15. Write an equation representing the relationship between x and y. I. Solve for x 1. 4x + 7 = -2x – 11 2. 3(2x – 4) = 18 x y 3. -7x = -4x – (x + 8) II. Evaluate 4. If x = -6 and y = 0, then simplify 7y2 – 5x + 1 -3 6 -2 4 -1 2 0 0 16. Is the slope of the line below positive or negative? III. Underline the independent quantity and circle the dependent quantity. 5. The amount of air pollution depends on the number of cars on the road. V. Write the following equations in slope-intercept form. Identify the slope and y-intercept of each. IV. For #6 – 9, use the following table: 6. Write an equation that represents the table. 7. Give another point that would fit in the table. x 0 2 5 x 17. Is the line y = -2x + 7 increasing or decreasing? y -2 8 23 8. What is the constant (y-intercept)? 9. What is the coefficient (slope)? 10. Identify 3 points on the line y = ½ x + 7 18. 4x – y = 12 19. 3x + 4y = 12 VI. Domain and Range 20. Find the range of the function f(x) = 3x + 5 when the domain is {0, 1, 2}. 21. Find the domain of the function f(x) = -5x – 4 when the range is {1, -9, 6}. 11. Write an equation of a line that would contain the points (3, 5) and (6, 11). VII. Solve and graph on a number line the following inequalities. 12. Write the equation of a line that has a slope of 2 and passes through the point (3, 13). 13. Write the equation of a line that contains the point (-4, 7) and has a slope of –½. 22. –2(2x – 5) < 14 23. 7x + 6 > 3x – 6 VIII. For #24, use graph paper. 24. Graph the inequality -8x + 4y > -12. Is the point (0, 3) a solution? 25. If (-3, y) is a solution to -3x + y = 2, what is the value of y? IX. Systems 26. Graph the solution to the following system: y=x+4 y = 3x + 2 27. What is the solution to the system: y = 4x + 16 y = 2x + 8 28. What is the solution to the system: 4x – y = 1 2x + y = -7 X. Write a system of linear equations that represents the following word problems. 29. Jake bought 10 baseball tickets for a total of $58. Adult tickets cost $8 each and child tickets cost $2.50 each. How many child tickets did he buy? 30. A group of 28 college students carpooled to the outlet mall. There were 12 fewer men than women. How many women attended? 31. Use the quadratic formula to solve the following quadratic: 3x2 + 5x – 10 = 0 XI. Simplify 32. 4(x2 – 2x) + 3x2 – 6x + 7 33. 16a3 a5 34. 5x4y(7xy2)  4x 2 y 3  35.  7 3   8x y  0 XII. Multiply the binomials 36. (5x – 4)(x – 2) 37. (3x – 7)(3x + 7) 38. (3x – 1)2 XIII. Solve the quadratics by factoring 39. x2 – 7x + 12 = 0 40. 2x2 – 13x + 15 = 0 41. 6x2 + 14x – 12 = 0 42. List the a,b, and c for the following quadratic equation 3x² - 5x – 9 = 0 43. Solve the quadratic in #42 using the quadratic formula. Show all steps.
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