Lesson 1.6: Be able to identify Domain and Range, and be able to determine if a relation is a function

Lesson 1.6: Be able to perform the vertical Line Test

Lesson 1.7: Be able to evaluate functions for given values

ALG  2A  LESSON  1.6,1.7,2.1-­‐2.4  “WHAT  YOU  NEED  TO  KNOW  (FOR  THE  TEST)”  

NAME:  _____________________________    HR:____    SCORE:      _______    /57  

Lesson 1.7: Be able to graph linear functions Graph the following linear functions.

Lesson 1.7: Be able to write a function using independent and dependent variables

Lesson 2.1.1 Be able to write and solve a linear equation from a word problem

Lesson 2.1: Be able to use the distributive property to solve equations

Lesson 2.1: Be able to solve equations with variables on both sides, and be able to identify identities and contradictions.

Lesson 2.1 Be able to solve and graph one variable inequalities

Lesson 2.2: Be able to solve proportions

Lesson 2.2: Be able to solve percent problems

35. Dolores is shopping for shoes. Her final cost is $34.53 after a discount of 30%. How much did the shoes cost before the discount?

Lesson 2.2: Be able to solve problems word problems using rates, proportions

37. One euro (€1.00) equals $1.36 US dollars. If Jose lost 500 euro in a US casino in

7 hours, find the rate of dollars per hour Jose was losing money.

Lesson 2.2: Be able to solve word problems using similar figures

Lesson 2.3: Be able to use “first difference” rule to recognize linear functions Determine whether each data set could represent a linear function. Explain. 40. 41.

Lesson 2.3: Be able to graph lines using a point and the slope

Graph each line.

42. 43.

Lesson 2.3: Be able to graph lines using x and y intercepts

Find the intercepts of each line. Graph the line. 44. 45.

Lesson 2.3: Be able to graph functions using slope intercept form.

Write each function in slope-intercept form then graph the line. 46. 47.

Lesson 2.3: Be able to graph horizontal and vertical lines

Determine whether the line is horizontal or vertical then graph the line. 48. x = -3 49. y = 2

Lesson 2.4: Given a line on a graph, be able to write the equation of the line

Write the equation of the graphed line in slope-intercept form. 50. 51.

Lesson 2.4: Be able to find slope of a line given two or more points

Find the slope of the line that passes through the given points. 52. (2, -4) & (5, 8) 53. (-2, -8) & (-1, 4)

Lesson 2.4: Given a set of points, be able to write the equation of a line in slope intercept form

In slope-intercept form write the equation of the line that contains the points in the table. 54. 55.

Lesson 2.4: Be able to write equations of parallel & perpendicular lines to a given line

56. In slope-intercept form, write the equation of the line that is parallel to y = 2x + 5 and passes through the point (2, 10).

57. In slope-intercept form, write the equation of the line that is perpendicular

to y = -3x – 4 and passes through the point (6, 2).

Answers: 1. D: { -3 ≤ x ≤ 3}; R:{-1 ≤ y ≤ 2}; NO 2. D: { 0, 2, 4, 6}; R:{5, 8, 10, 12, 20}; NO 3. D: { -1 ≤ x ≤ 3}; R:{0 ≤ y ≤ 4}; YES 4. D: { 3,4,5,6,7}; R:{-1,2,3}; yes 5. Function 6. Function 7. Not a Function; Ex. (1, 1) & (1, -1) 8. f(-2) = 18 9. f(-2) = -23 10. f(-2) = 0 11. 12. 13. 13.

14. L(s) = -125s; L(50) = - 6250 An input of 50 represents a loss of $6250 for a total of 50 sets sold. 15. f(m) = 1.75 + 1m; f(5.5) = 7.25 An input of 5.5 represents a fare of $7.25 for a 5.5 mile trip. 16. 395 = 55 + 6h; ≈ 57 hours 17. 2000 = 500 + 0.15j; $10,000

18. x = 14 19. x = 10.4 20. x = -6 21. t = -8 22. x = 2 23. x = ⅔ 24. All real #’s 25. No solutions 26. No solutions 27. x ≥ -2 28. x < -6 29. x ≤ -12 31. x = 9.6 32. n = 8 33. x = 84 34. 1750 Students 35. $49.33 36. 23.92 mi/gal 37. $97.14 per hr 38. 36 ft. 39. 18 ft. 40. YES 41. NO 42. 43.

44. 45. x-int (6,0) y-int (0,5) x-int (-2.5,0) y-int (0,2)

46. 47.

48. 49.

50. y = -3x + 5 51. Y = ½x – 3 52. m = 4 53. m = 12 54.

€

y =83

x +113

55.

€

y =34

x −172

56. y = 2x + 6 57. y = ⅓x + 0