3. Classify the following Numbers (Counting (natural), Whole, Integers, Rational, Irrational)

Transcription

1 After yu cmplete each cncept give yurself a rating (5 3) (2 5) 3. Classify the fllwing Numbers (Cunting (natural), Whle, Integers, Ratinal, Irratinal) a. 7 b. 2 3 c Are negative integers clsed under subtractin? 5. Are Cunting numbers clsed under subtractin? If n, prvide a cunter-example. If n, prvide a cunter-example. 6 8x 2(4x 3) ( 4) y y 8. x x x d z z 11. 3x 7 4x 6x 7 x

2 12. x 5 2x What is 20% f 30? is 30% f what number? Slve fr y: Slve fr x: Slve fr P: 15. 2x y x 6 y P K C x x n x 18 9

3 22. x 3(1 4 x ) (3 6 r ) 24. 4( 2 4 n) 12 16n Inequality ntatin: Inequality ntatin: Inequality ntatin: Interval ntatin: Interval ntatin: Interval ntatin: n 70 r 3 5n k 9 12 Inequality ntatin: Inequality ntatin: Interval ntatin: Interval ntatin:

4 27. What is the definitin f a functin? 28. Which f the fllwing are functins? a. b. c. Input Output Find f(-4). 30. Find x. f ( x ) -2x -5 when x -4 f x x when x 2 ( ) -3 2 f( ) a(1) = 32. a(-2) = 33. Find x when a(x) = Find x when a(x) = 0

5 Find the slpe f the line and identify the line as hrizntal, vertical, r diagnal. 35. (2, -4) and (2, -3) 36. (-3, -6) and (3, 2) Find the value f y s that the line passing thrugh the given pints has the given slpe (5, y), (9, 7); m = x 8 y y 2x Graph x = 3 and y = -4 n the same graph 41. Write the equatin f the given line:

6 42. 3 y x x 3y 18 2 m = b= m = b= 44. y + 3 = 3 (x 5) 45. y 5 = -3 (x 6) 2 m = pt= m = pt= Graph using the INTERCEPTS METHOD x 6 y x 4y 20 x-int: x-int: y-int: y-int:

7 1 48. State the Dmain and Range f the given graph: 49. Graph: y x 4 with dmain : x 3 3 Then state the resulting range: Inequality: Interval: Dmain: Range: Range:

8 50. Write an equatin f the line that passes thrugh (6,-5) with a slpe f Write an equatin f the line that cntains (-6, 2) and (-2, -10) in slpe-intercept frm. 52. Write the equatin f a line that cntains (4, 7) and (-3, -6) in pint-slpe frm: 53. Write the equatin f the line y 3 2x 3 3 in standard frm Write the equatin f the line in standard frm given that it runs thugh (-2, 2) and (-4, -6) Are lines a and b parallel, perpendicular, r neither? 55. Line a: y = -5x Line a: -5x + y = -3 Line b: y - 5x = -2 Line b: -2x - 10y = 20

9 57. Write the equatin f the line that is perpendicular t 5x 15 y 3 and passes thrugh the pint (-1, 4) in slpe-intercept frm. 58. Mr. Griffin s beard grws at a rate f 3 centimeters per week. He started with a beard that was 2.5 centimeters lng (crazy hw it just started that way, right?). At this rate, hw lng with his beard be after 2 mnths? (be careful with units) a. Write a linear equatin b. predict the length f his beard after 2 mnths 59. In 2000, peple charged $1,243 billin n the fur mst used types f credit cards. In 2005, peple charged $1,838 billin n these same fur credit cards. a. What is the rate f change? b. Write a linear equatin that represents this scenari (slpe intercept frm). c. Hw much wuld yu predict peple t spend in d. In what year wuld yu predict the amunt spent t be $2490 billin.

10 60. Write a sentence that describes the crrelatin f the scatter plt: 61. a. Given the data set t the write, use yur calculatr t calculate the linear regressin (line f best fit) a. What des the slpe represent? b. What wuld yu predict the weight f the Panda t be at 7 mnths c. What wuld yu predict the weight f the Panda t be at 20 mnths? d. Is yur line f best fit the best a gd predictr at 20 mnths? Why r why nt? 62. Is (-3, 1) a slutin fr the system? parallel lines have slutin(s). x y 2 x 5y 2 2 intersecting lines have slutin(s). 2 equatins that represent the same line have slutin(s).

11 64. x 4y 8 x y 7 Slve the system f linear equatins by substitutin r eliminatin 65. y 3x 2 x 2y x 3y 5 5x 2y A htel ffers tw activity packages. One csts $192 and includes 3 hurs f hrseback riding and 2 hurs f parasailing. The secnd csts $213 and includes 2 hurs f hrseback riding and 3 hurs f parasailing. What is the cst fr an hur f each activity.

12 3 68. y x y 2x 4 3x 2y 6 y First have yu graded and crrected yur study guide??? 2. G back thrugh yu packet and pick the tp 3 cncepts yu had the mst truble with: Nw g back thrugh yur ntes, the website, and yur quizzes and find similar prblems t try. 4. Cnsider retaking ld quizzes (r at least prblems that yu may have missed the first time) 5. Still Stuck? Call a friend, pen yur textbk, visit the website, and ASK YOUR TEACHER