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Monday, December 16 th Please complete the warm up 

1. Describe the transformation of the graph of 8 as it relates to the graph of . 2. Two lines that are parallel will have _______solutions. Monday, December 16 th Please complete the warm up . Algebra Graphic Organizer. Unit 1. Alg 1 CC Unit 1 Final Exam Review Numbers & Quantity.

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Monday, December 16 th Please complete the warm up 

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  1. 1. Describe the transformation of the graph of 8 as it relates to the graph of . 2. Two lines that are parallel will have _______solutions Monday, December 16th Please complete the warm up 

  2. Algebra Graphic Organizer Unit 1

  3. Alg 1 CCUnit 1 Final Exam Review Numbers & Quantity

  4. 1) 3x² + 2x -3 • Name coefficient(s) • Name constant(s) • How many terms?

  5. 2) Simplify (3x + 2) + (-2x -4)

  6. 3) A rectangle is 5 feet long by 36 inches wide. What is the area of the rectangle in feet?

  7. 4) Solve for P L = 2P + 2W

  8. 5) Put in slope intercept form 2x + y = 6

  9. 6) Find 3 consecutive integers whose sum is 189

  10. 7) Every day you work, you get paid $5 an hour and $10 for supplies. Write an equation for the amount of money you earn in a day.

  11. 8) The more hours you study, the higher your score will be on the final exam. • What is the dependent variable? • What is the independent variable?

  12. 9) You sell 50 shirts in 5 hours. What is the unit rate?

  13. 10) Translate into an expression 8 times the sum of a number and three

  14. 11) Solve

  15. 12) You are making a plate of cookies for a friend. The total cost (C) for one plate and x number of cookies can be expressed as C = 9 + 2xHow much will it cost to make a plate with ten cookies?

  16. #13 Simplify:

  17. #14 Solve for x.

  18. #15 The perimeter of a rectangle is 32. The length is four more than the width. Find the width.

  19. Unit 2 Systems and Linear Functions

  20. Do you know your Vocab? System of Linear Equations Solution of a system of linear equations

  21. Method 1 Graphing

  22. Slope Intercept Form Y = mx + b Slope Y-intercept

  23. • • • Practice Finding Slope & Y-Intercept m=_____ b=______ m=_____b=_______

  24. Horizontal vs. Vertical Line Horizontal Y=with no x y=5 Vertical X=with no y X=5

  25. Method 2 Substitution

  26. Step 2 y = x – 2 3x = x – 2 Step 3 –x –x 2x = –2 2x = –2 2 2 x = –1 Example #1 Solve the system by substitution y = 3x y =x – 2 Step 1y = 3x Both equations are solved for y. y = x – 2 Substitute 3x for y in the second equation. Solve for x. Subtract x from both sides and then divide by 2.

  27. Method 3 Elimination

  28. Step 1 3x– 4y = 10 4x = 8 4 4 x = 2 #1 Together 3x –4y = 10 3x –4y = 10 Solve by elimination. x + 4y = –2 x + 4y = –2 Write the system so that like terms are aligned. x + 4y = –2 Add the equations to eliminate the y-terms. Step 2 4x + 0 = 8 4x = 8 Simplify and solve for x. Divide both sides by 4.

  29. Word Problems

  30. Types of Word Problems Slope Intercept Equation: Y=mx + b Standard Equation: Ax+By=C • Savings Account and how much you put in it each month • Cell phone starting cost and rate you pay each month • Gym membership and a rate you pay each year • Pages you read and how many pages you read each night • Down payment and your monthly payments m=rate b=starting fee Y=mx+b • How many drawings did each person make • How many shirts and socks you can buy • How many tickets you can buy • How many books you can read ALWAYS DEFINE YOUR VARIABLES FIRST X and y will be in your question!

  31. Slope Intercept Word Problem Sam and Joe are collecting baseball cards. Sam already had 5 baseball cards and is given 4 new cards each year. Joe only started with 3 baseball cards but is given 6 new cards each month. After how many months will Same and Joe have the same amount? How many cards will they have at that time?

  32. Graphing Inequalities

  33. Steps for Graphing Inequalities • Get in slope-intercept form • Determine solid or dashed line • Determine whether to shade above or shade below the line • Graph the linear inequality.

  34. Ex. 3

  35. Amount of Solutions Same Line=Infinite • Same slope and same y-intercept • Y= 2x + 5 and y = 2x + 5 Parallel Lines=No Solutions • Same slope and different y-interecept • Y=2x +4 and y=2x + 5 Different lines=one solution • Different slope • Y=2x + 4 and y=7x + 1

  36. Partner Review

  37. #1 You are selling tickets for a basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450. • Write a system of linear equations that represents this situation

  38. Example 2 Which equation corresponds to the graph shown? A. y = x + 1 B. y = 2x + 1 C. y = x – 2 D. y = -3x – 2

  39. Example 3 Which graph would represent a system of linear equations that has no common coordinate pairs? A B C D

  40. #4 Write an inequality

  41. #5 How many solutions? 4x=2y-4 Y=2x – 8

  42. #6

  43. #7

  44. #8

  45. #9 How many solutions does a set of parallel lines have? • No solutions • Infinite solutions • One solution • All of the above

  46. #10

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