The y-intercept in this problem represents: represents:
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1 Go to butenhoffmath.com and check out the algebra notes video: A 7-1 AStd2a: I can model a linear function given a situation, table and rule. AStd2b: I can determine the equation of a line given a point and slope. I can determine the and slope and interpret their meanings. Stor Table There is a zebra that lives x in Africa who is saving 0 mone. This zebra has 6$ 1 to start with. She earns 5$ 2 each week. Use the table 3 How much does the zebra have after 30 weeks? to represent her earnings, 4 write an equation and 5 predict how much mone 6 the zebra will have in the future based on the next questions. When does the zebra have 616$? The slope in this problem represents: The in this problem represents:
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3 A 7-1 Name BDFM? Wh? AStd2a: I can model a linear function given a situation, table and rule. AStd2b: I can determine the equation of a line given a point and slope. I can determine the and slope and interpret their meanings. Find the linear equation given the stor. Stor 1. You start with 20$ and earn 5$ a da. 2. A bab chicken is 1cm but grows 2cm a da 3. You bu a 40,000$ car. It s value goes down 1000$ each ear 4. An airplane is at 50,000 feet but then descends 1000 feet per minute 5. Portland s population is 609,456. Each ear the population increases b 1,231 people Stor Table 6. There is a zebra that x lives in Africa who is saving mone. This zebra has 10$ to start with. She earns 2$ each week. Use the table to represent her earnings, write an equation and predict how much mone the zebra will have in the future based on the next questions. 3 How much does the zebra have after 40 das? When does the zebra have 856$? The slope in this problem represents: The in this problem represents: 7. Write the stor problem!!! Table x How much does the zebra have after 45 ears? When does the zebra have 2020$? The slope in this problem represents: The in this problem represents:
4 8. Write the stor problem!!! Fill in the table!!!! x = 6x + 50 How much does the zebra have after 66 weeks? When does the zebra have 2672$? The slope in this problem represents: The in this problem represents: Graph the points to find the slope. (0, 1) and (1, 3) (0, 4) and (1, 7) (0, 2) and (1, 6) (0, 1) and (2, 3) (0, 4) and (2, 6) Graph the equation. Graph = x + 5 Graph = 2x +10 Graph = 3x +1 Graph = 1 2 x + 6 Graph = 1 2 x + 5
5 Go to butenhoffmath.com and check out the algebra notes video: A 7-2 Calculate the slope. (-2, -3) (3, 7) (-3, -5) (6, 13) slope= rise run = slope= 2 1 x 2 x 1 =
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7 A 7-2 Name BDFM? Wh? Use the graph to find the slope between the points. Simplif the slope. 1. (0, 1) (1, 3) 2. (0, 1) (1, 4) 3. (0, 1) (1, 5) 4. (0, 1) (2, 9) 5. Write two complete sentences describing how ou use a graph to find the slope between two points. 5. (1, 3) (4, 9) 6. (0, 1) (4, 3) 7. (1, 4) (5, 0) 8. (2, 4) (8, 1) Calculate and simplif the slope. 9. (1, 3) (4, 9) 10. (3, 7) (8, 17) 11. (-3, -5) (3, 7) 12. (-6, -11) (2, 5) 13. Write two complete sentences describing how ou calculate the slope. 14. (0, 1) (4, 3) 15. (6, 4) (14, 8) 16. (-4, -1) (8, 5) 17. (-6, -2) (0, 1)
8 18. (1, 4) (5, 0) 19. (4, 1) (7, -2) 20. (3, 2) (9, -4) 21. (-3, 8) (6, -1) 22. (2, 4) (8, 1) 23. (4, 3) (10, 0) 24. (-2, 6) (12, -1) 25. (-4, 7) (14, -2) Graph the equation, fill in the table and write a stor. = 2x +1 = x + 5 = 3x + 2 = 2x + 7 x Stor: x Stor: x Stor: x Stor: Find the equation of the line given the table. x : x : x : x :
9 Go to butenhoffmath.com and check out the algebra notes video: A 7-3 AStd2b. I can determine the equation of a line given the slope and a point on the line. AStd2b. I can determine the equation of a line given two points on the line. Find the of the line through (0, 4) Find the of the line through (-4, -3) with a slope of a 2 and (-1, 3). using a graph. using a graph. Y-int Y-int using Algebra. using Algebra.
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11 A 7-3 Name Per. BDFM? Wh? AStd2b. I can determine the equation of a line given the slope and a point on the line. AStd2b. I can determine the equation of a line given two points on the line. 1. Find the equation of the line through (0, 1) with a slope of a 3 using a graph. using Algebra. Y-int 2. Find the equation of a line with a slope of 5 and through (0, -10) using Algebra. Y-int 3. Find the equation of a line with a slope of 4 and through (3, 18) using Algebra. Y-int 4. Use two complete sentences to describe how ou find the equation of a line given its slope and a point on the line. 5. Find the equation of a line with a slope of 1 2 and through (8, 64) using Y-int 6. Find the equation of a line with a slope of -8 and through (5, 60) using Algebra. Y-int Algebra. Several people start charging their phones at the same time. Find the equation. 7. Bob s starts with 85% and goes up 3% each minute 8. Cahlil s goes up b 4% each minute and after 15 minutes has 78% 9. Jamieson s goes up b 5% each minute and after 16 minutes has 99% 10. Boots s goes down b 2% each minute and after 17 minutes has 3%
12 11. Find the equation of the line through (-2, -8) and (1, 1) using a graph. using Algebra. Y-int 12. Find the equation of a line between (1, 3) and (2, 4) using Algebra. Y-int 13. Find the equation of a line between (1, 3) and (5, 11) using Algebra. Y-int 14. Use two complete sentences to describe how ou find the equation of a line given two points on the line. 15. Find the equation of a line between (2, 11) and (6, 3) using Algebra. Y-int 16. Find the equation of a line between (2, 7) and (8, 10) using Algebra Y-int. Several people start charging their phones at the same time. Find the equation. 17. Eva s iphone 6s 18. Haile s iphone 5c Minutes after starting charge Minutes 6 15 % Phone percent (%) charged Jamieson s Samsung Galax S7 Minutes % Boots s TI-84+ Minutes %
13 Go to butenhoffmath.com and check out the algebra notes video: A 7-4 AStd2b: I can determine the x- and s and interpret their meanings. The x- is the point where the graph of an equation cross the x-axis. Therefore, the is 1. Use the graph of = 2x +8 to determine the x- and s. 2. Use algebra to find the x- and s of = 2x Use algebra to find the x- and s of 2x + 3 =12.
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15 A 7-4 Name BDFM? Wh? AStd2b: I can determine the x- and s and interpret their meanings. 1. Use the graph of = 2x +10 to determine the x- and s. 2. Use the graph of = x 6 to determine the x- and s. 3. Use the graph of = 1 2 x 3 to determine the x- and s. 4. Write two complete sentences to describe how ou use a graph to find the x- and s of a graph. 5. Use algebra to find the x- and s of = 3x Use algebra to find the x- and s of = x Use algebra to find the x- and s of = 4x You drop a to zebra from a height of 10 feet above the ground. It falls 2 feet per second. Find the equation that represents this situation. Find the x- and s. What do these represent in this problem?
16 8. Write two complete sentences to describe how ou use algebra to find the x- and s of a graph. 9. Use algebra to find the x- and s of 5x + 2 = Use algebra to find the x- and s of 3x 6 = Use algebra to find the x- and s of x + 7 = Find the equation of a line with a slope of 1 2 and through (10, 50) using Algebra. 13. Find the equation of a line with a slope of 5 and through (2, 20) using Algebra. 14. Find the equation of a line between (4, 22) and (6, 28) using Algebra. 15. Find the equation of a line between (3, 4) and (8, -6) using Algebra. 16. You look at our phone and it is 66% charged. Ever minute the percentage decreases 3%. Find the equation for the situation. Find the x- and s. What do these represent in the problem?
17 Go to butenhoffmath.com and check out the algebra notes video: A 7-5 Graph = 2 1 x + 3 Graph = 1 2 x + 3 Graph = 2 3 x +1 Graph = 3 2 x + 7 Graph = 6 3 x +10
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19 A 7-5 Name BDFM? Wh? Graph. 1. = 3 1 x = 1 3 x = 2 3 x = 4 2 x = 2 2 x = 3 1 x = 1 3 x = 2 3 x = 4 2 x = 2 2 x + 7 Solve. 11. A zebra starts with 100$ and earns 15$ each week. a) Create a table for the stor. b) How much does the zebra have after 46 weeks? c) When will the zebra have 1615$? 12. You drop a to zebra from a height of 300 feet above the ground. It falls 4 feet per second. Find the equation that represents this situation. Find the x- and s. What do these represent in this problem?
20 13. Haile and Kenn start charging their phones at the same time. Hailes s iphone 5s Kenn s iphone 6s Starts at 78% and goes up 3% ever minute Minutes after starting charge Phone percent (%) charged a) Find equations for Haile and Kenn s phone charge () after x minutes. b) Whose phone is charging faster? How do ou know? c) Whose phone had a higher charge when the started charging? How do ou know? d) Whose phone is full charged first? How do ou know? 14. A zebra works and earns 13$ an hour and 40 hours per week. The zebra is saving up for a 5000$ car. a) How much does the zebra have after 1 week? b) How much does the zebra have after 1 month? c) How much does the zebra have after 1 ear? d) How long will it take for the zebra to bu the car? 15. Butenhoff and Jamieson start tracking their savings and expenses. Jamieson Butenhoff Jamieson has 0$ to start with but saves 20$ a week. Butenhoff has 100$ to start with but spends 10$ a week. a) Find equations for Jamieson and Butenhoff s mone. b) Use two tables to show when Jamieson and Butenhoff have the same amount of mone. c) Sketch a graph showing when Jamieson and Butenhoff have the same amount of mone.
21 A 7-Review Name BDFM? Wh? Write one complete sentence that describes what ou learned this chapter. C-Level Find the equation of the line 1. with slope 3 and through (10, 44). 2. through (7, 3) and (13, 15). 3. through (4, 3) and (10, 6). Find the equation of the line Graph the line. 6. Graph. =!! x 7 int slope equation int slope equation B-Level Use algebra to find the x- and s. 7. = 5x 75
22 Use algebra to find the x- and s. 8. 4x + 2 = 40 Stor Table a. 9. Cahlil has a WalMart x gift card for $150. He uses it to bu his $6 lunch each da. Since Cahlil wants to make sure he is able to bu food each da, he decides to find out the best time to re-fill his card with mone. In order to do this, he needs to figure out how much he will have in the future. 3 b. How much does Cahlil have after 16 das? c. When does Cahlil have 12$ left on his card? d. The slope in this problem represents: e. The in this problem represents: A-Level 10. Haile and Kenn start charging their phones at the same time. Hailes s iphone 5s Kenn s iphone 6s Starts at 78% and goes up 3% ever minute Minutes Phone after starting percent (%) charge charged a. Find equations for Haile and Kenn s phone charge () after x minutes. b. Whose phone is charging faster? How do ou know? c. Whose phone had a higher charge when the started charging? How do ou know? d. Whose phone is full charged first? How do ou know?
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