Math Chapter 5 Test Review KEY

Chapter 5 Test Review Algebra 1 CP Name:______________________________________ Hour:_________ Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m. 1. (-2, -8); m = 3 2. (1, 1); m = -4 3. (-1, 3); m = 6 4. (0, 11); m = 7 3 5. Your science class is taking a field trip to an observatory. The cost of the presentation and a tour of the telescope is $60 for the group plus an additional $3 per person. a) Write an equation that gives the total cost as a function of the number of people in the group. b) How much would it cost for a group of 5 people? 6. A delivery service charges a base price for an overnight delivery of a package plus an extra charge for each pound the package weighs. A customer is billed $22.85 for shipping a 3-pound package and $40 for shipping a 10-pound package. a) Write an equation in slope-intercept form that gives the total cost of shipping a package as a function of the weight of the package. b) Find the cost of shipping a 15-pound package. 7. From 1990 to 2000, the number of thousand visits by people to Bryce Canyon National Park increased by about 23.9 thousand people per year. In 2000, there were about 1102.4 thousand people who visited the park. a) Write an equation that models the number of thousands of visitors to the park as a function of the number of years since 1990. b) How many people visited the park in 1995? 8. You are taking a karate class that costs $15 per month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months. a) Write an equation that gives the total cost as a function of the number of months you take the class. b) How much was your uniform? c) Find the total cost after one year. Write an equation in slope-intercept form of the line shown. 9. 10. 11. Write an equation in slope-intercept form of the line that passes through the given points. 12. (4, 5) (2, 9) 13. (-2, 2) (8, -3) 14. (3, 4) (1, -6) 15. (0, -4) (3, 6) Graph the following equations. Identify the slope and a point on the line. 16. y  2  4( x  3) 17. y  1  2( x  5) Slope:____________ Slope:____________ Point:____________ Point:____________ Write an equation in standard form with the given characteristics. 18. Slope: 10; Passes through: (6, 2) 19. Passes through (2, -1) (6, -7) 20. Passes through ( -10, 7) (5, 2) 21. Slope: -5; Passes through (4, -1) 22. Write equations of the horizontal and vertical lines that pass through the point (8, 3). Vertical:______________ Horizontal:_____________ Write an equation of the line in slope-intercept form that passes through the given point and is (a) parallel to the given line and (b) perpendicular to the given line. 1 x2 4 24. (-4, -1) 2 x  7 y  14 25. (4, -9) y  (a) parallel: (a) parallel: (a) parallel: (b) perpendicular: (b) perpendicular: (b) perpendicular: 23. (2, 0) y  5x  3 26. Determine which lines, if any, are parallel or perpendicular. Line a: y  2 x  5 Line b: 2 y  x  3 Line c: 2 x  y  1 Determine whether x and y show a positive correlation, a negative correlation, or relatively no correlation. 27. 28. Make a scatter plot of the data. Describe the correlation of the data. Draw a line of best fit. Write an equation of the line. 29. 30. Correlation: Correlation: Equation: Equation: Find the zero of the function. 31. f ( x)  16 x  4 32. f ( x)  1.2 x  10 33. f ( x)  1 x6 2 Answers: 1. y = 3x – 2 6b. $52.25 10. y = -x + 2 2. y = -4x + 5 3. y = 6x + 9 7a. y = 23.9x + 863.4 9 11. 𝑦 = 𝑥 + 14 2 16. m = -4; pt: (-3, 2) 1 25a. 𝑦 = 𝑥 − 10 4 12. y = -2x + 13 23a. y = -5x + 10 25b. y = -4x + 7 29. positive; y = 1.28x – 0.82 6b. $52.25 10. y = -x + 2 2. y = -4x + 5 1 25a. 𝑦 = 𝑥 − 10 4 9 2 1 2 5 5 23b. 𝑦 = 𝑥 − 23a. y = -5x + 10 25b. y = -4x + 7 4 2 15 7 7 1 13. 𝑦 = − 𝑥 + 1 2 18. 10x – y = 58 1 2 5 5 23b. 𝑦 = 𝑥 − 30. negative; y = -1.13x + 2.23 25 3 8b. $18 33. x = 12 6a. y = 2.45x + 15.5 8c. $198 15. 𝑦 = 9. y = -x + 3 10 3 𝑥−4 20. x + 3y = 11 2 15 7 7 24a. 𝑦 = − 𝑥 − 4 21. 5x + y = 19 7 14. y = 5x – 11 1 𝑥−4 28. Negative correlation 19. 3x + 2y = 4 31. 𝑥 = 3 24b. 𝑦 = 𝑥 + 13 5b. $75 27. No correlation 10 2 32. 𝑥 = − 8a. y = 15x + 18 15. 𝑦 = 9. y = -x + 3 20. x + 3y = 11 24a. 𝑦 = − 𝑥 − 1 6a. y = 2.45x + 15.5 8c. $198 14. y = 5x – 11 5a. y = 3x + 60 7 26. 𝑎 ∥ 𝑐; 𝑎 ⊥ 𝑏; 𝑐 ⊥ 𝑏 8b. $18 19. 3x + 2y = 4 31. 𝑥 = 3 12. y = -2x + 13 5b. $75 27. No correlation 4. 𝑦 = 𝑥 + 11 7b. 982.9 thousand 17. m = 2; pt: (5, -1) 29. positive; y = 1.28x – 0.82 2 26. 𝑎 ∥ 𝑐; 𝑎 ⊥ 𝑏; 𝑐 ⊥ 𝑏 3. y = 6x + 9 11. 𝑦 = 𝑥 + 14 22. vert: x = 8; horiz: y = 3 1 13. 𝑦 = − 𝑥 + 1 30. negative; y = -1.13x + 2.23 7a. y = 23.9x + 863.4 16. m = -4; pt: (-3, 2) 8a. y = 15x + 18 18. 10x – y = 58 Answers: 1. y = 3x – 2 5a. y = 3x + 60 7 7b. 982.9 thousand 17. m = 2; pt: (5, -1) 22. vert: x = 8; horiz: y = 3 3 4. 𝑦 = 𝑥 + 11 21. 5x + y = 19 7 24b. 𝑦 = 𝑥 + 13 2 28. Negative correlation 32. 𝑥 = − 25 3 33. x = 12