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Unit 4 Review Problems Algebra 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A new comedian is building a fan base. The table shows the number of people who attended his shows in the first, second, third and fourth month of his career. Which graph could represent the data shown in the table? Month 1 2 3 4 Total Number of People 119 214 385 693 number of people c. number of people a. month month d. number of people b. number of people ____ month month The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week. Number of Sports Teams 0 1 2 3 ____ Free Time (hours) 46 39 32 25 2. Is the above relationship a linear function? a. yes ____ b. no 3. What is the graph for the above relationship? a. 50 c. 50 40 Free Time (hr) Free Time (hr) 40 30 20 10 30 20 10 2 4 2 Number of Sports Teams b. d. 50 50 40 Free Time (hr) Free Time (hr) 40 30 20 10 30 20 10 2 4 Number of Sports Teams ____ 4 Number of Sports Teams 2 4 Number of Sports Teams 4. The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that represents this function? a. c. b. d. What is the graph of the function rule? ____ 5. a. c. y –4 4 4 2 2 –2 2 4 –4 x –2 –2 –2 –4 –4 b. d. y –4 y 4 2 2 2 4 x 4 x 2 4 x y 4 –2 2 –4 –2 –2 –2 –4 –4 ____ 6. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule describes the relationship between the number of miles m and the total cost of the ride c. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule? a. c. 20 C 20 C 16 16 12 12 8 8 4 4 10 b. 20 20 30 40 m d. C 20 16 16 12 12 8 8 4 4 10 20 30 40 m 10 20 30 40 m 10 20 30 40 m C ____ 7. Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.59. a. c. b. d. ____ 8. A snail travels at a rate of 2.35 feet per minute. • Write a rule to describe the function. • How far will the snail travel in 5 minutes? a. c. ; 11.75 ft b. ; 7.35 ft d. ; 2.13 ft ; 11.75 ft ____ 9. Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write a rule to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 13 days? a. ; 286 inches b. ; 299 inches c. ; 286 inches d. ; 299 inches The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. ____ 10. The table shows the number of miles driven over time. Time (hours) Distance (miles) 4 204 6 306 8 408 510 10 a. ; Your car travels 51 miles every 1 hour. b. 204; Your car travels 204 miles. c. ; Your car travels 51 miles every 1 hour. d. 10; Your car travels for 10 hours. Find the slope of the line. ____ 11. y 4 2 –4 –2 2 4 x –2 –4 a. 1 2 b. 1 2 c. 2 d. 2 What is the slope of the line that passes through the pair of points? ____ 12. (–5.5, 6.1), (–2.5, 3.1) a. –1 b. 1 c. –1 d. 1 What are the slope and y-intercept of the graph of the given equation? ____ 13. ____ 14. y = –9x + 2 a. The slope is 9 and the y-intercept is –2. b. The slope is –9 and the y-intercept is 2. c. The slope is –2 and the y-intercept is –9. d. The slope is 2 and the y-intercept is –9. y= a. 9 3 x 8 10 3 9 and the y-intercept is . 10 8 b. 8 3 The slope is and the y-intercept is . 9 10 c. 3 9 The slope is and the y-intercept is . 10 8 d. 9 3 The slope is and the y-intercept is . 8 10 The slope is Write the slope-intercept form of the equation for the line. ____ 15. y 4 2 –4 –2 2 4 x –2 –4 a. 5 1 y= x 8 2 b. 8 1 y= x 5 2 c. 5 1 x 8 2 d. 8 1 y= x 5 2 y= What equation in slope intercept form represents the line that passes through the two points? ____ 16. (2, 5), (9, 2) a. 3 41 y= x 7 7 b. 7 41 y= x 3 7 c. 7 41 x 3 7 d. 3 41 y= x 7 7 ____ 17. (6.9, 5.9), (10.9, –2.1) a. y = 0.5x – 19.7 b. y = 2x + 19.7 c. y = –0.5x – 19.7 d. y = –2x + 19.7 18. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function and a graph. a. b 320 c. Athletic Club Account b 640 Athletic Club Account 480 Balance ($) Balance ($) 240 160 80 320 160 2 4 6 8 x 2 Number of Visits b. b 400 4 6 8 x Number of Visits b = 210 – 15x b = 195 + 15x d. Athletic Club Account b 320 320 Athletic Club Account 240 Balance ($) Balance ($) ____ y= 240 160 160 80 80 2 4 6 8 x 2 Number of Visits b = 210 + 15x 4 6 Number of Visits b = 195 – 15x 8 x Write an equation in point-slope form for the line through the given point with the given slope. ____ 19. (8, 3); m = 6 a. b. ____ 20. (–10, –6); m = c. d. 5 8 a. c. 5 y – 6 = (x – 10) 8 b. 5 y – 6 = (x + 10) 8 5 y + 6 = (x + 10) 8 d. 5 y + 10 = (x + 6) 8 ____ 21. (3, –10); m = –0.83 a. y – 10 = –0.83(x + 3) b. y – 10 = –0.83(x – 3) c. y – 3 = –0.83(x + 10) d. y + 10 = –0.83(x – 3) Graph the equation. ____ 22. y + 5 = 2(x – 4) a. –8 c. y 8 8 4 4 –4 4 8 –8 x –4 –4 –4 –8 –8 b. d. y –8 y 8 4 4 4 8 x 8 x 4 8 x y 8 –4 4 –8 –4 –4 –4 –8 –8 3 ____ 23. y – 3 = (x + 4) 2 a. –8 c. y 8 8 4 4 –4 4 8 –8 x –4 –4 –4 –8 –8 b. d. y –8 y 8 4 4 4 8 –8 x –4 –4 –4 –8 –8 What is an equation of the line? ____ 24. y 4 2 –4 –2 2 4 x –2 –4 a. y + 3 = 2(x + 2) b. y+5= 1 (x + 2) 2 c. 8 x 4 8 x y 8 –4 4 1 (x – 2) 2 d. y + 3 = 2(x – 2) y–3= ____ 25. y 4 2 –4 –2 2 4 x –2 –4 a. y – 2 = –4.5(x + 3) b. y – 2 = 4.5(x + 3) c. y – 2.5 = 0.2(x + 3) d. y – 2.5 = 0.2(x – 2) ____ 26. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant’s height at any time? Time (months) Plant Height (cm) 3 21 5 35 7 49 9 63 a. 7 (x – 3) 2 b. y – 21 = 7(x – 3) ____ 27. x a. y – 21 = c. y–3= c. x-intercept is 4; y-intercept is 7 (x – 21) 2 d. The relationship cannot be modeled. 7 y = –4 5 20 7 b. 20 x-intercept is 4; y-intercept is 7 x-intercept is 4; y-intercept is d. x-intercept is 2 x + 7 in standard form using integers. 3 a. –2x + 3y = 21 c. –2x – 3y = 21 b. 3x – 2y = 21 d. –2x + 3y = 7 ____ 28. Write y = 20 7 20 ; y-intercept is 4 7 ____ 29. The video store rents DVDs for $4.75 each and video games for $2.00 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $12. a. 4.75d = 2g + 12 c. 4.75d + 2g = 12 b. 4.75g + 2d = 12 d. 4.75 + 2 = d ____ 30. The grocery store sells dates for $4.00 a pound and pomegranates for $2.75 a pound. Write an equation in standard form for the weights of dates d and pomegranates p that a customer could buy with $12. a. 4p + 2.75d = 12 c. 4d + 2.75p = 12 b. 4d = 2.75p + 12 d. 4 + 2.75 = d Write an equation for the line that is parallel to the given line and passes through the given point. ____ 31. y = 5x + 10; (2, 14) a. 1 y= x+4 5 b. 1 y= x–4 5 c. y = 5x 68 d. y = 5x + 4 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. 7 ____ 32. y = x – 1 8 32x – 28y = –36 a. parallel b. perpendicular c. neither 1 ____ 33. y = x + 10 4 –2x + 8y = 6 a. parallel b. perpendicular c. neither Write the equation of a line that is perpendicular to the given line and that passes through the given point. ____ 34. 4x – 12y = 2; (10, –1) a. y = 3x + 29 b. 1 y = x + 29 3 10 22 x ; (4, 2) 9 9 a. 9 8 y= x 10 5 b. 9 22 y= x 10 9 c. y = 3x + 29 d. 1 y= x+7 3 ____ 35. y = c. 9 8 x 10 5 d. 9 22 y= x 10 9 y= What type of relationship does the scatter plot show? ____ 36. 20 y 16 12 8 4 2 4 6 8 x a. positive correlation b. negative correlation c. no correlation ____ 37. The scatter plot below shows the height of a tree over time. What is the approximate height of the tree after 10 years? y Height of Tree Over Time height (ft) 20 15 10 5 2 4 6 8 10 12 14 time (yr) x a. 13 ft b. 20 ft c. 17 ft d. 21 ft ____ 38. a. b. c. d. Practice (hours) 1 2 3 4 5 6 Typing Speed (words per minute) 21 26 35 37 40 ? y = 5.1x + 17; r = 0.971; about 47 words per minute y = 17.1x + 4.9; r = 0.791; about 142 words per minute y = 4.9x + 17.1; r = 0.971; about 47 words per minute y = 4.6x + 16; r = 0.902; about 53 words per minute Short Answer The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week. Number of Sports Teams 0 1 2 3 Free Time (hours) 46 39 32 25 39. Describe the above relationship using words. What is the equation for this relationship? 40. Find the range of for the domain {–1, 3, 7, 9}. Unit 4 Review Problems Algebra 1 Answer Section MULTIPLE CHOICE 1. ANS: REF: OBJ: STA: DOK: 2. ANS: OBJ: NAT: TOP: KEY: DOK: 3. ANS: OBJ: NAT: TOP: KEY: DOK: 4. ANS: REF: OBJ: NAT: TOP: KEY: 5. ANS: OBJ: STA: KEY: 6. ANS: OBJ: STA: KEY: 7. ANS: OBJ: STA: DOK: 8. ANS: OBJ: STA: DOK: 9. ANS: OBJ: NAT: KEY: DOK: C PTS: 1 DIF: L3 4-1 Using Graphs to Relate Two Quantities 4-1.1 To represent mathematical relationships using graphs PA M11.D.3.1.2| PA M11.D.4.1.1 TOP: 4-1 Problem 2 Matching a Table and a Graph DOK 2 A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 4-2.1 To identify and represent patterns that describe linear functions A.1.a| A.1.b| A.1.e| A.1.h STA: PA M11.D.1.1.1| PA M11.D.3.1.2 4-2 Problem 2 Representing a Linear Function dependent variable | independent variable | function | linear function DOK 2 B PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 4-2.1 To identify and represent patterns that describe linear functions A.1.a| A.1.b| A.1.e| A.1.h STA: PA M11.D.1.1.1| PA M11.D.3.1.2 4-2 Problem 2 Representing a Linear Function dependent variable | independent variable | function | linear function DOK 2 C PTS: 1 DIF: L4 4-3 Patterns and Nonlinear Functions 4-3.1 To identify and represent patterns that describe nonlinear functions A.1.a| A.1.e STA: PA M11.D.1.1.1| PA M11.D.3.1.2 4-3 Problem 3 Writing a Rule to Describe a Nonlinear Function nonlinear function DOK: DOK 2 B PTS: 1 DIF: L2 REF: 4-4 Graphing a Function Rule 4-4.1 To graph equations that represent functions NAT: A.1.b PA M11.D.3.1.2 TOP: 4-4 Problem 1 Graphing a Function Rule continuous graph DOK: DOK 2 A PTS: 1 DIF: L3 REF: 4-4 Graphing a Function Rule 4-4.1 To graph equations that represent functions NAT: A.1.b PA M11.D.3.1.2 TOP: 4-4 Problem 2 Graphing a Real-World Function Rule continuous graph DOK: DOK 2 D PTS: 1 DIF: L3 REF: 4-5 Writing a Function Rule 4-5.1 To write equations that represent functions NAT: A.1.b PA M11.D.3.1.2 TOP: 4-5 Problem 1 Writing a Function Rule DOK 1 D PTS: 1 DIF: L2 REF: 4-5 Writing a Function Rule 4-5.1 To write equations that represent functions NAT: A.1.b PA M11.D.3.1.2 TOP: 4-5 Problem 2 Writing and Evaluating a Function Rule DOK 2 A PTS: 1 DIF: L3 REF: 4-7 Sequences and Functions 4-7.2 To represent arithmetic sequences using function notation A.1.b TOP: 4-7 Problem 3 Writing a Rule for an Arithmetic Sequence sequence | term of a sequence | arithmetic sequence | common difference DOK 2 10. ANS: OBJ: STA: TOP: DOK: 11. ANS: OBJ: STA: TOP: DOK: 12. ANS: OBJ: STA: TOP: DOK: 13. ANS: OBJ: NAT: TOP: KEY: 14. ANS: OBJ: NAT: TOP: KEY: 15. ANS: OBJ: STA: TOP: KEY: 16. ANS: OBJ: NAT: TOP: KEY: 17. ANS: OBJ: NAT: TOP: KEY: 18. ANS: OBJ: STA: KEY: 19. ANS: OBJ: NAT: TOP: DOK: A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope 5-1.1 To find rates of change from tables NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3 5-1 Problem 1 Finding Rate of Change Using a Table KEY: rate of change DOK 1 B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope 5-1.2 To find slope NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3 5-1 Problem 2 Finding Slope Using a Graph KEY: slope DOK 1 A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope 5-1.2 To find slope NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.1.1| PA M11.D.3.1.2| PA M11.D.3.2.1| PA M11.D.3.2.3 5-1 Problem 3 Finding Slope Using Points KEY: slope DOK 1 B PTS: 1 DIF: L2 REF: 5-3 Slope-Intercept Form 5-3.1 To write linear equations using slope-intercept form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-3 Problem 1 Identifying Slope and y-intercept linear equation | y-intercept | slope-intercept form DOK: DOK 1 D PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form 5-3.1 To write linear equations using slope-intercept form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-3 Problem 1 Identifying Slope and y-intercept linear equation | y-intercept | slope-intercept form DOK: DOK 1 C PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form 5-3.2 To graph linear equations in slope-intercept form NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-3 Problem 3 Writing an Equation From a Graph slope-intercept form | linear equation | y-intercept DOK: DOK 1 D PTS: 1 DIF: L2 REF: 5-3 Slope-Intercept Form 5-3.1 To write linear equations using slope-intercept form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-3 Problem 4 Writing an Equation From Two Points linear equation | y-intercept | slope-intercept form DOK: DOK 1 D PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form 5-3.1 To write linear equations using slope-intercept form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-3 Problem 4 Writing an Equation From Two Points linear equation | y-intercept | slope-intercept form DOK: DOK 1 A PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form 5-3.2 To graph linear equations in slope-intercept form NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 TOP: 5-3 Problem 6 Modeling a Function linear equation | y-intercept | slope-intercept form DOK: DOK 2 B PTS: 1 DIF: L2 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form DOK 1 20. ANS: C OBJ: NAT: TOP: DOK: 21. ANS: OBJ: NAT: TOP: DOK: 22. ANS: OBJ: NAT: TOP: DOK: 23. ANS: OBJ: NAT: TOP: DOK: 24. ANS: OBJ: NAT: TOP: DOK: 25. ANS: OBJ: NAT: TOP: DOK: 26. ANS: OBJ: NAT: TOP: DOK: 27. ANS: OBJ: STA: TOP: KEY: 28. ANS: OBJ: STA: TOP: DOK: 29. ANS: OBJ: STA: TOP: DOK: PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form DOK 1 D PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 1 Writing an Equation in Point-Slope Form KEY: point-slope form DOK 1 A PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 2 Graphing Using Point-Slope Form KEY: point-slope form DOK 1 B PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 2 Graphing Using Point-Slope Form KEY: point-slope form DOK 1 A PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 3 Using Two Points to Write an Equation KEY: point-slope form DOK 1 A PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 3 Using Two Points to Write an Equation KEY: point-slope form DOK 1 B PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form 5-4.1 To write and graph linear equations using point-slope form A.2.a| A.2.b STA: PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-4 Problem 4 Using a Table to Write an Equation KEY: point-slope form DOK 2 A PTS: 1 DIF: L3 REF: 5-5 Standard Form 5-5.1 To graph linear equations using intercepts NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-5 Problem 1 Finding x- and y-intercepts x-intercept | standard form of a linear equation DOK: DOK 1 A PTS: 1 DIF: L3 REF: 5-5 Standard Form 5-5.2 To write linear equations in standard form NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-5 Problem 4 Transforming to Standard Form KEY: standard form of a linear equation DOK 1 C PTS: 1 DIF: L3 REF: 5-5 Standard Form 5-5.2 To write linear equations in standard form NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-5 Problem 5 Using Standard Form as a Model KEY: standard form of a linear equation DOK 2 30. ANS: OBJ: STA: TOP: DOK: 31. ANS: REF: OBJ: NAT: TOP: DOK: 32. ANS: REF: OBJ: TOP: DOK: 33. ANS: REF: OBJ: TOP: DOK: 34. ANS: REF: OBJ: NAT: TOP: KEY: 35. ANS: REF: OBJ: NAT: TOP: KEY: 36. ANS: OBJ: NAT: STA: TOP: KEY: 37. ANS: OBJ: NAT: STA: TOP: DOK: 38. ANS: OBJ: NAT: STA: TOP: C PTS: 1 DIF: L3 REF: 5-5 Standard Form 5-5.2 To write linear equations in standard form NAT: A.2.a| A.2.b PA M11.D.2.1.2| PA M11.D.3.2.2| PA M11.D.3.2.3 5-5 Problem 5 Using Standard Form as a Model KEY: standard form of a linear equation DOK 2 D PTS: 1 DIF: L2 5-6 Parallel and Perpendicular Lines 5-6.2 To write equations of parallel lines and perpendicular lines A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2 5-6 Problem 1 Writing an Equation of a Parallel Line KEY: parallel lines DOK 1 B PTS: 1 DIF: L3 5-6 Parallel and Perpendicular Lines 5-6.1 To determine whether lines are parallel, perpendicular, or neither 5-6 Problem 2 Classifying Lines KEY: perpendicular lines | parallel lines DOK 1 C PTS: 1 DIF: L3 5-6 Parallel and Perpendicular Lines 5-6.1 To determine whether lines are parallel, perpendicular, or neither 5-6 Problem 2 Classifying Lines KEY: perpendicular lines | parallel lines DOK 1 C PTS: 1 DIF: L3 5-6 Parallel and Perpendicular Lines 5-6.2 To write equations of parallel lines and perpendicular lines A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2 5-6 Problem 3 Writing an Equation of a Perpendicular Line perpendicular lines DOK: DOK 1 A PTS: 1 DIF: L4 5-6 Parallel and Perpendicular Lines 5-6.2 To write equations of parallel lines and perpendicular lines A.2.a| A.2.b STA: PA M11.C.3.1.2| PA M11.D.2.1.2 5-6 Problem 3 Writing an Equation of a Perpendicular Line perpendicular lines DOK: DOK 1 A PTS: 1 DIF: L3 REF: 5-7 Scatter Plots and Trend Lines 5-7.1 To write an equation of a trend line and of a line of best fit D.1.c| D.2.e| D.5.d| A.2.a| A.2.b PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2 5-7 Problem 1 Making a Scatter Plot and Describing Its Correlation scatter plot DOK: DOK 2 C PTS: 1 DIF: L3 REF: 5-7 Scatter Plots and Trend Lines 5-7.2 To use a trend line and a line of best fit to make predictions D.1.c| D.2.e| D.5.d| A.2.a| A.2.b PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2 5-7 Problem 2 Writing an Equation of a Trend Line KEY: scatter plot | trend line DOK 2 C PTS: 1 DIF: L4 REF: 5-7 Scatter Plots and Trend Lines 5-7.2 To use a trend line and a line of best fit to make predictions D.1.c| D.2.e| D.5.d| A.2.a| A.2.b PA M11.D.2.1.2| PA M11.E.1.1.1| PA M11.E.1.1.2| PA M11.E.4.2.1| PA M11.E.4.2.2 5-7 Problem 3 Finding the Line of Best Fit KEY: scatter plot | trend line | line of best fit | correlation coefficient DOK: DOK 2 SHORT ANSWER 39. ANS: For every sports team the person joins, he or she spends 7 hours per week practicing. So, the amount of free time the person has, F, is the amount of free time they would have if they did not belong to any sports teams minus 7 times the number of teams they belong to. In equation form this is . PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions OBJ: 4-2.1 To identify and represent patterns that describe linear functions NAT: A.1.a| A.1.b| A.1.e| A.1.h STA: PA M11.D.1.1.1| PA M11.D.3.1.2 TOP: 4-2 Problem 2 Representing a Linear Function KEY: dependent variable | independent variable | function | linear function DOK: DOK 2 40. ANS: {8, 0, –8, –12} PTS: OBJ: NAT: TOP: DOK: 1 DIF: L3 REF: 4-6 Formalizing Relations and Functions 4-6.2 To find domain and range and use function notation N.2.c| A.1.b| A.1.g| A.1.i| A.3.f STA: PA M11.D.1.1.2| PA M11.D.1.1.3| PA M11.D.3.1.2 4-6 Problem 4 Finding the Range of a Function KEY: domain | range | function notation DOK 1