Chapter 8 Study Guide Identify the domain and range of the relation. Input Output –8 –5 1. x y 7 –5 1 5 –4 –3 3 4 –1 –7 –2 a. domain: –7, –5, –3, 4, 5 range: –7, –5, –3, 4, 5 b. domain: –4, –1, 1, 3, 7 range: –7, –5, –3, 4, 5 c. domain: –4, –1, 1, 3, 7 range: –4, –1, 1, 3, 7 d. domain: –7, –5, –3, 4, 5 range: –4, –1, 1, 3, 7 4 6 7 9 d. The relation is a function. Input Output –8 –5 –2 Make a mapping diagram that represents the relation and tell whether the relation is a function. 4 6 7 9 2. a. The relation is a function. Input Output –5 –8 3. Which ordered pair is a solution of the equation –2 a. 6 4 9 7 b. The relation is b. c. d. Find the value of x that makes the ordered pair a solution of the equation. a function. Input Output –5 –8 4. a. b. c. d. Graph the linear equation. –2 5. 6 4 9 7 c. The relation is not a function. a. y y 15 15 15 x –15 15 x –15 –15 –15 b. y 6. 15 a. y 10 15 x –15 10 x –10 –15 c. –10 y 15 b. y 10 15 x –15 10 x –10 –15 d. –10 c. y c. 10 10 x –10 d. none of these –10 Graph the line that has the given intercepts. d. y 10 8. x-intercept: a. 10 x –10 –10 b. 7. a. c. b. d. y-intercept: Find the slope and y-intercept of the line with the given equation. 13. a. slope: y-intercept: 1 b. slope: y-intercept: none c. slope: 0; y-intercept: d. slope: 1; y-intercept: 14. a. slope: 16; y-intercept: 1 b. slope: 16; y-intercept: 1 c. slope: 1 ; y-intercept: 16 d. slope: 1; y-intercept: 16 Find the intercepts of the equation's graph. 9. a. x-intercept: 7 , y-intercept: 7 8 b. x-intercept: 7, 7 c. x-intercept: –8, y-intercept: 7 8 d. x-intercept: 7, y-intercept: –8 y-intercept: 15. What is the slope of a line parallel to the line ? 1 1 a. 2 b. 2 c. d. 2 2 Write the equation of the graph in slope-intercept form. Find the slope of the line. 10. 16. y 10 A 10 x –10 B –10 a. 2 3 b. 2 3 c. 3 2 d. a. 3 2 b. d. Find the slope of the line passing through the points. Write an equation of the line. 11. a. 4 15 a. 1 5 b. 15 4 c. 15 4 d. 4 15 12. b. 2 c. undefined d. 0 17. c. y a. 10 1 4 d. 1 4 c. 1 4 1 4 Write an equation of the line that contains the given points. 10 x –10 b. 19. –10 a. d. b. 1 5 c. d. 3 13 b. 3 13 13 3 1 5 20. a. d. 1 4 Solve the linear system by graphing. b. c. 21. a. c. y y 10 10 10 x –10 10 x –10 –10 b. c. Write an equation of the line that is parallel to the given line and passes through the given point. Write an equation of the line with the given slope and y-intercept. 18. 13 3 a. –10 d. y y 10 10 10 x –10 10 x –10 –10 –10 22. a. infinitely many solutions d. no solution b. 23. Which point is a solution to the inequality a. c. b. Graph the inequality. 24. a. c. d. y y 10 10 10 x –10 10 x –10 –10 –10 b. y 25. 10 a. y 10 10 x –10 10 x –10 –10 –10 c. y 10 b. y 10 10 x –10 10 x –10 –10 –10 d. c. y 10 10 x –10 –10 d. y 10 10 x –10 –10 Chapter 8 Study Guide Answer Section 1. ANS: TOP: BLM: 2. ANS: NAT: KEY: NOT: 3. ANS: STA: KEY: NOT: 4. ANS: TOP: BLM: 5. ANS: STA: KEY: NOT: 6. ANS: STA: KEY: NOT: 7. ANS: TOP: KEY: NOT: 8. ANS: TOP: BLM: 9. ANS: TOP: BLM: 10. ANS: TOP: BLM: 11. ANS: STA: KEY: NOT: 12. ANS: STA: KEY: NOT: 13. ANS: NAT: KEY: B PTS: 1 DIF: Level A REF: MLPA0337 Lesson 8.1 Relations and Functions KEY: ordered pair | domain | range | relation Knowledge NOT: 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MLPA0339 NCTM 6-8.ALG.1.b TOP: Lesson 8.1 Relations and Functions identify | function | map | relation BLM: Comprehension 978-0-618-79813-1 B PTS: 1 DIF: Level A REF: AXG80245 OK.PASS.MTH.02.8.1.1.b TOP: Lesson 8.2 Linear Equations in Two Variables equation | solution | ordered pair BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level C REF: MLPA0328-WJ Lesson 8.2 Linear Equations in Two Variables KEY: solve | equation | solution | ordered pair Comprehension NOT: 978-0-618-79813-1 C PTS: 1 DIF: Level B REF: MLC30310 OK.PASS.MTH.02.8.1.1.b TOP: Lesson 8.2 Linear Equations in Two Variables linear | equation | graph | slope-intercept BLM: Comprehension 978-0-618-79813-1 D PTS: 1 DIF: Level B REF: MLC30311 OK.PASS.MTH.02.8.1.1.b TOP: Lesson 8.2 Linear Equations in Two Variables line | graph | vertical | horizontal BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MALG0614 Lesson 8.2 Linear Equations in Two Variables vertical | linear equation | graph | horizontal BLM: Comprehension 978-0-618-79813-1 C PTS: 1 DIF: Level A REF: MLPA0357 Lesson 8.3 Using Intercepts KEY: line | equation | graph | y-intercept | identify | x-intercept Comprehension NOT: 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MLPA0353 Lesson 8.3 Using Intercepts KEY: line | equation | y-intercept | x-intercept Comprehension NOT: 978-0-618-79813-1 C PTS: 1 DIF: Level B REF: MLC30923 Lesson 8.4 The Slope of a Line KEY: line | graph | slope Comprehension NOT: 978-0-618-79813-1 A PTS: 1 DIF: Level A REF: MLC30339 OK.PASS.MTH.02.8.4.3.a.II TOP: Lesson 8.4 The Slope of a Line line | slope | point | coordinate BLM: Comprehension 978-0-618-79813-1 D PTS: 1 DIF: Level A REF: MLC30340 OK.PASS.MTH.02.8.4.3.a.II TOP: Lesson 8.4 The Slope of a Line line | slope | point | coordinate | undefined BLM: Comprehension 978-0-618-79813-1 C PTS: 1 DIF: Level A REF: MLPA0363 NCTM 6-8.ALG.2.b TOP: Lesson 8.5 Slope-Intercept Form slope | y-intercept BLM: Comprehension NOT: 14. ANS: NAT: KEY: NOT: 15. ANS: TOP: BLM: 16. ANS: NAT: TOP: BLM: 17. ANS: NAT: KEY: NOT: 18. ANS: NAT: KEY: NOT: 19. ANS: NAT: KEY: NOT: 20. ANS: TOP: KEY: NOT: 21. ANS: TOP: BLM: 22. ANS: TOP: KEY: NOT: 23. ANS: TOP: BLM: 24. ANS: TOP: BLM: 25. ANS: TOP: BLM: 978-0-618-79813-1 C PTS: 1 DIF: Level B REF: MLPA0365 NCTM 6-8.ALG.2.b TOP: Lesson 8.5 Slope-Intercept Form line | slope | y-intercept BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: BMGM0363 Lesson 8.5 Slope-Intercept Form KEY: line | slope | parallel | perpendicular Comprehension NOT: 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MLPA0774 NCTM 6-8.ALG.2.b STA: OK.PASS.MTH.02.8.1.1.b Lesson 8.5 Slope-Intercept Form KEY: line | equation | graph | slope-intercept Comprehension NOT: 978-0-618-79813-1 C PTS: 1 DIF: Level B REF: MPAL0021 NCTM 6-8.ALG.2.b TOP: Lesson 8.6 Writing Linear Equations line | equation | graph | slope-intercept BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level A REF: MPAL0022 NCTM 6-8.ALG.2.b TOP: Lesson 8.6 Writing Linear Equations linear | equation | slope | y-intercept | slope-intercept BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MPAL0025 NCTM 6-8.ALG.2.b TOP: Lesson 8.6 Writing Linear Equations linear | equation | point | slope-intercept BLM: Comprehension 978-0-618-79813-1 C PTS: 1 DIF: Level B REF: MPAL0027 Lesson 8.6 Writing Linear Equations line | equation | point | parallel | slope-intercept BLM: Comprehension 978-0-618-79813-1 D PTS: 1 DIF: Level B REF: MLPA0392 Lesson 8.8 Systems of Linear Equations KEY: solve | linear | equation | graph | system Comprehension NOT: 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MLPA0399 Lesson 8.8 Systems of Linear Equations solve | linear | equation | graph | system | inconsistent BLM: Comprehension 978-0-618-79813-1 A PTS: 1 DIF: Level B REF: MPAL0032 Lesson 8.9 Graphs of Linear Inequalities KEY: inequality | linear | solution | ordered pair Comprehension NOT: 978-0-618-79813-1 B PTS: 1 DIF: Level B REF: MLC30762 Lesson 8.9 Graphs of Linear Inequalities KEY: inequality | linear | graph Comprehension NOT: 978-0-618-79813-1 B PTS: 1 DIF: Level C REF: MLC30757 Lesson 8.9 Graphs of Linear Inequalities KEY: inequality | linear | graph | plane Comprehension NOT: 978-0-618-79813-1