Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra 1 Chapter 4 Test Write an equation of the line with the given slope and y-intercept. ____ ____ 1. slope: –3 y-intercept: –6 a. b. c. d. 2. slope: y-intercept: –1 a. c. b. d. Write an equation of the line in slope-intercept form. ____ 3. y 10 8 6 (–8, 3) –10 –8 –6 –4 4 2 –2 –2 –4 –6 2 4 6 8 10 x (0, –5) –8 –10 a. b. c. d. ____ 4. y 5 (–4, 4) 4 3 (0, 4) 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 a. b. ____ c. d. 5. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 (0, 0) 1 2 3 4 5 x (4, –2) –3 –4 –5 a. y = 2x b. y = 2x – 2 c. 1 y= x 2 d. 1 y= x+2 2 Write an equation of the line that passes through the given points. ____ ____ 6. (–5, –1), (0, –1) a. y = –5 b. 2 y= x+ 1 5 c. y = –1 d. 5 23 y= x+ 2 2 7. (2, 3), (0, –1) a. y = 3x – 3 c. b. y = 2x – 1 1 7 x+ 3 3 d. y = 2 y= ____ 8. Write a linear function f with the values a. . c. b. ____ d. 9. Write a linear function f with the values a. b. . c. d. Write an equation in point-slope form of the line that passes through the given point and has the given slope. ____ 10. (–3, 2); m = –3 a. b. c. d. ____ 11. (16, –4); m = – a. c. b. d. Write an equation in slope-intercept form of the line shown. y ____ 12. 6 4 (2, 4) 2 –6 –4 –2 (3, 2) 2 4 6 x –2 –4 –6 a. y = 2x + 8 b. 1 y= x+ 8 2 ____ 13. Write a linear function f with the values a. 5 13 f(x) = x – 3 3 c. y = 2x – 8 d. y = 2x – 8 . c. f(x) = 13 5 x– 3 3 b. f(x) = 2x – 1 d. ____ 14. Write a linear function f with the values a. b. 3 f(x) = x + 1 5 . c. f(x) = –6x + 10 d. f(x) = x – 10 ____ 15. Write an equation of the line that passes through the given point and is parallel to the given line. 3 (4, 5); y = x + 3 2 a. c. 3 y= x–1 2 b. 3 y= x+3 2 3 y = x + 11 2 d. 3 y = x + 11 2 ____ 16. Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (–6, –4); y = x + 1 3 c. y = 3x + 14 a. 1 y= x+1 3 b. 1 y = x – 22 3 d. y = 3x – 22 ____ 17. The city council members of a small coastal town want to construct a new boardwalk along the beach. They want the boardwalk (shown in bold) to be perpendicular to the road leading to the beach. Write an equation that represents the boardwalk. y 8 4 –8 (4, 4) –4 4 –4 8 x (0, –4) –8 a. b. 1 2 c. d. –2 Tell whether x and y show a positive, a negative, or no correlation. ____ 18. 50 y 45 40 35 30 25 20 15 10 5 5 10 15 20 25 30 35 40 45 50 x 15 20 25 30 35 40 45 50 x a. positive b. negative c. no ____ 19. 50 y 45 40 35 30 25 20 15 10 5 5 10 a. no b. positive c. negative Write the next three terms of the arithmetic sequence. ____ 20. 19, 11, 3, –5, ... a. –13, –21, –29 b. –12, –19, –26 c. 3, 11, 19 d. –13, –20, –26 Write an equation for the nth term of the arithmetic sequence. Then find a10. ____ 21. –2, 5, 12, 19, ... a. ; a10 = 79 b. ; a10 = 54 c. d. ____ 22. 13, 9, 5, 1, ... a. c. ; a10 = –57 ; a10 = 61 ; a10 = 68 ; a10 = –19 ; a10 = –23 b. ; a10 = –27 d. Graph the function. Describe the domain and range. ____ 23. a. Domain: Range: all real numbers 5 c. Domain: all real numbers Range: y –5 5 5 x –5 –5 5 x –5 b. Domain: Range: all real numbers 5 y d. Domain: all real numbers Range: y –5 5 5 x –5 y –5 5 x –5 ____ 24. a. Domain: all real numbers Range: c. Domain: all real numbers Range: 5 y 5 –5 5 x –5 5 x –5 –5 b. Domain: all real numbers Range: 5 y d. Domain: all real numbers Range: y 5 –5 5 x y –5 5 x –5 –5 ____ 25. a. Domain: all real numbers Range: c. Domain: all real numbers Range: y –8 y 8 8 4 4 –4 4 8 x –8 –4 4 –4 –4 –8 –8 b. Domain: all real numbers d. Domain: all real numbers 8 x Range: Range: y –8 y 8 8 4 4 –4 4 8 x –8 –4 4 –4 –4 –8 –8 8 x Algebra 1 Chapter 4 Test Answer Section 1. ANS: NAT: KEY: 2. ANS: NAT: KEY: 3. ANS: NAT: KEY: NOT: 4. ANS: NAT: KEY: NOT: 5. ANS: NAT: KEY: NOT: 6. ANS: NAT: KEY: NOT: 7. ANS: NAT: KEY: NOT: 8. ANS: NAT: KEY: 9. ANS: NAT: KEY: 10. ANS: NAT: KEY: NOT: 11. ANS: NAT: KEY: NOT: 12. ANS: NAT: KEY: NOT: 13. ANS: NAT: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | slope | y-intercept | equation NOT: Example 1 B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | slope | y-intercept | equation NOT: Example 1 B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | linear equation in two variables | slope-intercept form | equation Example 2 B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | linear equation in two variables | slope-intercept form | equation Example 2 C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | linear equation in two variables | slope-intercept form | equation Example 2 C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | linear equation in two variables | equation Example 3 B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations | linear equation in two variables | equation Example 3 D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing linear functions | linear function NOT: Example 4 C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.1 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing linear functions | linear function NOT: Example 4 B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.2 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations of lines using a slope and a point | point-slope form | writing equations | equation Example 1 C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.2 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing equations of lines using a slope and a point | point-slope form | writing equations | equation Example 1 A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.2 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 slope-intercept form | equation | writing equations of lines using two points | writing equations Example 2 A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.2 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 KEY: 14. ANS: NAT: KEY: 15. ANS: NAT: KEY: NOT: 16. ANS: NAT: KEY: NOT: 17. ANS: NAT: KEY: 18. 19. 20. 21. 22. 23. 24. 25. writing linear functions | linear function NOT: Example 3 A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.2 HSA-CED.A.2 | HSF-BF.A.1a | HSF-LE.A.2 writing linear functions | linear function NOT: Example 3 C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.3 HSA-CED.A.2 | HSF-LE.A.2 parallel lines | writing equations of parallel lines | equation | writing equations Example 2 D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.3 HSA-CED.A.2 | HSF-LE.A.2 perpendicular lines | writing equations | writing equations of perpendicular lines | equation Example 4 A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.3 HSA-CED.A.2 | HSF-LE.A.2 application | perpendicular lines | writing equations of perpendicular lines | equation | writing equations NOT: Example 5-1 ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.4 NAT: HSF-LE.B.5 | HSS-ID.B.6a | HSS-ID.C.7 KEY: scatter plot | correlation | identifying correlations NOT: Example 2 ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.4 NAT: HSF-LE.B.5 | HSS-ID.B.6a | HSS-ID.C.7 KEY: scatter plot | correlation | identifying correlations NOT: Example 2 ANS: A PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.6 NAT: HSF-IF.A.3 KEY: sequence | term of a sequence | arithmetic sequence | writing terms of arithmetic sequences | writing sequences NOT: Example 1 ANS: C PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.6 NAT: HSF-IF.A.3 | HSF-BF.A.1a | HSF-BF.A.2 | HSF-LE.A.2 KEY: sequence | term of a sequence | arithmetic sequence | writing equations for arithmetic sequences NOT: Example 4 ANS: B PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.6 NAT: HSF-IF.A.3 | HSF-BF.A.1a | HSF-BF.A.2 | HSF-LE.A.2 KEY: sequence | term of a sequence | arithmetic sequence | writing equations for arithmetic sequences NOT: Example 4 ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.7 NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b KEY: piecewise function | graphing piecewise functions | domain | range of a function NOT: Example 2 ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.7 NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b KEY: piecewise function | graphing piecewise functions | domain | range of a function NOT: Example 2 ANS: D PTS: 1 DIF: Level 1 REF: Algebra 1 Sec. 4.7 NAT: HSA-CED.A.2 | HSA-REI.D.10 | HSF-IF.C.7b KEY: piecewise function | graphing piecewise functions | domain | range of a function NOT: Example 2