Math 154 :: Elementary Algebra
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1 Math :: Elementary Algebra Section. Section. Section. Section. Section.
2 Math :: Elementary Algebra Section. The Rectangular (Cartesian) Coordinate System. The variable x usually represents the independent variable. The horizontal axis is used to represent the independent variable. The value of this variable represents a left/right movement.. The variable y usually represents the dependent variable. The vertical axis is used to represent the dependent variable. The value of this variable represents an up/down movement.. The points on a rectangular (Cartesian) coordinate system are called ordered pairs because they are always listed in order... A, 0 ; B, 6 ; C, ; D, ; E 0, 6. A 0, 0 ; B 0, 0 ; C 0, 0 ; D 70, 0 ; E 60, 0 7. Section. Answers
3 Math :: Elementary Algebra Section. Answers
4 Math :: Elementary Algebra Section. Graphing Linear Equations in Two-variables. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words.. xy 0 a), 0 is a solution. b), is a solution. c) 0, is not a solution. d), is a solution. e), is not a solution. 6. y x, is not a solution. a) b), 0 is a solution. c) 0, is a solution. d), is not a solution. e), is a solution. 7. y a), 0 is not a solution. b) 0, is a solution. c), is not a solution. d), is a solution. e), is a solution. Section. Answers
5 Math :: Elementary Algebra 8. xy 9. yx 6 0. y. y x Section. Answers
6 Math :: Elementary Algebra. xy. x y. y x. x y Section. Answers
7 Math :: Elementary Algebra 6. x 7. y x 8. x y 9. y x Section. Answers 6
8 Math :: Elementary Algebra 0. xy 0. y 6. x. xy 6 Section. Answers 7
9 Math :: Elementary Algebra. x y 0. xy 6. yx 8 7. x y Section. Answers 8
10 Math :: Elementary Algebra 8. x y 9. x y 0. x y Section. Answers 9
11 Math :: Elementary Algebra Section. Intercepts and Slope. This answer should be in your own words.. This answer should be in your own words.. This answer should be in your own words.. The slope of any horizontal line is 0.. The slope of any vertical line is undefined. 6. This answer should be in your own words. 7. This answer should be in your own words. 0, ; slope: 8. x-intercept:,0 ; y-intercept: 9. x-intercept: none ; y-intercept: 0, ; slope: 0 0. x-intercept: 6,0 ; y-intercept: 0, ; slope:. x-intercept:,0 ; y-intercept: none ; slope: undefined. x-intercept: 60,0 ; y-intercept: 0, 0 ; slope:. x-intercept: 6,0 ; y-intercept: 0,. x-intercept:,0 ; y-intercept: 0, 0. x-intercept:,0 ; y-intercept: 0, 6. x-intercept: 8,0 ; y-intercept: 0, 7. x-intercept: none; y-intercept: 0,0 8. x-intercept: 9 9. x-intercept:,0 ; y-intercept: none 0. x-intercept:,0 ; y-intercept: 0, ; slope: ; slope: 0. x-intercept: 0,0 ; y-intercept: 0, Section. Answers 0
12 Math :: Elementary Algebra. x-intercept:,0 ; y-intercept: 0,. x-intercept:,0 ; y-intercept: none. x-intercept: 0,0 ; y-intercept: 0,0. x-intercept: none; y-intercept: 0,0 Section. Answers
13 Math :: Elementary Algebra 6. x-intercept:,0 ; y-intercept: 0, 7. m 8. m 9. m 0 0. m. m 6. m 6. undefined. m. m 0 6. m 7. m 8. undefined 9. m 0. m. m 0. m 8. neither parallel nor perpendicular. perpendicular. neither parallel nor perpendicular 6. parallel 7. neither parallel nor perpendicular 8. Line : m ; Line : m 8 8 ; perpendicular 9. Line : m ; Line : m ; parallel 0. Line : m ; Line : m ; neither parallel nor perpendicular. Line : m 0 ; Line : m undefined; perpendicular Section. Answers
14 Math :: Elementary Algebra Section. Equations of Lines. The slope-intercept form of a linear equation is y mx b.. The point-slope form of a linear equation is y y mx x.. This answer should be in your own words.. This answer should be in your own words.. The slope of a horizontal line is 0. The general form of the equation of a horizontal line is y = a constant. 6. The slope of a vertical line is undefined. The general form of the equation of a vertical line is x = a constant. 7. If you plan to use slope-intercept form of a linear equation to write the equation of a line, you must find the slope and the y- intercept of that line before you write the equation. 8. If you plan to use point-slope form of a linear equation to write the equation of a line, you must find the slope and a point on that line before you write the equation. 9. slope: ; y-intercept: 0, 7 0. slope: ; y-intercept: 0,. slope: ; y-intercept: 0,. slope: ; y-intercept: 0,. slope: ; y-intercept: 0,. slope: ; y-intercept: 0,. slope: 0 ; y-intercept: 0, 6. slope: 7 ; y-intercept: 0,6 7. slope: ; y-intercept: 0, 8. x-intercept: 6,0 ; y-intercept: 9. x-intercept:,0 ; y-intercept: 0, 0, ; slope: ; equation: y x ; slope: ; equation: y x 0. x-intercept: none ; y-intercept: 0, ; slope: 0 ; equation: y ; y-intercept: 0, ; slope: y. x-intercept:,0. 9 x-intercept: ; equation: x,0 ; y-intercept: none ; slope: undefined ; equation: 9 x. x-intercept: 60,0 ; y-intercept:. yx 0, 0 ; slope: ; equation: y x 0 Section. Answers
15 Math :: Elementary Algebra. y x 6. y x 7. y x 8. y Section. Answers
16 Math :: Elementary Algebra 9. 8 x 0. xy. y x. xy Section. Answers
17 Math :: Elementary Algebra. y. 0x0 y 0. xy 6. x y Section. Answers 6
18 Math :: Elementary Algebra 7. x y 8. 8x y 9. 9 y x 0. xy Section. Answers 7
19 Math :: Elementary Algebra. 6 y x. y x 7 6. y x. y x. y 6. x 7. yx 9 8. y x 9. y x 9 0. yx. y x. y x. y. y x. yx 6. x 7. yx 8. y x 9. yx 60. y x 9 6. y x 0 6. yx 7 6. y x 7 6. y x 6. y x 66. y x 67. y x 68. y x Section. Answers 8
20 Math :: Elementary Algebra Section. Application Problems of Linear Equations in Two-Variables. feet per second. dollar per tickets. decreasing miles per hours, or 0.8 mile per hour. adults per children. a) y 0.x ; b) 90 tickets 6. a) C m 0 ; b) $7 ; c) 6 miles 7. a) CT 60 ; b) $80 chirps per minute ; c) 60 F 8. a) N p 7 ; b) 00 necklaces ; c) $900 ; d) $6 each ; e) $70 ; f) 7 necklaces for $ eac 9. a) T a ; b) 7 F ; c),000 feet 00 9 Section. Answers 9
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