7/29/2019 Algebra One Linear Equations Practice
1/2
S12 Extra Practice
Lesson
5-1
Identify whether each graph represents a function. Explain. If
the graph doesrepresent a function, is the function linear?
1.
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2.
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3.
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Tell whether the given ordered pairs satisfy a linear function.
Explain.
4.x -4 -2 0 2 4
y 7 6 5 4 3
5.x 2 5 8 11 14
y 12 8 7 3 3
Tell whether each equation is linear. If so, write the equation
in standard form andgive the values ofA, B, and C.
6. y= 8- 3x 7.x_
3= 4- 2y 8. -3 +xy= 2 9. 4x=-3- 3y
Lesson
5-2
Find thex- andy-intercepts.
10.
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11.
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12. -4x= 2y- 1 13.x-y= 3 14. 2x- 3y= 12 15. 2.5x+ 2.5y= 5
Use intercepts to graph the line described by each equation.
16. 15=-3x- 5y 17. 4y= 2x+ 8 18.y= 6 - 3x 19. -2y=x+ 2
Lesson
5-3
Find the slope of each line.
20.
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21.
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Lesson
5-4
Find the slope of the line that contains each pair of
points.
22. (-1, 2) and (-4, 8) 23. (2, 6) and (0, 1) 24. (-2, 3) and
(4, 0)
Find the slope of the line described by each equation.
25. 2y= 42- 6x 26. 3x+ 4y= 12 27. 3x= 15+ 5y
Chapter 5 Skills Practice
7/29/2019 Algebra One Linear Equations Practice
2/2
Extra Practice S13
Lesson
5-5
Tell whether each equation represents a direct variation. If so,
identify the constantof variation.
28. x- 2y= 0 29.x-y= 3 30. 3y= 2x
31. The value ofyvaries directly withx, andy= 2 whenx=-3.
Findywhenx= 6.
32. The value ofyvaries directly withx, andy=-3 whenx= 9.
Findywhenx= 12.
Each ordered pair is a solution of a direct variation. Write the
equation of directvariation.
33. (1, 4) 34. (-2, 12) 35. (1_2, -3) 36. (5, 2)37. (8, 12) 38.
(7, -2) 39. (12, -3) 40. (5, 15)
Lesson
5-6
Write the equation that describes each line in slope-intercept
form.
41. slope = 2,y-intercept=-2 42. slope= 0.25,y-intercept= 4
43. slope =-2,y-intercept= 3 44. slope= 1_3
,y-intercept= 2
Write each equation in slope-intercept form. Then graph the line
described by theequation.
45. 2y=x- 3 46. -3x- 2y= 1 47. 2y- 1_2
x= 2
Lesson
5-7
Write an equation in point-slope form for the line with the
given slope thatcontains the given point.
48. slope = 2; (0, 3) 49. slope=-1; (1, -1) 50. slope= 1_2
; (2, 4)
51. slope =1_3
; (1, 2) 52. slope=-2; (3, 1) 53. slope= 3; (-2,-5)
Write an equation in slope-intercept form for the line through
the two points.
54. (-1, 1) and (1, -2) 55. (3, 1) and (2, -3) 56. (4, -5) and
(2, -1)
Lesson
5-8
57. Identify which lines are parallel:y= 3x- 2;y=-2;y= 3x+ 7;y=
0
58. Identify which lines are perpendicular:y=-2(2x- 1);y=1_2
(x+ 3);y= 1_4
(x+ 8);y- 4 = 2(3- 2x)
Write an equation in slope-intercept form for the line that is
parallel to the givenline and that passes through the given
point.
59. y=-2x+ 3; (1, 4) 60.y=x- 5; (2, -4) 61. y= 3x; (-1, 5)
Write an equation in slope-intercept form for the line that is
perpendicular to thegiven line and that passes through the given
point.
62. y=x+ 1; (3, -2) 63.y=-4x- 1; (-1, 0) 64. y= 4x+ 5; (2,
-1)
Lesson
5-9
Graphf(x)andg(x). Then describe the transformation(s) from the
graph off(x)tothe graph ofg(x).
65. f(x)=x,g(x)=x+ 2 66.f(x)=x,g(x)=x-1_2
67. f(x)= 6x+ 1,g(x)= 2x+ 1 68.f(x)= 3x- 1,g(x)= 9x- 1
69. f(x)=x,g(x)= 2x- 1 70.f(x)=x+ 1,g(x)=-1_2
x
Graphf(x). Then reflect the graph off(x)across they-axis. Write
a functiong(x)todescribe the new graph.
71. f(x)= 2x+ 3 72.f(x)=-3x- 1 73. f(x)=-4x
Chapter 5 Skills Practice
