Algebra 1 Common Core Student Edition, Grade 8-9

41. Compare and Contrast G raph 3x + y = 6, 3x - y = 6, an d -3 x + y = 6. How are

th e graphs similar? How are they different?

42. Reasoning W hat are th e slope a n d y -intercept of th e g raph of Ax + By = C?


43. Error Analysis A stu d en t says th e eq u a tio n y = 4x + 1 can be w ritten in stan d ard
    form as 4x — y = 1. D escribe a n d correct th e stu d en t's error.


44. Reasoning I h e coefficients of x a n d y in th e stan d ard form of a lin ear equ atio n
    ca n n o t b o th be zero. Explain why.

I Graphing Calculator Use a graphing calculator to graph each equation. Make a

I sketch of the graph. Include the x- and y-intercepts.

45. 2x-8y= -16


46. -x + 2y = -8
    46. — 3 x - 4 y = 0
    49. 3x + 3 y = - 1 5
    47. x + 3.5y = 7
    50. 4x - 6y = 9


47. Compare and Contrast The graph below rep resen ts one function, a n d th e table
    represents a different function. How are th e functions sim ilar? How are they
    different?

X -4 -2 0 24

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Find the x- and y-intercepts of the line that passes through the given points.

52. ( - 6 , 4), (3, - 5 ) 53. ( - 5 , - 5 ) , (4, - 2 ) 54. ( - 7 , 6), ( - 4 , 11)


53. ( - 2 , 8), (4, 2) 56. (3, - 8 ) , ( - 4 ,1 3 ) 57. (5, 0.4), ( - 1 , - 2 )


54. Sports The scoreboard for a football gam e is show n at th e right. All of
    th e points th e hom e team scored cam e from field goals w orth 3 points
    a n d touchdow ns w ith successful extra-point a ttem p ts w o rth 7 points.
    Write an d graph a lin ear eq u a tio n th a t rep resen ts this situation. List
    every possible co m bination of field goals an d touchdow ns th e team
    could have scored.

(^ C h a lle n g e 59. Geometry G raph x + 4y = 8, 4x - y = — 1, x + 4y = —12, an d 4x-y = 20
in th e sam e coordinate plane. W hat figure do th e four lines ap p e a r to form?

Write an equation of each line in standard form.

60. The line contains th e p o in t ( - 4 , - 7 ) a n d has th e sam e slope as th e graph of
    y + 3 = 5(x + 4).


61. The line has th e sam e slope as 4x - y = 5 an d th e sam e y-intercept as th e graph of
    3y - 13x = 6.

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