Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
Mid-Chapter Quiz MafhXL for School^
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Do y o u k n o w H OW?
Each rate of change is constant. Find the rate of change
and explain what it means.

Write an equation in slope-intercept form of each line.


  1. Studying fo r a Test


m


  1. Distance a Car Travels


(^585)
6 87
7 89
(^891)
Find the slope of the line that passes through each pair
of points.



  1. (7,3), (5 , 1 )

  2. (6, - 4 ) , (6, 6)
    4. ( - 2 , 1 ) , (3, 6)
    6. (2, 5), ( - 8 , 5)


Tell whether each equation is a direct variation. If it is,
find the constant of variation.


  1. y = 3x

  2. 5x + 3 = 8y + 3

  3. —3x - 35y = 14


Find the slope and y-intercept of the graph of each equation.



  1. y = fx + 3

  2. 3x+4y= 12

  3. 6y = —8x — 18

  4. Credit Cards In 2000, people charged $1,243 billion
    on the four m ost-used types of credit cards. In 2005,
    people charged $1,838 billion on these sam e four
    types of credit cards. W hat was th e rate of change?

  5. Bicycling The distance a w heel m oves forward
    varies directly w ith the n u m b e r of rotations. Suppose
    the w heel m oves 56 ft in 8 rotations. W hat distance
    does the w heel move in 20 rotations?


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(^6150)
9 225
12 300
Graph each equation.



  1. y = 4x-3

  2. y + 3 = |(x+2)


Write an equation in point-slope form for the line
through the given point and with the given slope m.


  1. ( 2 , -2y,m = - \

  2. (4, 0); m = 4


Write an equation of the line that passes through each
pair of points.


  1. ( 4 , - 2 ) an d (8, - 6 )

  2. (-1,-5) and (2,10)


Do y o u UN DERSTAND?



  1. W riting D escribe two m eth o d s you can use to write
    an e q u a tio n of a line given its graph.

  2. Vocabulary H ow can you find the y-intercept of the
    graph of a linear equation?

  3. Reasoning C an you g raph a line if its slope is
    undefined? Explain.

  4. Busi ness A salesperson earns $18 p er h o u r plus a
    $75 b o n u s for m eeting h e r sales quota. Write an d
    graph an eq u a tio n th a t represents h er total earnings,
    including h e r bonus. W hat does th e in d ep en d e n t
    variable represent? W hat does th e d ep e n d e n t
    variable represent?

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