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Alg Mod 7

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    Linear Equations and Inequalities
  •   Study   Slideshow
  • 1. Write an equation in slope-intercept form to represent a line that passes through the points (-2,4) and (2,-4).
    y=-2x
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  • 2. Line r is shown on the graph. What is the equation of line r?
    y= -3/2x + 4
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  • 3. Write the equation of a line in slope-intercept form that has a slope of -¼ and passes through (2, 5).
    y = -1/4x + 5 1/2
  •  15
  • 4. The function f(x) represents the amount charged by babysitter A for x hours of work, and g(x) represents the amount charged by babysitter B for x hours of work. For how many hours of work will the babysitters charge the same amount?
    5 hrs / $55
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  • 5A. Write the linear inequality that represents each graph.
    y<x
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  • 5B. Write the linear inequality that represents each graph.
    y ≥ 2x - 1
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  • 6a. Is each ordered pair a solution of y < 2x + 3? (0,3)
    no
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  • 6b. Is each ordered pair a solution of y < 2x + 3? (4,1)
    yes
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  • 6c. Is each ordered pair a solution of y < 2x + 3? (2,10)
    no
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  • 6d. Is each ordered pair a solution of y < 2x + 3? (-5,6)
    no
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  • 7. Write an equation in standard form to represent the line shown on the graph below.
    2x - y = -4 OR -2x + y = 4
  •  15
  • 8a. The library is ordering books. Hardcovers cost $20 and paperbacks cost $12. The library’s budget is $300. Part A: Write a linear equation to represent the budget.
    20x + 12y = 300
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  • 8c. Part C If the library buys 15 paperback books, how many hardcover books can it buy?
    6
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  • 8d. Part D If the library buys 8 hardcover books, how many paperback can it buy?
    11
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  • 9a. Part A: In how many months will her checking account balance equal her savings account balance?
    6 months
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  • 9b. Part B: If Taryn deposited an additional $450 in her savings account, in how many months will her balances be the same?
    3 months
  •  15