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Ch 1 Assessment _Sup_

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Math I                                          Name:____________________________
Chapter 1 Assessment
                                                Date:_____________________________

Use the scenario below to answer Questions 1-5.
Elliot is pumping water out of a flooded basement at a rate of 20 gallons per minute.
The basement contains 9500 gallons of water.

    1. What are the two variable quantities in the situation?
        a. 20 gal per min      b. 9500 gal
        c. gallons of water    d. time (min)                        1. ______________   3 points

    2. Let x represent time measured in minutes and y represent amount of water
       measured in gallons. Which of the following equations represent the amount of
       water being pumped from the basement?
        a. y = 9500 + 20x
        b. y – 20x = 9500
        c. y = 9500 – x
        d. y = 9500 – 20x                                          2. ______________    3 points

    3. To the nearest gallon, how much water will be left in the basement after 200
       minutes?



                                                                    3. ______________     3 points

    4. How long will it take Elliot to completely empty the basement?



                                                                                          3 points
                                                                    4. ______________

    5. For what time will the basement contain more than 6000 gallons? Write your
       answer as an inequality to the nearest minute.
        a. x < 175
        b. x < 300
        c. x ≤ 175                                                                        3 points
        d. x ≤ 300                                                 5. ______________

    6. Solve -6(c + 2) = 18




                                                                                        4 points
                                                                    6. ______________
    7. Solve 3x + 5 > -28 and graph solution.

                                                                    7. ______________   4 points
                                                                                              2 points
2

                                           4 points
    8. a. Graph the equation y = 3x - 5.

                                                        a. What is the slope?   _________      2 points

                                                        b. What is the y-intercept? _______ 2 points
                                                                                               2 points
                                                        c. What is the x-intercept? ______




    9. Find the x- and y-intercepts of 4x – 6y = -36.

                                                                                             5 points
                                                                      9. ______________

    10. a. Graph the equation y = -5x.   3 points       b. Write the equation of the line if it
                                                           shifts down 2.
                                                                       10. ______________ 4 points




    11. Which transformation moves a line up or down?
         a. Shift      b. Dilation           c. Reflection            d. Rotation

                                                                      11. ______________2 points

    12. Which transformation will increase or decrease the slope of a line?
         a. Shift      b. Dilation             c. Reflection         d. Rotation

                                                                      12. ______________ 2 points
3

    13. Which transformation(s) will flip the line about an axis?
         a. Shift      b. Dilation                c. Reflection          d. Rotation

                                                                         13. ______________2 points


    14. If the graph of the line y = x is transformed by a dilation of 4, what would be the
        equation of the new line?
                                          1
         a. y = 4x               b. y =     x             c. y = x + 4          d. y = x – 4
                                          4

                                                                         14. ______________ 3 points

    15. Determine the equation of the line that passes through (2, -5) and (6, 3).
                  1                                1
         a. y =     x–6                   b. y =     x
                  2                                2
         c. y = 2x + 12                   d. y = 2x – 9

                                                                         15. ______________ 5 points

    16. Find the equation of the line parallel to the graph y = -2x + 4 and passing through
        (-1, 5).
          a. y = -2x + 9                 b. y = 2x – 9
          c. y = 2x + 7                  d. y = -2x + 3



                                                                         16. ______________     5 points



    17. What are the solution(s) to the equation x  6 = 12?




                                                                         17. ______________     4 points

    18. What is the solution set of the inequality x  6 ≥ 2?
         a. x ≤ 4 or x ≥ 8                b. 4 ≤ x ≤ 8
         c. x ≤ -4 or x ≥ 8               d. x ≥ 4 or x ≤ -8


                                                                         18. ______________     4 points
4

    19. Graph y = │x - 3│ 5 points




    20. The graph of a linear function will always be a
        a. straight line.        b. piecewise function.
        c. circle.               d. curve.                             20. ______________ 3 points

    21. The function f(x) = x  7 is an example of what type of function?
       a. Absolute Value Function       b. Linear Function
       c. Linear Inequality             d. Inequality Function         21. ______________ 3 points

    22. How would the inequality y ≤ x  5 be shown on a graph?
       a.   A solid line with a shaded area above it.
       b.   A solid line with a shaded area below it.
       c.   A dashed line with a shaded area above it.
       d.   A dashed line with a shaded area below it.                 22. ______________ 3 points


    23. The first term in an arithmetic sequence is -5 and the common difference is 6. List
        the first six terms of the sequence.

                                                                 23. ____________________ 3 points

    24. a. Write the first 6 terms of the arithmetic sequence with the given explicit
           formula.                     an=2n – 7
                                                               24a. ___________________          3 points

       b. Identify the common difference d.                      24b. ___________________        3 points


    25. Which of the following is the correct recursive formula for the sequence -5, 0, 5, 10,
        15, 20, 25,…..?
        a. an = an-1 + -5        b. an = an-1 – 5       c. an = an-1 + 5      d. an = 5an-1

                                                                 25. __________________ 3 points

				
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