Part IV — Linear Equations

    Answer the following 14 questions.
    You have 30 minutes to complete this section of the Entrance Exam.

    1.

    According to the figure above,
    A. as x increases, y decreases.
    B. as x increases, y remains constant.
    C. as x remains constant, y decreases.
    D. as x decreases, y increases.
    E. as x increases, y increases.
    ABCDEF

    2.

    Which of the following accurately describes the trends in the chart above?
    A. As a increases, b decreases.
    B. As a increases, b increases.
    C. As a decreases, b decreases.
    D. As a decreases, b increases.
    E. As a decreases, b does not change.
    ABCDEF

    3.

    Which statement is true for the given data?
    A. As s increases, t decreases.
    B. As s decreases, t does not change.
    C. As s increases, t does not change.
    D. As s increases, t increases.
    E. As s decreases, t decreases.
    ABCDEF


    For Questions 4–19, match the equation to the appropriate graph.

    4. 3x – 5y = 29


    ABCDE

    5. y = – ½ x – 5


    ABCDE

    6. x + y = –3


    ABCDE

    7. 3x + 4y = 25


    ABCDE

    8. y = 2x – 5


    ABCDE

    9. y = –4x + 5


    ABCDE

    10. –5x + 2y + 7 = 0


    ABCDE

    11. –5y = –3x – 19


    ABCDE

    12. 4x – 5y = –36


    ABCDE

    13. y = –2x – 5


    ABCDE

    14. y = 5x + 6


    ABCDE

    15. x = –y


    ABCDE

    16. y = 5x – 4


    ABCDE

    17. 2x – 4y = –9


    ABCDE

    18. y = –1


    ABCDE

    19. y = –5x + 4


    ABCDE


    For questions 20–25, choose the correct equation of the graphed line in slope-intercept form.

    NOTE: if a fraction precedes x, the x is NEVER in the denominator.

    20.

    A. y = −x − 7
    B. y = −3/7 x − 3
    C. y = −7/3 x − 7
    D. y = −x − 3

    ABCDE

    21.

    A. y = x + 6
    B. y = −x − 6
    C. y = −x + 6
    D. y = x − 6

    ABCDE

    22.

    A. y = x + 3
    B. y = x − 3
    C. y = −x − 3
    D. y = −x + 3

    ABCDE

    23.

    A. y = 7x + 7
    B. y = x + 2
    C. y = −2/7 x + 2
    D. y = −7/2 x + 7

    ABCDE

    24.

    A. y = −4
    B. x = −4
    C. y = 4
    D. x = 4

    ABCDE

    25.

    A. y = 3/2 x + 3
    B. y = x + 3
    C. y = −2x − 2
    D. y = 2/3 x − 2

    ABCDE