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10.9: Proficiency Exam

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    Proficiency Exam

    Exercise \(\PageIndex{1}\)

    Write all integers that are strictly between –8 and –3.

    Answer

    {-7, -6, -5, -4}

    Exercise \(\PageIndex{2}\)

    Write all integers that are between and including –2 and 1.

    Answer

    {-2, -1, 0, 1}

    For problems 3-5, write the appropriate symbol (<, >, =) in place of the □ for each pair of numbers.

    Exercise \(\PageIndex{3}\)

    –1 □ –1

    Answer

    =

    Exercise \(\PageIndex{4}\)

    0 □ 3

    Answer

    <

    Exercise \(\PageIndex{5}\)

    –1 □ –2

    Answer

    >

    For problems 6 and 7, what numbers can replace \(x\) so that the statement is true?

    Exercise \(\PageIndex{6}\)

    \(-3 \le x < 0\), \(x\) is an integer.

    Answer

    {-3, -2, -1}

    Exercise \(\PageIndex{7}\)

    \(-4 \le x \le 0\), \(x\) is a natural number.

    Answer

    {1, 2}

    Exercise \(\PageIndex{8}\)

    How many units are there between –3 and 2?

    Answer

    5

    For problems 9-20, find each value.

    Exercise \(\PageIndex{9}\)

    |-16|

    Answer

    16

    Exercise \(\PageIndex{10}\)

    -|-2|

    Answer

    -2

    Exercise \(\PageIndex{11}\)

    \(-(-|-4|^2)\)

    Answer

    16

    Exercise \(\PageIndex{12}\)

    |-5| + |-10|

    Answer

    15

    Exercise \(\PageIndex{13}\)

    -8 + 6

    Answer

    -2

    Exercise \(\PageIndex{14}\)

    -3 + (-8)

    Answer

    -11

    Exercise \(\PageIndex{15}\)

    0 - 16

    Answer

    -16

    Exercise \(\PageIndex{16}\)

    \((-14) \cdot (-3)\)

    Answer

    42

    Exercise \(\PageIndex{17}\)

    \((-5 - 6)^2\)

    Answer

    121

    Exercise \(\PageIndex{18}\)

    \((-51) \div (-7)\)

    Answer

    \(\dfrac{51}{7}\) or \(7 \dfrac{2}{7}\)

    Exercise \(\PageIndex{19}\)

    \(\dfrac{-42}{-7}\)

    Answer

    6

    Exercise \(\PageIndex{20}\)

    \(|\dfrac{-32}{8} - \dfrac{-15 - 5}{5}|\)

    Answer

    0

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