10.9: Proficiency Exam
- Page ID
- 53072
Proficiency Exam
Exercise \(\PageIndex{1}\)
Write all integers that are strictly between –8 and –3.
- Answer
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{-7, -6, -5, -4}
Exercise \(\PageIndex{2}\)
Write all integers that are between and including –2 and 1.
- Answer
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{-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
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=
Exercise \(\PageIndex{4}\)
0 □ 3
- Answer
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<
Exercise \(\PageIndex{5}\)
–1 □ –2
- Answer
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>
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
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{-3, -2, -1}
Exercise \(\PageIndex{7}\)
\(-4 \le x \le 0\), \(x\) is a natural number.
- Answer
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{1, 2}
Exercise \(\PageIndex{8}\)
How many units are there between –3 and 2?
- Answer
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5
For problems 9-20, find each value.
Exercise \(\PageIndex{9}\)
|-16|
- Answer
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16
Exercise \(\PageIndex{10}\)
-|-2|
- Answer
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-2
Exercise \(\PageIndex{11}\)
\(-(-|-4|^2)\)
- Answer
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16
Exercise \(\PageIndex{12}\)
|-5| + |-10|
- Answer
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15
Exercise \(\PageIndex{13}\)
-8 + 6
- Answer
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-2
Exercise \(\PageIndex{14}\)
-3 + (-8)
- Answer
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-11
Exercise \(\PageIndex{15}\)
0 - 16
- Answer
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-16
Exercise \(\PageIndex{16}\)
\((-14) \cdot (-3)\)
- Answer
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42
Exercise \(\PageIndex{17}\)
\((-5 - 6)^2\)
- Answer
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121
Exercise \(\PageIndex{18}\)
\((-51) \div (-7)\)
- Answer
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\(\dfrac{51}{7}\) or \(7 \dfrac{2}{7}\)
Exercise \(\PageIndex{19}\)
\(\dfrac{-42}{-7}\)
- Answer
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6
Exercise \(\PageIndex{20}\)
\(|\dfrac{-32}{8} - \dfrac{-15 - 5}{5}|\)
- Answer
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0