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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Signed Numbers." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) Write all integers that are strictly between –8 and –3.

7, 6, 5, 4 size 12{ left lbrace -7,-6,-5,-4 right rbrace } {}

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( [link] ) Write all integers that are between and including –2 and 1.

2, 1, 0, 1 size 12{ left lbrace -2, -1, 0, 1 right rbrace } {}

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

For problems 6 and 7, what numbers can replace x size 12{x} {} so that the statement is true?

( [link] ) - 3 x < 0 size 12{ –3<= x<0} {} , x size 12{x} {} is an integer.

- 3, - 2, - 1 size 12{ left lbrace -3,-2,-1 right rbrace } {}

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( [link] ) - 4 x 0 size 12{ –4<= x<= 0} {} , x size 12{x} {} is a natural number.

1, 2 size 12{ left lbrace 1, 2 right rbrace } {}

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( [link] ) How many units are there between –3 and 2?

5

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For problems 9-20, find each value.

( [link] ) 16 size 12{ lline - "16" rline } {}

16

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( [link] ) 2 size 12{ - lline - 2 rline } {}

2 size 12{-2} {}

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( [link] ) ( 4 2 ) size 12{ - \( - lline - 4 rline rSup { size 8{2} } \) } {}

16

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( [link] ) 5 + 10 size 12{ lline - 5 rline + lline - "10" rline } {}

15

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( [link] ) 8 + 6 size 12{ - 8+6} {}

2 size 12{-2} {}

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( [link] ) 3 + ( 8 ) size 12{ - 3+ \( - 8 \) } {}

11 size 12{-"11"} {}

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( [link] ) 0 16 size 12{0 - "16"} {}

16 size 12{-"16"} {}

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( [link] ) ( 14 ) ( 3 ) size 12{ \( - "14" \) cdot \( - 3 \) } {}

42

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( [link] ) ( 5 6 ) 2 size 12{ \( - 5 - 6 \) rSup { size 8{2} } } {}

121

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( [link] ) ( 51 ) ÷ ( 7 ) size 12{ \( - "51" \) div \( - 7 \) } {}

51 7 or 7 2 7 size 12{ { {"51"} over {7} } " or "7 { {2} over {7} } } {}

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( [link] ) 42 7 size 12{ { { - "42"} over { - 7} } } {}

6

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( [link] ) 32 8 15 5 5 size 12{ lline { { - "32"} over {8} } - { { - "15" - 5} over {5} } rline } {}

0

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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