10.9: Proficiency Exam

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