Practice with Integers

In the following exercises, compare the numbers, using $<$ or $>$ or $=$.

1. 
   
   1. $−6$ _____ $3$
   2. $−1$ _____ $−4$

In the following exercises, find the opposite of each number.

2. 
   
   1. $−7$
   2. $8$

In the following exercises, simplify.

3. $|4−9|$
   
   
4. $−15+(−12)$
   
   
5. $10−(5−6)$
   
   
6. $−6(−9)$
   
   
7. $(−2)^3$
   
   
8. $16−3(5−7)$

In the following exercises, translate each phrase into an algebraic expression and then simplify, if possible.

9. the difference of $−7$ and $−4$

In the following exercises, solve.

10. Early one morning, the temperature in Syracuse was −8°F. By noon, it had risen 12°. What was the temperature at noon?

Source: Rice University, https://openstax.org/books/prealgebra-2e/pages/3-practice-test
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