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
This work is licensed under a Creative Commons Attribution 4.0 License.

1. 
   
   1. \( < \)
   2. \( > \)
2. 
   
   1. \(7\)
   2. \(−8\)
      
      
3. \(5\)
   
   
4. \(−27\)
   
   
5. \(11\)
   
   
6. \(54\)
   
   
7. \(−8\)
   
   
8. \(22\)
   
   
9. \(−7 − (−4) = −3\)
   
   
10. \(4°F\)