Sophia College Algebra UNIT 1 - CHALLENGE 1 Essential Concepts.docx

This preview shows page 1 - 3 out of 5 pages.

1. Consider the following set of real numbers: Which of the following contains all of the irrational numbers in the set? a.) b.) c.) d.) c.) Correct. Recall that rational numbers can be written as a ratio of two integers and have a terminating or repeating decimal. The only irrational numbers in the set are , and . The evaluates to , evaluates to is . This means they are non-terminating, non-repeating decimals. , , and
2. Evaluate the expression. 8 – (-12) + 20 – 13 + (-15)
d.) 42 b.) Correct. First, subtract a negative 12 from 8, which is the same as adding a positive 12 to 8. Next, add 20 and 20 to get 40. Now subtract 13 to get 27. Finally, add negative 15 to get 27 + (-15) = 12. 3. Which of the following will yield a positive number?

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture