PreCalculus – 1.1 Questions

1. Select all elements below that are natural numbers

Question 1 of 45

2. Select all elements below that are integers

Question 2 of 45

3. Select all elements below that are rational numbers

Question 3 of 45

4. Select all elements below that are irrational numbers

Question 4 of 45

5. The set of numbers between and including 5 and 16 can be written as follows:

Question 5 of 45

6. The set of numbers between but not including -6 and 6 can be written as follows:

Question 6 of 45

7. The set of numbers between 8 and 24, including 8, but not including 24 can be written as follows:

Question 7 of 45

8. The set of numbers between but not including 3 and 7 can be written as follows:

Question 8 of 45

9. The set of numbers between and including -3 and 12 can be written as follows:

Question 9 of 45

10. The set of numbers between and including 3 and 7 can be written as follows:

Question 10 of 45

11. Use properties of real numbers to write the expression without parentheses. Do not use any spaces in your answer.

2(x-4)

Question 11 of 45

12. Use properties of real numbers to write the expression without parentheses. Do not use any spaces in your answer.

(3c)(c+2d-5f)

Question 12 of 45

13. Use properties of real numbers to write the expression without parentheses. Simplify your result

\frac{2}{3}(6x+5)

Question 13 of 45

14. Perform the indicated operation:

4\left(\frac{3}{8}+\frac{1}{2}\right)

Question 14 of 45

15. Perform the indicated operations:

\dfrac{\frac{2}{5}+\frac{1}{2}}{\frac{1}{10}+\frac{3}{15}}

Question 15 of 45

16. Perform the indicated operations:

\left(\frac{1}{2}+\frac{1}{4}\right)\left(\frac{1}{2}-\frac{1}{4}\right)

Question 16 of 45

17. Perform the indicated operations:

\left(\frac{2}{3}+\frac{1}{9}\right)\left(2-\frac{1}{5}\right)

Question 17 of 45

18. Select the correct symbol from the dropdown menu to make a true statement

\frac{3}{5} 0.5

Question 18 of 45

19. Place the correct symbol in the space to make a true statement

\frac{2}{3} 0.67

Question 19 of 45

20. Place the correct symbol in the space to make a true statement

-\frac{3}{4} -\frac{1}{2}

Question 20 of 45

21. Place the correct symbol in the space to make a true statement

-2 -5

Question 21 of 45

22. State whether the inequality is true or false.

\frac{4}{5}<\frac{2}{3}

Question 22 of 45

23. State whether the inequality is true or false.

\sqrt{3}>1.6

Question 23 of 45

24. State whether the inequality is true or false.

\sqrt{5}>\frac{5}{2}

Question 24 of 45

25. State whether the inequality is true or false.

7\le7

Question 25 of 45

26. State whether the inequality is true or false.

-\pi>-3.2

Question 26 of 45

27. State whether the inequality is true or false.

3.\overline{35}>3.3\overline{5}

Question 27 of 45

28. For the indicated sets, find A\cap B:

A=\{5,10,15,20,25\}, \ \ \ \ \ B=\{4,8,10,12,20\}

Question 28 of 45

29. For the indicated sets, find A\cup B:

A=\{5,10,15,20,25\}, \ \ \ \ \ B=\{4,8,10,12,20\}

Question 29 of 45

30. For the indicated sets, find A\cup B:

A=\{2,3,4,8,9,12,15\}, \ \ \ \ \ B=\{2,3,5,8,12,20\}

Question 30 of 45

31. For the indicated sets, find A\cap B:

A=\{2,3,4,8,9,12,15\}, \ \ \ \ \ B=\{2,3,5,8,12,20\}

Question 31 of 45

32. For the indicated sets, find A\cup B \cup C:

A=\{1,2,3,4\},\ \ \ \ \ B=\{4,5,6,8\},\ \ \ \ \ C=\{2,3,4,10\}

Question 32 of 45

33. For the indicated sets, find A\cap B \cap C:

A=\{1,2,3,4\},\ \ \ \ \ B=\{4,5,6,8\},\ \ \ \ \ C=\{2,3,4,10\}

Question 33 of 45

34. Find A\cup B if:

A=\{x|x\ge5\}, \ \ \ \ B=\{x|x<20\}

Question 34 of 45

35. Find A\cap B if:

A=\{x|x\ge5\}, \ \ \ \ B=\{x|x<20\}

Question 35 of 45

36. Find A\cup B if:

A=\{x|x>12\}, \ \ \ \ B=\{x|x<-18\}

Question 36 of 45

37. Find A\cap B if:

A=\{x|x>12\}, \ \ \  B=\{x|x<-18\}

Question 37 of 45

38. Express the set in interval notation

Rendered by QuickLaTeX.com

Question 38 of 45

39. Express the set in interval notation

Rendered by QuickLaTeX.com

Question 39 of 45

40. Express the set in interval notation

Rendered by QuickLaTeX.com

Question 40 of 45

41. Express the set in interval notation

Rendered by QuickLaTeX.com

Question 41 of 45

42. Evaluate:

\left|-\sqrt{25} \right|

Question 42 of 45

43. Evaluate:

\left| 8-\left|-8\right|\right|

Question 43 of 45

44. Evaluate:

\left|3-\left|-10\right|\right|

Question 44 of 45

45. Evaluate:

5-\left|2-10\right|

Question 45 of 45