# MAT 126 Week 1 Quiz

**This document MAT 126 Week 1 Quiz contains solutions on these questions:**

1. In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?

2. Find the general term of the set. {8, 12, 16, 20, 24, . . .}

3. Let U = {5, 10, 15, 20, 25, 30, 35, 40}

4. Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?

5. Write the set using set-builder notation: {natural numbers greater than 11}.

6. Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7, 8, 9}

7.Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A ? B.

8. Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 7 8 10 13 17 22 28 ____

9. The process of arriving at a general conclusion based on the observation of specific examples is called ___________

10. Which statement is false?

11. Phil has 15 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.85 how many $0.37 stamps does Phil have?

12. Which of the following expressions finishes the equation to demonstrate the associative property of addition?

13. Which sentence is not a statement?

14. Which of the following phrases does not describe the number -??

15.Find the general term of the set. {2, 4, 6, 8, 10, . . .}

16. The process of arriving at a specific conclusion based on previously accepted general statements is called ___________ reasoning.

17. In a group of 37 children, 14 had a dog, 20 had a cat, and 12 had both a dog and a cat. How many children had neither a dog nor a cat as a pet?

18. The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.

19. State whether the following sequence is arithmetic, geometric, or neither. 0, 1, 4, 9, 16, 25, 36, ....

20. Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16 ____