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1. Question : 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?

2. Question : Which property of real numbers does the following equation demonstrate? 4(x – 7) = 4x – 28

3. Question : 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 ____

4. Question :

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.

5. Question : Which of the following expressions finishes the equation to demonstrate the associative property of addition?

(3+8)+5=

6. Question : 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?

7. Question : 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?

8. Question : A car travels 359 miles on 6.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

9. Question :

Round to the nearest hundred. 3,653

10. Question :

Which statement is false?

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

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

13. Question : 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 offpeak time as opposed to peak time. Round to the nearest hundreth.

14. Question : State whether the following sequence is arithmetic, geometric, or neither. 10, 10.25, 10.50625, 10.76890625, ....

15. Question : State whether the following sequence is arithmetic, geometric, or neither. 4, 15, 26, 37, 48, 59, .....

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

17. Question :

Which set is infinite?

18. Question :

Which set is finite?

19. Question : 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 none of the three writing instruments?

20. Question : 8, 10, . . .}

Find the general term of the set. {2, 4, 6,

Mat 126 week 1 quiz

MAT 126 Week 1 Quiz MAT 126 Week 1 Written Assignment (Arithmetic and geometric sequence) MAT 126 Week 1 DQ 1 MAT 126 Week 2 DQ 1 MAT 126 We...

Mat 126 week 1 quiz

MAT 126 Week 1 Quiz MAT 126 Week 1 Written Assignment (Arithmetic and geometric sequence) MAT 126 Week 1 DQ 1 MAT 126 Week 2 DQ 1 MAT 126 We...