Comprehensive Quiz

1. List the terms that complete a possible pattern in each of the following:

(a) 47, 87, 67, 107, 87,____,____,____

(b) 2, 10, 50, 250, 1250,____,____,____

(c) 8, 15, 22, 29, 36,____,____,____

(d) 4, 0, 8, 0, 16, 0,____,____,____

(e) 5, 9, 13, 17, 21,____,____,____

2. The relationship described below can be modeled using an equation. Identify the variables and write an equation to solve the questions below.

(a) Write an equation to calculate the fees F when the number of credits n is given?

(b) Use this equation from part (a) to calculate the fee for 17 credits.

3. Classify each of the following as true or false. If false, tell why or give an example showing that it is not true.

4. For each of the following, identify the whole-number properties that are illustrated.

(a) 2(3 + 4) = 2(4 + 3)

(b) 5 + 7 = 7 + 5

(c) 1 • 14 = 14 = 14 • 1

(d) 5(9 + 3) = 5 • 9 + 5 • 3

(e) 2 + (3 + 2) = (2 + 3) + 2

(f) 5(3 • 4) = (5 • 3)4

5. Find the missing numbers in each of the following:

6. If 10 is removed from the set of whole numbers, is the set closed with respect to addition? Explain why or why not.

7. Paul’s operating expenses for driving a car are $40 per week. If his expenses for driving a motorcycle for 52 weeks are $1650, how much did he save for the 52-week period?

8. Factor each of the following expressions.
(a) 9×2 3x
(b) 4×29

9. Classify each of the following as true or false. If false, tell why.
(a) If x >2 then x > 2.
(b) If 3x = 6 then 6x = 12.
(c) is always equal to x.
(d) a2 – b2 = (a b)(a b)

10. Find each of the following.
(a) GCD(156, 84, 292) (b) LCM(156, 84, 292)

11. Reduce each of the following rational numbers to simplest form.

12. A 46 5/16 lb bag of nuts is packaged in 1 ¾ lb containers. The remaining nuts are given to the person packing the nuts. How much does the person get? Justify your answer.

13. If the ratio of boys to girls in a class is 3 to 8, will the ratio of boys to girls stay the same, become greater, or become lesser if 2 boys and 2 girls leave the class? Justify your answer.

14. For which values of k can k/240 be written as a terminating decimal? Explain your reasoning.

15. Use fractions to justify the algorithm for the subtraction in the following. 23.6 – 8.34

16. A sale at Carney’s Electronics offers a specific model of Sony radio at 20% off the regular price. If the sale price of the radios is $45, what is the regular price?

17. Grant counted 277 distinct beluga whales in the St. Lawrence Seaway in one week. The following week he counted 343 distinct belugas. What was the percent (round to the nearest one hundredth of a percent) of increase in the whales counted?