Comprehensive Quiz ANSWERS

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Comprehensive Quiz ANSWERS

100 points total:  32 @ 3 points (4 points completion)

REDUCE ALL FRACTIONS

Name:                                                                                                             Due Date:  Monday Week 5

Problem

Answer

(show work for possible credit)

 

1.

The bag of marbles contains 1/3 blue, 1/4 red, 1/6 green and the rest are purple.  What fraction of the bag is purple?

 

 

 

2.

Order the decimals from least to greatest:

 

- 4. 99; 3.76; - 5; 3.7; -5.1; 3.06

 



3.

Assessment 7-4B #15

Write the square root in the form
   where a and b are integers and b has the least value possible:

 

 

4.

A student who is 5 feet tall casts a shadow that is 3 feet long. If a tree casts a shadow at the same time next to the student that is 55 feet long, how tall is the tree? (round answer to tenths)

 

 

 

 

 

5.

Tabitha bought two skirts that were originally marked at $50 each.  One skirt was discounted 25% and the other was discounted 15%.  The sales tax was 8.3%.  How much did she spend in all?

 

 

    


 


6.

Are parenthesis needed to make the equation true?  If so, place the parenthesis in the necessary place.

 

9 + 6 ¸ 3 – 1 x 5 = 0

 

 

7.

Joshua saved $4840 in 3 years. If he saved $75 per month in the first year and a fixed amount per month for the next 2 years, how much did he save per month during the last 2 years?

 

 

8 & 9.

Find all integers x, if there are any, such that the following

are true:

a. – x – 2 is positive

b. |x| = – 8

 

10.

Show that the distributive property of multiplication over addition, a(b + c) = ab + ac, is true for each of the following values of a, b, and c:

 

a) a = -4 , b = 6 , c = - 2

 

 

 

11 - 14.

Compute each of the following:

a) (- 7) 2

b) -72

c) -42 + 2(-5)2

d) -33

 

   


 

15.

Must show work for credit

Without using a calculator, test the following

number for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11:

 

4150

 

16.

Find the prime factorizations of the following:

 

84

 

17.

The garden club wants to plant tulips and crocuses.  The tulips are to be planted in rows of 20 and the crocuses in rows of 85.  If the club has the same number of tulips as crocuses, what is the smallest number that will need to be planted?

 

 

 

18.

Mrs. Jones has 36 pencils, 52 erasers and 20 tablets.  What is the greatest common factor she can use to divide the school supplies into equal groups?

 

 

19 - 22.

Write 3284 in Babylonian, Mayan, Egyptian and Roman numeration systems.

 

. 4& n.. con-1B p. 765 # 4       n

 10 points completion

23.

Write the first 10 counting numbers for the following base:

 

base six

 



 

24 - 27.

Answer the following questions using the following sets:

 

U = {whole numbers up to 15, inclusive}

A = {1, 3, 5, 7, 9, 11, 13, 15}

B = {2, 4, 6, 8, 10, 12, 14}

 

C = {1, 2, 3, 4, 5}

D = {  }

E = {12, 13, 14, 15}

True or False (justify your answer/show work)

a) A Í B

 

b) A Ç B = D

 

c) A Í U

 

d) B È A = U

 

28.

In the following, write an expression in terms of the

given variables that represents the indicated quantity:

Use variable given.  Simplify expression. Give answer as expression not equation.

 

The cost of a taxi that charges $3 plus 10 cents per minute, m.

 

 

29.

How many posts does it take to support a fence around a square field measuring 200 yards on a side if posts are placed every 20 yards?

 

 

30.

Consider two function machines that are placed as shown. Find the final output for the input,  a .  In other words, find (g°f)(x) when x = a.

 

 

 

 
 

 

 

 

 

 

 

 

 

 

 

 

 


(g°f)(x)

 

 

 

& 54 use the following drawing imple

riate box.


31.

What is the next number in this sequence: 1, 4, 10, 19, 31, … ?

 

 

32.

Find the third, fourth, and fifth terms in the sequence if

 

a1 = 2, a2 = 4, and an = 2an-1 - 3an-2.

 

 

 

    

 

 


 

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