Basic Mathematics for College Students

(Nandana) #1

 


Fill in the blanks.



  1. If the cross products of a proportion are equal, the
    proportion is. If the cross products are not
    equal,the proportion is.

  2. The proportion will be true if the product
    is equal to the product.

  3. Complete the cross products.

  4. In the equation , to undo the
    multiplication by 6 and isolate x, both sides
    of the equation by 6.

  5. Label the missing units in the proportion.

  6. Consider the following problem:For every 15 feet of
    chain link fencing, 4 support posts are used. How
    many support posts will be needed for 300 feet of
    chain link fencing?Which of the proportions below
    could be used to solve this problem?


i. ii.

iii. iv.

Complete each solution.



  1. Solve the proportion:


The solution is.


  1. Solve the proportion:


The solution is.

x

245





x 49

x 49

14  x 49

14


x




49


17.5


x

18





3 x

 3 x

2  9 


2


3





x
9

NOTATION


4


15





x
300

4


15





300


x

15


4





x
300

15


4





300


x

 Children

12 


100





3


 25


Teacher’s aides 

6 x 2  12

9


2





45


10


 10  2  


 10  4


2
5 

4
10

CONCEPTS


Write each statement as a proportion.See Example 1.


  1. 20 is to 30 as 2 is to 3.

  2. 9 is to 36 as 1 is to 4.

  3. 400 sheets is to 100 beds as 4 sheets is to
    1 bed.

  4. 50 shovels is to 125 laborers as 2 shovels is to
    5 laborers.


Determine whether each proportion is true or false by
simplifying.See Example 2.















Determine whether each proportion is true or false by finding
cross products.See Example 3.















Determine whether each proportion is true or false by finding
cross products.See Example 4.



























Determine whether the numbers are proportional.
See Example 5.


  1. 18, 54 and 3, 9 38. 4, 3 and 12, 9

  2. 8, 6 and 21, 16 40. 15, 7 and 13, 6


11


1


4


2


1


2





3


4


1


6


1


5


1


1


6





1


1


7


11


2


3


2


1


2


1


1


5





3


3


4


2


9


10


1


4


5


3


3


7





2


3


16


4


1


6


3.2


4.5





1.6


2.7


1.2


3.6





1.8


5.4


0.6


1.4





0.9


2.1


0.5


0.8





1.1


1.3


40


29





29


22


9


19





38


80


6


27





4


18


4


32





2


16


42


38





95


60


21


14





18


12


2


5





8


20


7


9





70


81


GUIDED PRACTICE


5.2 Proportions 439
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