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Lesson 9.3: Exploring Possible Values



 1. 

Austen has a jar full of $2 coins and $5 bills. He created this table to determine which combination of the coins and bills will have a total of $100.

Number of $2 coins
Number of $5 bills
Total $100
0
20
100
50
K
100
L
16
100
15
M
100
N
8
$100

Select the correct answer for K in the table.
a.
10
b.
0
c.
12
d.
7
 

 2. 

Select the correct answer for L in the table.
a.
20
b.
17
c.
13
d.
10
 

 3. 

Select the correct answer for M in the table.
a.
14
b.
8
c.
17
d.
10
 

 4. 

Select the correct answer for N in the table.
a.
22
b.
6
c.
30
d.
18
 

 5. 

Which equation can be used to represent the combination of $2 coins and $5 bills that total $100? In each equation, t represents the number of $2 coins and f represents the number of $5 bills.
a.
2t + 5f = 100
b.
2t + 100 = 5f
c.
2f + 5t = 100
d.
100 + 5t = 2f
 

 6. 

Austen used his table of values and the equation to create this graph.

                mc006-1.jpg
Use the graph to determine the number of $5 bills needed with 20 $2 coins.
a.
6
b.
12
c.
18
d.
1
 

 7. 

Use the graph in question 6 to determine the number of $2 coins needed with 10 $5 bills.
a.
16
b.
32
c.
25
d.
12
 

 8. 

Lynda is collecting tokens from cereal boxes: yellow triangles and blue pentagons.

                              mc008-1.jpg       mc008-2.jpg

Each token is worth a certain number of points. The cereal boxes list clues to help Lynda determine how many points each token is worth.

Clue 1: 2 yellow triangles and 3 blue pentagons are worth 53 points.
           mc008-3.jpg  mc008-4.jpg  mc008-5.jpg   mc008-6.jpg   mc008-7.jpg     53 points

Clue 2: 4 yellow triangles and 5 blue pentagons are worth 93 points
         mc008-8.jpg   mc008-9.jpg    mc008-10.jpg    mc008-11.jpg    mc008-12.jpg    mc008-13.jpg    mc008-14.jpg    mc008-15.jpg  mc008-16.jpg  93 points

Clue 3: 5 yellow triangles and 2 blue pentagons are worth 61 points
          mc008-17.jpg   mc008-18.jpg   mc008-19.jpg   mc008-20.jpg   mc008-21.jpg    mc008-22.jpg    mc008-23.jpg    61 points

Clue 4: If you add the tokens and multiply by 4, the sum is 80 points.

          mc008-24.jpg    mc008-25.jpg   mc008-26.jpg  mc008-27.jpg  80 points

Once Lynda collects enough tokens worth 1000 points, she can send them in to win a digital camera.

How many points is the yellow triangle worth?
a.
7 points
b.
10 points
c.
4 points
d.
1 point
 

 9. 

How many points is the blue pentagon worth?
a.
10 points
b.
7 points
c.
13 points
d.
12 points
 

 10. 

How many yellow triangles and blue pentagons does Lynda need to total 1000 points?
a.
30 yellow triangles and 43 blue pentagons
b.
50 yellow triangles and 50 blue pentagons
c.
40 yellow triangles and 20 blue pentagons
d.
72 yellow triangles and 27 blue pentagons
 



 
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