MODEL POLYNOMIALS WITH ALGEBRA TILES
About "Model polynomials with algebra tiles"
Model polynomials with algebra tiles :
In this section, we are going to see, how polynomials can be modeled using algebra tiles.
By learning this topic, we can easily combine like terms of two or more polynomials without making mistakes.
Example 1 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in -x² = 6
Number of tiles in x = 10
Number of tiles in -1 = 2
Framing a equation by using the above information, we get
-6x² + 10x - 2
Example 2 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in x² = 3
Number of tiles in x = 1
Number of tiles in -1 = 7
Framing a equation by using the above information, we get
3x² + 1x - 7
Example 3 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in -x² = 1
Number of tiles in 1 = 3
Framing a equation by using the above information, we get
-1x² + 3
Example 4 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in -x² = 2
Number of tiles in -x = 2
Number of tiles in 1 = 1
Framing a equation by using the above information, we get
-2x² - 2x + 1
Example 5 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in x² = 3
Number of tiles in x = 1
Number of tiles in -1 = 4
Framing a equation by using the above information, we get
3x² + 1x - 4
Example 6 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in x = 8
Number of tiles in -1 = 3
Framing a equation by using the above information, we get
8x - 3
Example 7 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in x² = 7
Number of tiles in -x = 9
Number of tiles in 1 = 10
Framing a equation by using the above information, we get
7x² - 9x + 10
Example 8 :
What expression does this set of algebra tiles represent?
Solution :
Now we have to count the similar number of tiles and write the number of tiles in each category .
Number of tiles in -x² = 9
Number of tiles in -x = 7
Framing a equation by using the above information, we get
-9x² - 7x
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