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
After having gone through the stuff given above, we hope that the students would have understood "Model polynomials with algebra tiles".
Apart from the stuff given above, if you want to know more about "Model polynomials with algebra tiles", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits