MODEL AND SOLVE EQUATIONS USING ALGEBRA TILES
About "Model and solve equations using algebra tiles"
Model and solve equations using algebra tiles :
Here we are going to see how to model and solve the given equations using algebra tiles.
Tiles used to model the given equation
How to model and solve the given equations using algebra tiles ?
Step 1 :
First we have to model the given equation using the above tiles.
Step 2 :
Solve means finding the value of the variable. For that we need to isolate the variable.
In case we have three yellow tiles added with x terms on the left side, we need to use three red tiles to strike out those tiles.
Model and solve equations using algebra tiles - Examples
Example 1 :
Model and solve the given equation using algebra tiles
2x + 2 = 10
Solution :
To model the above equation, we need to use two green rectangle tiles, two yellow tiles on the left side.
Ten yellow tiles on the right side.
In order to cancel two yellow square tiles on the left side, we need to use two red square tiles on both sides.
In the left side, we have two x tiles, so we have to arrange the right side tiles in two rows with same number of tiles appearing on each row.
Hence the value of x is 6.
Example 2 :
Model and solve the given equation using algebra tiles
2x + 2 = 6
Solution :
To model the above equation, we need to use two green rectangle tiles, two yellow tiles on the left side.
Six yellow tiles on the right side.
In order to cancel two yellow square tiles on the left side, we need to use two red square tiles on both sides.
In the left side, we have two x tiles, so we have to arrange the right side tiles in two rows with same number of tiles appearing on each row.
Hence the value of x is 2.
Example 3 :
Model and solve the given equation using algebra tiles
x - 2 = 8
Solution :
To model the above equation, we need to use one green rectangle tile, two red tiles on the left side.
Eight yellow tiles on the right side.
In order to cancel two red square tiles on the left side, we need to use two yellow square tiles on both sides.
In the left side, we have one x tile, so we have to arrange the right side tiles.
There are 5 tiles in each row, total number of rows are 2.The total number tiles are 10.
Hence the value of x is 10.
We hope that the students would have understood the stuff given on "Model and solve equations using algebra tiles"
Apart from the stuff given above, if you want to know more about "Model and solve equations using algebra tiles", please click here.
If you need any other stuff, 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
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6
