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Working with Alge-Tiles Brackets
3(x+4)
Step1 :
Express whatever is in the bracket using
Alge-tils
Step2 :
Express whatever you had in step 1,
three times
(because this 3 is being multiplied by the bracket)
Step3 :
Simplify
3x+12
Working with Alge-Tiles (Equations)- One Step
Step 1:
Use Alge-Tiles to represent the
equation.
Step 2:
To isolate the x-tiles, Use an
appropriate number of negative
(red) ones tiles
Step 3:
Interpret your tiles. Write the value of x.
X=4
Working with Alge-Tiles (Equations)- Multi-step
Step 1:
Use Alge-Tiles to solve.
Step 2:
Use a flow chart to solve.
Step 3:
Check your solution.
Ex.
Step 1:
2x-3=1
· Isolate the x-terms
· Keep the equation balanced
· Remove zero pairs
· Simplify
Step 2:
2x-3=1
Start with x à multiply by 2 – Subtract 3àresult is 1
GO BACK WARDS DOING THE OPPOSITE!
Start with 1à add 3àdivide 2àx=2
Step 3:
Check your solution by substituting it back into the equation.
Left Side (L.S) Right Side (R.S)
= 2x – 3 = 1
=2(2) – 3
= 4 – 3
=1 L.S=R.S
Algebraic word Problems
Ex.
Ms. Akber is 5 years older than Jared. Find an expression for each of their ages.
There are two ways we can do this:
1. Express Ms, Akber’s age in thermos of Jared’s age.
2. Express Jared’s age in terms of Ms. Akber’s age.
*Trick à You use only one variable*
-Ex. 7xß Variable
Let Jared’s age be j.
Let Ms. Akber’s age be j+5.