7th Maths : Term 3 Unit 3 : Algebra : Summary

**Summary**

● The following identities are proved
geometrically:

* *(x + a)(x +b) **=** x ^{2} *

* (*a* +
*b*)^{2} =*a*^{2} + 2*ab* +*b*^{2}

* (*a* −
*b*)^{2} =*a*^{2} − 2*ab* +*b*^{2} and

* *(a +b)(a − b) **=** a ^{2} *

● The factors of an algebraic expression
is two or more expressions whose product is the given expression.

● The process of writing an algebraic
expression as the product of its factors is called factorisation.

● An algebraic statement that shows two
algebraic expression being unequal is known as an algebraic inequation.

● The algebraic expressions are connected
with any one of the four signs of inequalities, namely, >,
≥
,<
and ≤.

● When both sides of an inequation are
added, subtracted, multiplied and divided by the same non-zero positive number, the
inequality remains the same.

● When both sides of an inequation are
multiplied or divided by the same non-zero negative number, the sign of inequality
is reversed. For example, *x* < *y* ⇒
−*x* >−*y* .

●
The solutions of an inequation can be represented on the number line by marking the
true values of solutions with different colour on the number line.

** **

__ICT Corner__

**Algebra**

**Expected
outcome**

**Step – 1**

Open the Browser and type the URL Link
given below (or) Scan the QR Code. GeoGebra work sheet named “(x+a)(x+b)” will open.
Drag the sliders to change x, a, b values. Check the steps on right side.

**Step - 2**

After completing Click on “Inequation”
in the left side. Move the slider below to change “a” value.Click on the check boxes
to see respective inequations on the number line.

**Browse in the link**

(x+a)(x+b):
https://www.geogebra.org/m/f4w7csup#material/nguv3yey
or Scan the QR Code.

Tags : Algebra | Term 3 Chapter 3 | 7th Maths , 7th Maths : Term 3 Unit 3 : Algebra

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7th Maths : Term 3 Unit 3 : Algebra : Summary | Algebra | Term 3 Chapter 3 | 7th Maths

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