Algebraic Formula Class 7
Algebra helps to represent problems in the form of mathematical expressions. It consists of variables, constants, and mathematical operations that together form an expression. Learning algebraic formulas for class 7 is important for students because it helps in solving various problems. To help them ease out the learning process and make algebra interesting, this article gives a compiled list of algebraic formula Class 7, their applications and some quick tips to remember them.
List of Algebraic Formula Class 7
A brief list of the basic formulas that are used in Algebra in Class 7 are given below.
- (a + b)2 = a2 + 2ab + b2
- (a - b)3 = a3 - b3 - 3ab(a - b)
- (a - b)2 = a2 - 2ab + b2
- (a + b)(a - b) = a2 - b2
Applications of Algebraic Formula Class 7
Algebra is used in all the sections of mathematics like trigonometry, calculus, coordinate geometry. Apart from these, it is used in our everyday life. A few applications of algebraic formulas are given below.
- Algebraic expressions are used to write formulas in mathematics. For example, the formula for the area of a rectangle can be expressed as l × b where ‘l’ is the rectangle's length and ‘b’ is its breadth.
- Algebraic formulas are used to solve word problems related to multiple topics like average, distance, unitary method.
- Algebra can be used to estimate our daily schedule every day to measure the time that we would spend in brushing our teeth, taking a shower, having breakfast, and going to school or work.
Tips to Memorize Algebraic Formulas Class 7
There are many ways in which we can memorize algebraic formulas easily. The following tips can help the students to learn their algebraic formulas quickly for effective learning.
- Try to relate the formulas to a story or weave a story around the formulas and concepts. This will make the subject interesting and one will be able to recall the basics in the form of a story easily.
- The students must try to study with their friends, this will help in sharing of ideas as well as instant clarification of doubts.
- Students can learn the algebraic formulas class 7 by taking help of their smartphones and laptops too. They can download the formula images from the internet and can set them as their screensavers. This will ensure they can have their revision whenever they use their device.
Algebraic Formulas Class 7 Examples
Example 1: Add all the like terms and simplify the expression: 6m2 - 8m + 2m - 2m2 - 3m + 5
Solution : To solve this, we need to rearrange the terms,
6m2 - 8m + 2m - 2m2 - 3m + 5
= 6m2 - 2m2 - 8m + 2m - 3m + 5
= 4m2 - 9m + 5
Example 2: John’s mother is three times as old as John. If John's mother is 39 years old, find John's age.
Solution:
Let John's age be x.
John’s mother's age 3x = 39
x = 39/3 = 13.
Therefore, John’s age = 13.
Students can download the printable Maths Formulas Class 7 sheet from below:
FAQs on Algebraic Formulas Class 7
What are the Important Algebraic Formulas Class 7?
A brief list of the important algebraic formulas for class 7 is given below:
- (a + b)2 = a2 + 2ab + b2
- (a - b)3 = a3 - b3 - 3ab(a - b)
- (a - b)2 = a2 - 2ab + b2
- (a + b) (a - b) = a2 - b2
What are the Basic Algebraic Formulas Class 7?
The basic algebraic formulas class 7 cover the concepts of variables, constants, and simplifying algebraic expressions by collecting like and unlike terms separately and adding them up. An unknown quantity can also be calculated by framing the word problem into an algebraic equation. There are other formulas which can be used to solve problems like (a + b) (a - b) = a2 - b2 , (a + b)2 = a2 + 2ab + b2 and so on.
How Many Formulas are there in algebraic formulas class 7?
Algebraic formulas class 7 cover four important formulas as given below. These formulas help in factorization of algebraic expressions as well as easing out the complex equations.
- (a - b) 2 = a2 - 2ab + b2
- (a + b) (a - b) = a2 - b2
- (a + b)2 = a2 + 2ab + b2
- (a - b)3 = a3 - b3 - 3ab(a - b)
How can I Memorize algebraic formulas class 7?
Considering the importance of algebra it becomes essential that the students are clear with the basic concepts and algebraic formulas class 7. Hence, the following tips can help them memorize these formulas in an effective manner :
- Stories are easy to remember. Hence, the students can try to relate the basic concepts and algebraic formulas to some story or make a story of their own. This helps in recalling the concepts and formulas quickly.
- Students must make an attempt to study along with their friends as this will allow them to share ideas and get immediate answers to all their doubts. Once the logic behind the formulas is clear, memorizing them is not difficult.
- Students can also use their smartphones and laptops to master algebraic formula class 7. They can use the formula images as screensavers by downloading them from the internet. Thus, they will be able to revise them whenever they use their smartphone or laptop.