What You Should Know Before Learning Class 7 Algebra

Before learning the algebra concepts for class 7, it is recommended that you know about the basic things taught in class 6. Class 6 algebra includes

Variables

Constants

Coefficients

Operations 

Here you can learn about the basic concepts of algebra for class 6.

  Basic Concepts of Algebra for Class 7

We will discuss some conceptual things for the basic concepts of algebra for class 7. Let’s start with like and unlike terms.

Like Terms

The terms that have the same variables are called like terms. For example 2x, 4x, 6x

Unlike Terms

The terms that have different variables are called the unlike terms. For example, 2x, 5y, 6z

What is an Algebraic Expression?

An expression is a mathematical expression that contains different algebraic terms like variables, constants, and coefficients, and operations, etc.

For example, 2x – 5y + 6z

The algebraic expression does not contain the equal sign.

Types of Algebraic Expressions

Here are some types of algebraic expressions we will discuss. 

1. Monomial Expression

An expression that contains only one term is called a monomial expression.

For example, 2x and 6y 

2. Binomial Expression

An expression that contains two terms is called a binomial expression.

For example, 2x + 4y 

3. Trinomial Expression

An expression that contains three terms is called a trinomial expression.

For example, 2x + 5y – 6z

4. Polynomial Expression

An expression that contains more than three terms is called a polynomial expression.  

For example, 2x + 6y – 4z + 6

What is an Algebraic Equation?

An equation in which two algebraic expressions are equal is called an algebraic equation.

For example 2x – 6y = 3x – 6

Types of Algebraic Equations

1. Linear Equation

An equation in which the highest power of the variable is 1 is called a linear equation.

For example, 2x = 5

2. Quadratic Equation

An equation in which the highest power of the variable is 2 is called a quadratic equation.

For example, 2x² – 5 = 6 

3. Cubic Equation

An equation in which the highest power of the variable is 3 is called a cubic equation.

For example, 2x³ + 4x² – 5x = 4

4. Polynomial Equation

An equation in which the highest power of the variable is more than 3 is called a polynomial equation.

For example, 2x⁴ + 2x³ + 4x² – 5x = 4

Difference Between an Algebraic Expression and an Algebraic Equation

Algebraic Expression	Algebraic Equation
Does not contain an equal sign (=).	Always contains an equal sign (=).
Cannot be solved.	It can be solved to find the value of the variable.
Example: 3x + 5	Example: 3x + 5 = 11

Related Topics

Here are some topics that will help you get more information about basic concepts of algebra for class 7. 

Algebraic Expressions

Algebraic Equations

Class-wise Algebra

Algebraic Formulas

You can also visit Algebra on Wikipedia.

Algebra Problems for Class 7 with Answers

Q1. Identify the like and unlike terms

4x, -2x, 7y, 5x, 9

Solution: 

Like Terms: 4x, 5x, -2x

Unlike Terms: 7y, 9

Q2. Identify the basic key terms of algebra, 5x + 3y – 7 

Solution: 

Variables: x, y

Constants: -7

Coefficients: 5, 3

Q3. Simplify 4x + 6x – 3x 

Solution:

= 4x + 6x – 3x 

= 10x – 3x

= 7x

Q4. Simplify  (3x + 6) + (4x – 7) 

Solution:

= (3x + 6) + (4x – 7) 

= 3x + 6 + 4x – 7

= 7x – 1

Q5. Simplify (8x + 6) – (3x + 6) 

Solution: 

= (8x + 6) – (3x + 6) 

= 8x + 6 – 3x – 6

= 5x

Q6. Simplify 4(3x + 5)

Solution:

= 4(3x + 5)

= 12x + 20

Q7. Simplify 3x × 6x

Solution: 

= 3x × 6x

= 18x²

Q8. Find the value of 2x + 8 when x = 4.

Solution:

= 2x + 8

Put the value of x = 4

= 2(4) + 8

= 8 + 8

= 16

Q9. Write an equation for: “A number decreased by 8 is 20.”

Solution:

The equation will be 

x – 8 = 20

Q10. Solve x + 8 = 18

Solution: 

x + 8 = 18

x = 18 – 8

x = 10

Q11. Solve 4x = 44

Solution:

4x = 44

x = 44 / 4

x = 11

Q12. Solve 3x + 6 = 27

Solution:

3x + 6 = 27

3x + 6 – 6 = 27 – 6

3x = 21

x = 21 / 3

x = 7

Q13. Solve 4x² – 8 = 28

Solution:

4x² – 8 = 28

4x² – 8 + 8 = 28 + 8

4x² = 36

x² = 36 / 4

x² = 9

By taking the square root of both sides

x =  ±3

Q14. solve x³ = 27

Solution:

x³ = 27

By taking the cube root on both sides

x = 3

Q15. Ali has some books. After buying 8 more books, he has 25 books. How many books did he have before?

Solution:

Let he has x books. According to the condition

x + 8 = 25

x + 8 – 8 = 25 – 8

x = 17

He had 17 books in the beginning.

Practice Questions

Q1. Simplify 4y + 6y – 3

Q2. Simplify (18x + 6) – (13x + 16) 

Q3. Simplify 4(2x + 15)

Q4. Solve 4x² + 8 = 24

Q5. Write an equation for: “A number multiplied by 8 is 40.”

Answers

Q1. 10y – 3

Q2. 5x – 10

Q3. 8x + 60

Q4. x = ±2

Q5. 8x = 40

FAQs

Q1: Why is Algebra important in Class 7?

Your journey of Algebra starts from Class 7 itself. Success in the next fields is possible only if the basics of Algebra are strong.

Q2: What are some key topics in Algebra for Class 7?

Answer: The main topics include the basic concepts of algebra for class 7:

• Understanding variables and constants
• Simplifying expressions
• Solving linear equations
• Applying algebraic identities

Q3: Can Algebra for Class 7 help in real life?

Answer: Yes! Algebra is used in budgeting, measurements, speed-time-distance problems, and logical decision-making.

Conclusion

In this article, we have learned about the basic concepts of algebra for class 7, expressions and their types, as well as equations and their types. We have also solved the algebra problems for class 7, and given practice questions for class 7 with answers. After this article, any student of class 7 can solve the algebra questions easily.