**1. What is the importance of algebra?**

**Answer: ** Algebra is a crucial branch of mathematics. With the help of algebra, we can generalize any equation, which makes calculation easier. Using algebra, we can visualize an equation on a graph. The concepts of constants and variables are used in computer programming. We can also use it to solve computer-based games and puzzles. We use basic algebra in our everyday life to solve problems.

**2. What is the name of the father of algebra?**

**Persian mathematician Muhammad ibn Musa al-Khwarizmi is known as the father of algebra.** In his book Kitab Al-Jabr, he discusses algebra. Khwarizmi was one of the most renowned intellectuals of Bayt-al-Hikma, which dominated Baghdad's intellectual world. Apart from developing the concept of an algorithm in mathematics, he is also considered being the grandfather of computer science.

**3. What are algebraic letters called?**

**Answer:** In algebra, letters, called **variables,** are used to represent specific numbers. **Algebraic variables **can represent the unknown, the value being solved for, or known values.

**4. Name the four basic properties of algebra?**

**Answer:** Numbers have four basic properties: commutative, associative, distributive, and identity. As you progress through advanced math, such as algebra and calculus, it becomes increasingly important to understand these properties.

**5. Can you tell me how many algebraic rules there are?**

**Answer:** The three most commonly discussed laws are commutative, associative, and distributive. It is discovered that no matter what the order of numbers is when you add or multiply, the result will be the same.

**6. The cadets are marching in a parade. Five cadets are lined up in a row. How can you calculate the number of cadets given in the number of rows?**

**Answer:** Rows = n

The number of cadets in each row is 5

**Thus, the total number of cadets is 5n.**

**7. Siddharth's score in mathematics is 15 more than two-fourths of his score in science. If he scores x marks in science, find his score in mathematics?**

**Solution:**

Let us assume the score of science is x.

It is given that Siddharth’s score in mathematics is 2/4 th of x + 15

Siddharth's score in mathematics is 2/4 x + 15.

**8. Anita and Manju are cousins. Anita is 8 years younger than Manju. Can you write about Anita’s age in terms of Manju’s age? **

**Answer:**

Let’s take Manju’s age to be x years.

Anita is 8 years younger than Manju.

Then Anita’s age in terms of Manju’s age = (x–8) years.

**9. How do you express the number of mangoes in terms of the number of boxes, 24 mangoes in a box? (Express it as b.)**

**Answer:** The number of mangoes is 24b.

**10. Eight less than two times of a has what algebraic representation?**

**Answer:** 2a - 8 is a reasonable representation of the problem mentioned above.