Class 6 Maths Chapter 11 Practice Question Answers - Algebra

Q1: If y/5 = 1, then y =?
Ans: The given equation is


Q2: What is the constant term of 2a² − 9?
Ans: The constant term of the expression 2a² − 9 is −9.

Q3: What is the numerical coefficient of 4a²?
Ans: The given expression is 4a².
It is known that, the numerical coefficient in an algebraic expression is the number multiplied in that expression.
Therefore, the numerical coefficient of 4a² is 4.

Q4: What is the coefficient of b in −8abc?
Ans: The given algebraic expression is −8abc.
Recall that, the coefficient of any term in an algebraic expression is the multiplication of other terms in that algebraic expression.
Therefore, the coefficient of the term b in the expression −8abc is −8ac.

Q5: What is the product form of x²y⁷?
Ans: The given algebraic expression is x²y⁷.
Recall that, the number of times x is multiplied with itself equals x to the power that number.
Therefore, x² = x × x.
Similarly, y⁷ = y × y × y × y × y × y × y.
Thus, x²y⁷ = x × x × y × y × y × y × y × y × y.

Q6: What is the exponential form of x × x × x × x × ....15 times?
Ans: The given expression x × x × x × x × ...15 times.
Recall that, x × x = x²,
x × x × x = x³,
x × x × x × x = x⁴, etc.
Therefore, the number of times x is multiplied with itself equals x to the power that number.
Thus, x × x × x × x × ...15 times = x¹⁵.

Q7: Express algebraically: 3 more than x.
Ans: The algebraic expression of the given statement is x + 3.

Q8: Solve the following equation and evaluate x. Also, justify the result.
x − 8 = 17.
Ans: The given equation is
x − 8 = 17
Add 8 both sides of the equation.
x − 8 + 8 = 17 + 8
⇒ x = 25
Justification:
LHS = x − 8
= 25 − 8
= 17
= RHS
Thus, Left-hand-side = Right-hand-side.

Q9: Express algebraically the following statement: 8 times a number x is less than a number ≥.
Ans: The required algebraic expression of the given statement is 8x = z − y.

Q10: What are the terms in the following algebraic expression?
4ab² + 3c² − 5ab + 9.
Ans: The terms in the given expression are 4ab², 3c², −5ab, and 9.