Important Questions and Answers for Class 7 Maths Chapter 4 Expressions Using Letter Numbers 2025-26

1. Multiple choice questions.

1. Which of the following is the correct algebraic expression for “5 more than a number x”?

• (a) $x - 5$
• (b) $5x$
• (c) $x + 5$
• (d) $5 - x$

Answer: (c) $x + 5$

2. The perimeter of a regular pentagon with side length $a$ is:

• (a) $4a$
• (b) $5a$
• (c) $3a$
• (d) $a + 5$

Answer: (b) $5a$

3. Which expression represents “twice a number $m$ decreased by 7”?

• (a) $2m - 7$
• (b) $m - 7$
• (c) $7m - 2$
• (d) $2(m + 7)$

Answer: (a) $2m - 7$

4. If $k = 4$, then the value of $3k + 2$ is:

• (a) 10
• (b) 12
• (c) 14
• (d) 6

Answer: (c) 14

5. The algebraic expression for the sum of three times $y$ and 9 is:

• (a) $y + 3 + 9$
• (b) $3y + 9$
• (c) $y + 9$
• (d) $9y + 3$

Answer: (b) $3y + 9$

2. Very Short Answer (VSA).

1. What is an algebraic expression?

Answer: An algebraic expression is a combination of numbers and letter-numbers (such as $x$, $y$) connected by mathematical operations like addition, subtraction, multiplication, or division.

2. Write the expression for “4 less than a number $s$”.

Answer: The expression is $s - 4$.

3. If $d = 6$, calculate the value of $3d$.

Answer: $3d = 3 \times 6 = 18$.

4. What is the simplified form of $4x + 2x$?

Answer: The simplified form is $6x$.

5. If $y=5$, what will be the value of $2y+3$?

Answer: $2y + 3 = 2 \times 5 + 3 = 10 + 3 = 13$.

3. Short Answer Questions.

1. Explain with an example how a letter-number can be used to represent a practical situation.

Answer: For example, if Riya’s age is always 5 years more than Tanu’s age, and Tanu’s age is represented by $t$, then Riya’s age is expressed as $t + 5$. This helps create general statements valid for any value of $t$.

2. Find the value of $7p - 3q$ if $p=4$ and $q=2$.

Answer: Substitute $p = 4$, $q = 2$:

• $7p - 3q = 7 \times 4 - 3 \times 2$
• $= 28 - 6 = 22$

3. If a shopkeeper sells $5$ pencils for $c$ each and $3$ erasers for $d$ each on Day 1, write the total earnings for the day as an algebraic expression and simplify.

Answer: Total earning $= 5c + 3d$. This combines the money earned from pencils and erasers. The expression is already in its simplest form.

4. Write the formula for the perimeter of a rectangle using letter-numbers $l$ (length) and $b$ (breadth) and simplify it.

Answer: Perimeter $= l + b + l + b = 2l + 2b$. This concise formula helps calculate the perimeter for any given values of $l$ and $b$.

5. Simplify the expression $8x - (2x - 3) + 12$.

Answer:

1. $8x - (2x - 3) + 12 = 8x - 2x + 3 + 12$
2. $= 6x + 15$

4. True or False Questions.

1. The expression $3a + 2b$ equals $5(a + b)$.

Answer: False

2. $a + a + a = 3a$ is a correct simplification.

Answer: True

3. $4(x + y) - y$ simplifies to $4x + 4y - y$.

Answer: True

4. The expressions $5u$ and $5 + u$ are always equal.

Answer: False

5. $10y - 3$ and $10(y - 3)$ always have the same value for any $y$.

Answer: False

3. Fill in the Blanks Questions.

1. The algebraic expression for the area of a rectangle with sides $l$ and $b$ is __________.

Answer: $l \times b$

2. The simplified form of $2y + 4y$ is __________.

Answer: $6y$

3. If the number of matchsticks used to make $n$ L-shaped objects is described by an expression, it is __________.

Answer: $2n$

4. Shabnam’s age is 3 years more than Aftab’s age written as an expression: __________.

Answer: $s = a + 3$

5. The $n$th term of the sequence $4, 8, 12, 16, \ldots$ is __________.

Answer: $4n$

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