Are these practice questions for Expressions using Letter-Numbers based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 7 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Expressions using Letter-Numbers free?

Yes. Every chapter includes free practice questions for Class 7 students to get you started.

What types of questions are included?

The practice set for Expressions using Letter-Numbers mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Expressions using Letter-Numbers for full coverage.

How many practice questions are there for Expressions using Letter-Numbers?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Expressions using Letter-Numbers Class 7 Mathematics Practice Questions with Answers

easy

A student claims that the expressions

5(k-2)

and

5k-2

are equivalent. Critique this statement by providing a numerical example to prove or disprove it.

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easy

Identify the terms in the algebraic expression

5a - 3b + 2c - 7

.

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easy

Explain the difference between the algebraic expressions

x^2

and

2x

. Use

x=5

to support your explanation.

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easy

Define the term 'letter-number' as used in algebra.

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easy

A pen costs ₹

x

and a notebook costs ₹

y

. Rohan buys 5 pens and 3 notebooks. His friend Karan buys 2 pens and 4 notebooks. Formulate an expression for the total amount spent by both of them and simplify it.

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easy

A student simplified the expression

(8p - 5q) - (3p - 7q)

as

5p - 12q

. Critique the student's method, identify the error, and provide the correct simplification with a clear explanation.

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easy

Justify why the expression

7a + 4b

cannot be simplified further.

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easy

Explain how to find the value of the expression

a - 2b

when

a=15

and

b=4

.

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easy

An equilateral triangle has a side length of

s

cm. Write an algebraic expression for its perimeter and then calculate the perimeter if

s = 8

cm.

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easy

Name the components of the term

-9y

.

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easy

Calculate the value of the expression

7p - 12

when

p = 5

.

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medium

Simplify the expression

5(x+2y) - 3(x-y)

and then calculate its value for

x=3

and

y=2

.

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medium

A taxi service 'QuickCab' charges a flat fee of ₹50 and an additional ₹12 per kilometer. Another service 'GoFast' charges a flat fee of ₹30 and ₹15 per kilometer. Formulate an expression for the cost of travelling d kilometers for each service. Determine for what distance d the cost for both services would be equal.

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medium

A pattern is formed using matchsticks to create a chain of hexagons. The first step (one hexagon) requires 6 matchsticks. The second step (two hexagons) requires 11 matchsticks. The third step (three hexagons) requires 16 matchsticks.

a) Analyze the pattern to find an algebraic expression for the number of matchsticks required to form

n

hexagons. b) Calculate the number of matchsticks needed to form 15 hexagons.

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medium

Describe a real-world scenario that can be represented by the algebraic expression

100 + 5x

.

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medium

A taxi service charges a flat fee of ₹50 and an additional ₹15 per kilometer. Formulate an algebraic expression for the total cost of a journey of

k

kilometers.

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medium

Two friends, Rohan and Priya, are saving money. Rohan starts with ₹200 and saves ₹50 each week. Priya starts with ₹350 and saves ₹25 each week. Formulate an expression for the total savings of each after w weeks. Evaluate which person will have more savings after 8 weeks and by how much.

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medium

Sunita's current age is

y

years. Her father is 5 years older than three times her age. Her brother is 4 years younger than her. Write expressions for her father's age and her brother's age. Then, calculate the sum of their three ages.

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medium

Identify which of the following pairs are 'like terms' and explain why: (a)

3x

and

3y

(b)

5p

and

-2p

(c)

4k^2

and

6k

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medium

An equilateral triangle has all three sides of equal length. (a) Describe how to find the perimeter of an equilateral triangle. (b) If the length of one side is denoted by the letter-number

s

, explain how to write a formula for the perimeter,

P

. (c) Explain what makes this formula an algebraic expression.

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medium

Formulate a real-world problem for which the expression

150 - 5x

represents the remaining amount of money.

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medium

Explain the concept of simplifying an algebraic expression. Use the expression

3p + 5q + 2p - q

to illustrate the process.

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medium

Describe in words what the following algebraic expressions represent: (a)

m-1

(b)

5n+3

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medium

A rectangular park has a length that is 5 meters less than twice its breadth. Formulate an expression for its perimeter in terms of its breadth,

b

. If the perimeter is 74 meters, justify the steps to find the park's dimensions.

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medium

A rectangular field has a length of

(3x+4)

meters and a breadth of

(2x-1)

meters. Analyze the dimensions to find an expression for the perimeter of the field. Calculate the perimeter if

x=10

meters.

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medium

Summarize the steps to write an algebraic expression for the statement: "10 less than the product of a number

x

and a number

y

".

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medium

Create an algebraic expression containing at least three terms that simplifies to

2x + 5y

.

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medium

Solve for the value of the expression

a(a+b) - b^2

if

a=4

and

b=3

.

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medium

Subtract the expression

4a - 7b + 10

from

15a - 9b + 2

.

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medium

Recall the standard way to write the expression for 'the product of 7 and a number

k

'.

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medium

List the mathematical operations present in the expression

4(x+5)

.

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medium

Examine the expression

9x + 4y - 5x - y

. Combine the like terms to simplify it.

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medium

Design a matchstick pattern where the number of matchsticks required for the

n

-th step is given by the formula

4n + 1

. Draw the first three steps of your designed pattern and verify that the formula holds.

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hard

Ajay, Bimal, and Chetan have marbles. Bimal has 10 fewer marbles than twice the number of marbles Ajay has. Chetan has 5 more marbles than Bimal. Let

x

be the number of marbles Ajay has.

a) Write algebraic expressions for the number of marbles Bimal and Chetan have. b) Formulate a simplified expression for the total number of marbles they have altogether. c) If Ajay has 20 marbles, calculate the total number of marbles.

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hard

Design a word problem involving the cost of two types of items (e.g., pens and notebooks) and a discount. The final cost should be represented by the simplified algebraic expression

8x + 5y - 50

, where x is the number of pens and y is the number of notebooks. Describe the original prices and the discount in your problem statement and justify how your problem leads to the given expression.

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hard

Consider any

3 \times 3

square of dates from a calendar. Propose that the sum of all nine dates is always nine times the center date. Justify this proposal using algebraic expressions.

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hard

Compare the expressions

3(n+4)

and

3n+4

. Are they equal? Justify your answer by calculating their values for

n=1

and

n=5

.

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hard

A family's monthly budget for groceries is ₹

g

and for utilities is ₹

u

. In April, they spent exactly their budgeted amount. In May, their grocery expenses increased by 10% and their utility expenses decreased by ₹500. In June, their grocery expenses were ₹1000 less than in May, and their utility expenses were 5% more than in April.

a) Write an expression for the total expenses in May. b) Write a simplified expression for the total expenses in June. c) Calculate the total expenses for all three months combined.

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hard

What should be added to

5x^2 - 3xy + 7y^2

to get

8x^2 + 2xy - 4y^2

?

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hard

Explain why the expression

4(a+b)

is not the same as

4a+b

.

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hard

Prove algebraically that the sum of any three consecutive odd integers is always a multiple of 3. Justify each step of your proof.

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hard

An artist makes a pattern of squares from tiles. Step 1 is a single square. In Step 2, squares are added to form a larger

2 \times 2

square. In Step 3, squares are added to form a

3 \times 3

square. a) Formulate an expression for the total number of small squares in Step n. b) Formulate an expression for the perimeter of the entire shape in Step n, assuming each small square has a side length of 1 unit. c) Justify that the number of new squares added to get from Step n-1 to Step n is

2n - 1

.

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hard

Two expressions are given: A =

x + (x+7)

and B =

2(x+3.5)

. Evaluate if these expressions are always equal. Justify your answer.

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hard

A school is planning a trip. The cost is ₹1200 per student. For every 10 students that sign up, the organizing committee gets a group discount of ₹500. A student formulates the total cost for s students as

1200s - 500 \times \frac{s}{10}

. a) Critique this formula. Identify a scenario where it fails or gives a nonsensical answer. b) Propose a more accurate way to describe the cost calculation and justify why your proposed method is better.

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hard

Describe how a formula is a special type of algebraic expression. Use the formula for the area of a triangle,

A = \frac{1}{2}bh

, to explain your points.

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Expressions using Letter-NumbersClass 7 Mathematics Practice Questions