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All questions of Algebraic Expressions for Class 7 Exam
What are the coefficients of x in the expression 8 – x + y?
- a)-8
- b)8
- c)-1
- d)1
Correct answer is option 'C'. Can you explain this answer?
What are the coefficients of x in the expression 8 – x + y?
a)
-8
b)
8
c)
-1
d)
1
|
Nandita Krishnan answered |
coefficients of x is the constant with the x which is -1 in this case.
The number of terms in 4p2q − 3pq2 + 5 is- a)3
- b)7
- c)5
- d)1
Correct answer is option 'A'. Can you explain this answer?
The number of terms in 4p2q − 3pq2 + 5 is
a)
3
b)
7
c)
5
d)
1
|
Varun Kapoor answered |
Number of terms means the total number of individual elements present in a statement.
We have 4p2q, 3pq2 and 5 separated by a plus or minus sign, so these three are our terms.
If the value of the expression x2 – 5x + k for x = 0 is 5, then the value of k is
- a)2
- b)5
- c)1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
If the value of the expression x2 – 5x + k for x = 0 is 5, then the value of k is
a)
2
b)
5
c)
1
d)
None of these
|
Subset Academy answered |
Put value of x in the given expression: (0) - 5 x (0)2 + k = 5 => k = 5
Write an expression: Raju's father's age is 5 years more than 3 times Raju s age. If Raju's age is x years, then his father’s age is
- a)3x – 5
- b)3x + 7
- c)5 – 3x
- d)3x + 5
Correct answer is option 'D'. Can you explain this answer?
Write an expression: Raju's father's age is 5 years more than 3 times Raju s age. If Raju's age is x years, then his father’s age is
a)
3x – 5
b)
3x + 7
c)
5 – 3x
d)
3x + 5
|
Priyanka Sharma answered |
Raju's age is x. Since the father’s age is 3 times Raju's age and 5 more, so three times Raju's age is 3x and 5 more, which means 3x+5.
What is the coefficient of x in the expression y2x + y?
- a)y
- b)y2
- c)1
- d)0
Correct answer is option 'B'. Can you explain this answer?
What is the coefficient of x in the expression y2x + y?
a)
y
b)
y2
c)
1
d)
0
|
Arien Instructors answered |
coefficient is the integral number next to a given variable.
for y, it is -3
The expression for sum of numbers a and b subtracted from their product is
- a)ab – a + b
- b)a + b – ab
- c)ab + a – b
- d)ab – (a + b)
Correct answer is option 'D'. Can you explain this answer?
The expression for sum of numbers a and b subtracted from their product is
a)
ab – a + b
b)
a + b – ab
c)
ab + a – b
d)
ab – (a + b)
|
|
Priyanka Sharma answered |
Sum of numbers is (a+b) , its product is ab and we have to subtract sum from product , so its ab-(a+b)
Which of the following pairs of terms is a pair of unlike terms?
- a) -p2q2,12q2p2
- b)-4yx2,-4xy2
- c)41,100
- d)qp2,13p2q
Correct answer is option 'B'. Can you explain this answer?
Which of the following pairs of terms is a pair of unlike terms?
a)
-p2q2,12q2p2
b)
-4yx2,-4xy2
c)
41,100
d)
qp2,13p2q
|
|
Varun Kapoor answered |
The correct option is B −4yx2,−4xy2
- −p2q2,12q2p2: terms contain same variables with equal exponents, so these are like terms.
- −4yx2,−4xy2: As in −4yx2, x has exponent 2 & y has exponent 1 and in −4xy2 , y has exponent 2 & x has exponent 1. So both the terms have same variables but with different exponent. Hence −4yx2,−4xy2 are unlike terms.
- 41, 100: terms do not contain any variable, so these are like terms.
- qp2,13p2q: terms have same variables p and q with equal exponent 2 and 1 respectively. So, these are like terms.
The sum of mn + 5 – 2 and mn+3 is- a)2mn + 6
- b)mn + 6
- c)2mn – 6
- d)mn – 6
Correct answer is option 'A'. Can you explain this answer?
The sum of mn + 5 – 2 and mn+3 is
a)
2mn + 6
b)
mn + 6
c)
2mn – 6
d)
mn – 6
|
|
Varun Kapoor answered |
mn+5 – 2 + mn + 3 = mn + mn + 5 - 2+3 = 2mn+6
What is the numerical coefficient of y2in the expression 2x2y - 15xy2 + 7y- a)x
- b)5
- c)-15
- d)15x
Correct answer is option 'C'. Can you explain this answer?
What is the numerical coefficient of y2in the expression 2x2y - 15xy2 + 7y
a)
x
b)
5
c)
-15
d)
15x
|
Tutorpedia Coaching answered |
The numerical coefficient is the constant part of the term without the variables. In this case, the numerical coefficient of y2 is -15.
The coefficient of y3 in the expression y − y3+ y2is- a)-1
- b)2
- c)1
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The coefficient of y3 in the expression y − y3+ y2is
a)
-1
b)
2
c)
1
d)
None of these
|
|
Priyanka Sharma answered |
Coefficient is the numerical number associated with the variable. So here we have (-1)y3. So the answer is -1.
Write the expression for the statement: the sum of three times x and 11.
- a)3x – 11
- b)3x + 11
- c)11 – 3x
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Write the expression for the statement: the sum of three times x and 11.
a)
3x – 11
b)
3x + 11
c)
11 – 3x
d)
None of these
|
|
Priyanka Sharma answered |
Three times of x is 3 multiplied by x which is 3x . sum of 3x and 11 is 3x plus 11 which is 3x + 11
The expression xyz is- a)binomial
- b)monomial
- c)trinomial
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The expression xyz is
a)
binomial
b)
monomial
c)
trinomial
d)
None of these
|
Maitri Sarkar answered |
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.Examples of
Simplify the following: 7xy2 − y2 + 7x2y − 5x2 − 3y2 + 4y2x − 3y2 + x2- a) 11xy2 + 7xy2 − 4x2 − 7y2
- b) 7xy2 − 11xy2 + 4x2 − 7y2
- c) 7x2y + 11xy2 − 4x2 − 7y2
- d) 11xy2 − 7xy2 + 4x2 − 7y2
Correct answer is option 'C'. Can you explain this answer?
Simplify the following: 7xy2 − y2 + 7x2y − 5x2 − 3y2 + 4y2x − 3y2 + x2
a)
11xy2 + 7xy2 − 4x2 − 7y2
b)
7xy2 − 11xy2 + 4x2 − 7y2
c)
7x2y + 11xy2 − 4x2 − 7y2
d)
11xy2 − 7xy2 + 4x2 − 7y2
|
Megha rane answered |
Understanding the Expression
To simplify the expression 7xy² - y² + 7x²y - 5x² - 3y² + 4y²x - 3y² + x², we will group and combine like terms step-by-step.
Step 1: Identify Like Terms
- The terms involving xy²: 7xy²
- The terms involving y²: -y² - 3y² - 3y² = -7y²
- The terms involving x²: -5x² + x² = -4x²
- The terms involving x²y: 7x²y + 4y²x = 11x²y (since 4y²x = 4xy²)
Step 2: Combine Like Terms
Now, combine the simplified terms from above:
- The xy² term: 7xy²
- The y² term: -7y²
- The x² term: -4x²
- The x²y term: 11x²y
So, the expression simplifies to:
7xy² + 11x²y - 4x² - 7y²
Step 3: Review Options
Now, let's compare the simplified expression with the given options:
- a) 11xy² + 7xy² - 4x² - 7y²
- b) 7xy² - 11xy² + 4x² - 7y²
- c) 7x²y + 11xy² - 4x² - 7y²
- d) 11xy² - 7xy² + 4x² - 7y²
The correct simplified expression is aligned with option c):
Final Answer
Therefore, the correct answer is option C): 7x²y + 11xy² - 4x² - 7y².
To simplify the expression 7xy² - y² + 7x²y - 5x² - 3y² + 4y²x - 3y² + x², we will group and combine like terms step-by-step.
Step 1: Identify Like Terms
- The terms involving xy²: 7xy²
- The terms involving y²: -y² - 3y² - 3y² = -7y²
- The terms involving x²: -5x² + x² = -4x²
- The terms involving x²y: 7x²y + 4y²x = 11x²y (since 4y²x = 4xy²)
Step 2: Combine Like Terms
Now, combine the simplified terms from above:
- The xy² term: 7xy²
- The y² term: -7y²
- The x² term: -4x²
- The x²y term: 11x²y
So, the expression simplifies to:
7xy² + 11x²y - 4x² - 7y²
Step 3: Review Options
Now, let's compare the simplified expression with the given options:
- a) 11xy² + 7xy² - 4x² - 7y²
- b) 7xy² - 11xy² + 4x² - 7y²
- c) 7x²y + 11xy² - 4x² - 7y²
- d) 11xy² - 7xy² + 4x² - 7y²
The correct simplified expression is aligned with option c):
Final Answer
Therefore, the correct answer is option C): 7x²y + 11xy² - 4x² - 7y².
Which of the following is the correct expansion of the algebraic identity (a+b)2?- a)a2+2ab+b2
- b)a2+b2
- c)a2−2ab+b2
- d)2a2+2b2
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the correct expansion of the algebraic identity (a+b)2?
a)
a2+2ab+b2
b)
a2+b2
c)
a2−2ab+b2
d)
2a2+2b2
|
Clifford Academy answered |
The algebraic identity (a+b)2 = a2+2ab+b2
Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
3x – 5a – x2 + 9b- a)-13
- b)15
- c)13
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
3x – 5a – x2 + 9b
3x – 5a – x2 + 9b
a)
-13
b)
15
c)
13
d)
None of these
|
Anita Menon answered |
3x - 5a -x 2 + 9b = 3*3 - 5(-1)-32 + 9 (-2) = 9 + 5 -9 - 18 = 5 - 18 = -13
Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a
- a)a - ab
- b)a + ab
- c)a + b
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a
a)
a - ab
b)
a + ab
c)
a + b
d)
None of these
|
Pratima shukla answered |
The expression 3a is already simplified and cannot be further simplified.
When terms have the same algebraic factor, they are called __________.- a)like terms
- b)expressions
- c)unlike terms
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
When terms have the same algebraic factor, they are called __________.
a)
like terms
b)
expressions
c)
unlike terms
d)
None of these
|
Vp Classes answered |
- When terms have the same algebraic factor, they are called like terms.
- Like terms have identical variables raised to the same powers, but they may have different coefficients.
- For example, in the expression 3x2 + 5x - 2x2, the terms 3x2 and -2x2 are like terms.
- Like terms have identical variables raised to the same powers, but they may have different coefficients.
- For example, in the expression 3x2 + 5x - 2x2, the terms 3x2 and -2x2 are like terms.
A _________ can take various values.- a)variable
- b)expression
- c)term
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
A _________ can take various values.
a)
variable
b)
expression
c)
term
d)
None of these
|
|
Subset Academy answered |
- A variable is a symbol used to represent a quantity that can change or take on different values.
- In mathematics and programming, variables are placeholders for data that can vary.
- Examples include variables in algebra like x or y, which can represent any number.
- Unlike constants, which have a fixed value, variables are designed to be flexible and adaptable to different situations.
- In mathematics and programming, variables are placeholders for data that can vary.
- Examples include variables in algebra like x or y, which can represent any number.
- Unlike constants, which have a fixed value, variables are designed to be flexible and adaptable to different situations.
The number of terms in the expression 1.2ab – 2.4 b + 3.6a is- a)4
- b)3
- c)2
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
The number of terms in the expression 1.2ab – 2.4 b + 3.6a is
a)
4
b)
3
c)
2
d)
None of these
|
Keystone Instructors answered |
The expression 1.2ab−2.4b+3.6aconsists of three terms:
- 1.2ab
- −2.4b
- 3.6a
Hence, the number of terms in this expression is 3.
The constant term in the expression 1 + x2+ x is
- a)1
- b)x
- c)x2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The constant term in the expression 1 + x2+ x is
a)
1
b)
x
c)
x2
d)
None of these
|
Praveen Kumar answered |
The constant term in the expression 1+x²+x is 1.
From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, ab, 3a, b.The like terms are- a)7p, 8q
- b)ab, 3a, b
- c)10pq,-7pq
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
From the following expressions 10pq, 7p, 8q, −p2q2, -7pq, -23, ab, 3a, b.The like terms are
a)
7p, 8q
b)
ab, 3a, b
c)
10pq,-7pq
d)
None of these
|
Freak Artworks answered |
Like terms are those that have the same variable(s) raised to the same power(s).
Here, 10pq and −7pq are like terms because they both contain pq with the same powers of p and q.
Here, 10pq and −7pq are like terms because they both contain pq with the same powers of p and q.
×17
×77Simplify the expression −3(x + y) +5(x − y)- a)2x − 8y
- b)− 2x + 2y
- c)8x − 8y
- d)2x + 8y
Correct answer is option 'A'. Can you explain this answer?
Simplify the expression −3(x + y) +5(x − y)
a)
2x − 8y
b)
− 2x + 2y
c)
8x − 8y
d)
2x + 8y
|
Mythili jain answered |
Understanding the Expression
To simplify the expression -3(x + y) + 5(x - y), we will distribute the coefficients and combine like terms.
Step 1: Distribute the Coefficients
- Distributing -3 in -3(x + y):
- -3 * x = -3x
- -3 * y = -3y
- Thus, -3(x + y) = -3x - 3y
- Distributing 5 in 5(x - y):
- 5 * x = 5x
- 5 * -y = -5y
- Thus, 5(x - y) = 5x - 5y
Step 2: Combine the Results
Now, substitute the distributed results back into the expression:
- -3x - 3y + 5x - 5y
Step 3: Combine Like Terms
Now, combine the like terms:
- Combine x terms:
- -3x + 5x = 2x
- Combine y terms:
- -3y - 5y = -8y
So, the expression simplifies to:
- 2x - 8y
Final Result
Thus, the simplified expression is:
- 2x - 8y
This matches option 'A'.
To simplify the expression -3(x + y) + 5(x - y), we will distribute the coefficients and combine like terms.
Step 1: Distribute the Coefficients
- Distributing -3 in -3(x + y):
- -3 * x = -3x
- -3 * y = -3y
- Thus, -3(x + y) = -3x - 3y
- Distributing 5 in 5(x - y):
- 5 * x = 5x
- 5 * -y = -5y
- Thus, 5(x - y) = 5x - 5y
Step 2: Combine the Results
Now, substitute the distributed results back into the expression:
- -3x - 3y + 5x - 5y
Step 3: Combine Like Terms
Now, combine the like terms:
- Combine x terms:
- -3x + 5x = 2x
- Combine y terms:
- -3y - 5y = -8y
So, the expression simplifies to:
- 2x - 8y
Final Result
Thus, the simplified expression is:
- 2x - 8y
This matches option 'A'.
What is the coefficient of x² in the expression 5/7x²z?- a)5
- b)5/7
- c)z
- d)5/7z
Correct answer is option 'D'. Can you explain this answer?
a)
5
b)
5/7
c)
z
d)
5/7z
|
|
Tutorpedia Coaching answered |
The coefficient of x² in the expression 5/7x²z is 5/7z.
Find the value of x + 4 for x = 2. - a)6
- b)8
- c)4
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Find the value of x + 4 for x = 2.
a)
6
b)
8
c)
4
d)
None of these
|
|
Kanchan Singh answered |
6 is the correct answer
Sita is y years old this year. Her brother is twice as old as her. How old was her brother 2 years ago?- a)2y−2
- b)2y−4
- c)y−2
- d)y−1
Correct answer is option 'B'. Can you explain this answer?
Sita is y years old this year. Her brother is twice as old as her. How old was her brother 2 years ago?
a)
2y−2
b)
2y−4
c)
y−2
d)
y−1
|
|
Praveen Kumar answered |
Sita's current age = y years.
Her brother's current age = 2y (since he is twice as old as her).
Her brother's current age = 2y (since he is twice as old as her).
Two years ago, her brother's age = 2y−2
Subtracting 2 from 2y:
2y−2−2 = 2y−4
2y−2−2 = 2y−4
Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
2b – 8x +4x2 + 4a- a)4
- b)6
- c)10
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Simplify these expressions and find their values, if x = 3, a = – 1, b = – 2.
2b – 8x +4x2 + 4a
2b – 8x +4x2 + 4a
a)
4
b)
6
c)
10
d)
None of these
|
|
Mrinalini iyer answered |
2b-8x+4x2+4a
=2(-2)-8(3)+ 4(3)2+4(-1)
=-4-24+36-4
=4
=2(-2)-8(3)+ 4(3)2+4(-1)
=-4-24+36-4
=4
What is the coefficient of x² in the expression 5x²yz?- a)5
- b)y
- c)z
- d)5yz
Correct answer is option 'D'. Can you explain this answer?
a)
5
b)
y
c)
z
d)
5yz
|
|
Praveen Kumar answered |
The coefficient of x² in the expression 5x²yz is 5yz.
How many terms are there in the algebraic expression 2x² + y² − 3xy + 4?- a)2
- b)3
- c)4
- d)5
Correct answer is option 'C'. Can you explain this answer?
How many terms are there in the algebraic expression 2x² + y² − 3xy + 4?
a)
2
b)
3
c)
4
d)
5
|
|
Praveen Kumar answered |
The algebraic expression 2x² + y² − 3xy + 4 has 4 terms: 2x², y², −3xy, and 4.
Chapter doubts & questions for Algebraic Expressions - Mathematics (Maths) Class 7 2025 is part of Class 7 exam preparation. The chapters have been prepared according to the Class 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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