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All questions of Algebraic Expressions for Grade 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
|
|
Priyanka Sharma answered |
Coefficient of a variable is the integral number(or the expression) written next to a given variable. For x, the coefficient is y2.
Topic in NCERT: Coefficients
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
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.
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
|
Sparsh Kapoor answered |
There are only two terms in the expression 1.2ab:
1. The first term is 1.2, which is a decimal number.
2. The second term is ab, which is a variable expression consisting of two variables multiplied together.
Therefore, the number of terms in the expression 1.2ab is two.
1. The first term is 1.2, which is a decimal number.
2. The second term is ab, which is a variable expression consisting of two variables multiplied together.
Therefore, the number of terms in the expression 1.2ab is two.
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.
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
|
Shefali shukla answered |
Solution:
To find the constant term in the expression 1 x^2 x, we need to simplify the expression by multiplying the coefficients and the variables of the same degree.
1 x^2 x = 1 * x^2 * x
= 1 * x^(2+1)
= x^3
Therefore, the constant term in the expression is 0. The correct answer is option 'D' (None of these).
Explanation:
A constant term is a term in an algebraic expression that does not contain a variable. It is the term with the highest power of the variable raised to 0. In the given expression, there is no term that does not contain a variable. Therefore, there is no constant term in the expression.
To find the constant term in the expression 1 x^2 x, we need to simplify the expression by multiplying the coefficients and the variables of the same degree.
1 x^2 x = 1 * x^2 * x
= 1 * x^(2+1)
= x^3
Therefore, the constant term in the expression is 0. The correct answer is option 'D' (None of these).
Explanation:
A constant term is a term in an algebraic expression that does not contain a variable. It is the term with the highest power of the variable raised to 0. In the given expression, there is no term that does not contain a variable. Therefore, there is no constant term in the expression.
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.
What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?- a)1
- b)3
- c)5
- d)7
Correct answer is option 'B'. Can you explain this answer?
a)
1
b)
3
c)
5
d)
7
|
|
Tutorpedia Coaching answered |
The value of the expression ax² + by² – cz is 3.
×17
×77What 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
|
|
Rishabh Nair answered |
Understanding the Expression
The given expression is 5/7x²z. To find the coefficient of x², we need to identify the part of the expression that multiplies x².
Identifying the Coefficient
- In algebra, the coefficient of a term is the numerical factor that multiplies the variable.
- Here, the term x² is multiplied by the factor 5/7z.
Breaking Down the Expression
- The expression can be viewed as:
- 5/7 (the coefficient)
- x² (the variable term)
- z (a separate variable)
Finding the Coefficient of x²
- The complete term involving x² is 5/7x²z.
- The coefficient of x² here is the factor that precedes x², which is 5/7z.
Conclusion
- Hence, the coefficient of x² in the expression 5/7x²z is effectively 5/7z, making option 'D' the correct answer.
- The key point is that the coefficient of x² is not just 5/7; it also includes the variable z, leading us to the final answer: 5/7z.
The given expression is 5/7x²z. To find the coefficient of x², we need to identify the part of the expression that multiplies x².
Identifying the Coefficient
- In algebra, the coefficient of a term is the numerical factor that multiplies the variable.
- Here, the term x² is multiplied by the factor 5/7z.
Breaking Down the Expression
- The expression can be viewed as:
- 5/7 (the coefficient)
- x² (the variable term)
- z (a separate variable)
Finding the Coefficient of x²
- The complete term involving x² is 5/7x²z.
- The coefficient of x² here is the factor that precedes x², which is 5/7z.
Conclusion
- Hence, the coefficient of x² in the expression 5/7x²z is effectively 5/7z, making option 'D' the correct answer.
- The key point is that the coefficient of x² is not just 5/7; it also includes the variable z, leading us to the final answer: 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
What is the value of the expression ax + by + cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?- a)-3
- b)-5
- c)-7
- d)-9
Correct answer is option 'C'. Can you explain this answer?
a)
-3
b)
-5
c)
-7
d)
-9
|
Learning Enablers answered |
The value of the expression ax + by + cz is -7.
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
|
Aruna sharma answered |
Understanding Sita's Age
- Sita's current age is represented as "y" years.
- Her brother's age is twice her age, which can be expressed as "2y" years.
Calculating Brother's Age 2 Years Ago
- To find out how old her brother was 2 years ago, we need to subtract 2 from his current age.
Current Age of Brother
- Current age of Sita's brother = 2y years
Age Calculation
- Brother's age 2 years ago = Current age - 2
- So, it will be: 2y - 2
Final Answer
- Thus, Sita's brother was "2y - 2" years old two years ago.
- This matches option 'b'.
Conclusion
- The answer to the question about how old her brother was 2 years ago is indeed option 'b) 2y - 2'.
- Sita's current age is represented as "y" years.
- Her brother's age is twice her age, which can be expressed as "2y" years.
Calculating Brother's Age 2 Years Ago
- To find out how old her brother was 2 years ago, we need to subtract 2 from his current age.
Current Age of Brother
- Current age of Sita's brother = 2y years
Age Calculation
- Brother's age 2 years ago = Current age - 2
- So, it will be: 2y - 2
Final Answer
- Thus, Sita's brother was "2y - 2" years old two years ago.
- This matches option 'b'.
Conclusion
- The answer to the question about how old her brother was 2 years ago is indeed option 'b) 2y - 2'.
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
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