व्यंजक \(4x^2-7x+9\) में रैखिक पद कौन-सा है?
Which is the linear term in the expression \(4x^2-7x+9\)?
#algebraic-expressions
#linear-term
#polynomials
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4x^2\)
B (-7x)
C (9)
D \(4x^2+9\)
Explanation opens after your attempt
Step 1
Concept
A linear term has the variable with power one. The correct term with its sign is (-7x).
Step 2
Why this answer is correct
The correct answer is B. (-7x). A linear term has the variable with power one. The correct term with its sign is (-7x).
Step 3
Exam Tip
रैखिक पद में चर की घात एक होती है। चिन्ह सहित (-7x) सही पद है।
Login to save your score, XP, coins and progress. Login
\(3a^2b\) और \(5ab^2\) के बारे में सही कथन कौन-सा है?
Which statement is correct about \(3a^2b\) and \(5ab^2\)?
#algebraic-expressions
#like-unlike-terms
#powers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A दोनों समान पद हैं / Both are like terms
B दोनों स्थिर पद हैं / Both are constant terms
C दोनों असमान पद हैं / Both are unlike terms
D दोनों का गुणांक समान है / Both have the same coefficient
Explanation opens after your attempt
Correct Answer
C. दोनों असमान पद हैं / Both are unlike terms
Step 1
Concept
The variables look similar but their powers are different. Like terms must have the same variables with the same powers.
Step 2
Why this answer is correct
The correct answer is C. दोनों असमान पद हैं / Both are unlike terms. The variables look similar but their powers are different. Like terms must have the same variables with the same powers.
Step 3
Exam Tip
चर समान दिखते हैं पर उनकी घातें अलग हैं। समान पदों में चर और घात दोनों समान होने चाहिए।
Login to save your score, XP, coins and progress. Login
(6p-4q+2p+9q) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (6p-4q+2p+9q)?
#algebraic-expressions
#simplification
#like-terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8p+5q)
B (8p-13q)
C (4p+5q)
D (8pq+5)
Explanation opens after your attempt
Correct Answer
A. (8p+5q)
Step 1
Concept
Combining like terms gives (6p+2p=8p) and (-4q+9q=5q). Group terms with the same variable first.
Step 2
Why this answer is correct
The correct answer is A. (8p+5q). Combining like terms gives (6p+2p=8p) and (-4q+9q=5q). Group terms with the same variable first.
Step 3
Exam Tip
समान पदों को जोड़ें तो (6p+2p=8p) और (-4q+9q=5q)। पहले समान चर वाले पदों को समूहित करें।
Login to save your score, XP, coins and progress. Login
यदि (x=-2) हो तो \(x^2+3x+1\) का मान क्या होगा?
If (x=-2), what is the value of \(x^2+3x+1\)?
#algebraic-expressions
#substitution
#negative-value
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (11)
B (3)
C (1)
D (-1)
Explanation opens after your attempt
Step 1
Concept
Substitution gives ((-2)2 +3(-2)+1=4-6+1=-1). Use brackets when squaring a negative number.
Step 2
Why this answer is correct
The correct answer is D. (-1). Substitution gives ((-2)2 +3(-2)+1=4-6+1=-1). Use brackets when squaring a negative number.
Step 3
Exam Tip
मान रखने पर ((-2)2 +3(-2)+1=4-6+1=-1)। ऋणात्मक संख्या का वर्ग करते समय कोष्ठक लगाएँ।
Login to save your score, XP, coins and progress. Login
व्यंजक (7mn-3m+5) में कितने पद हैं?
How many terms are there in (7mn-3m+5)?
#algebraic-expressions
#terms
#counting
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
It has three terms: (7mn), (-3m), and (5). Count the term after a minus sign with its sign.
Step 2
Why this answer is correct
The correct answer is B. (3). It has three terms: (7mn), (-3m), and (5). Count the term after a minus sign with its sign.
Step 3
Exam Tip
इसमें (7mn), (-3m) और (5) तीन पद हैं। घटाव वाले पद को चिन्ह सहित गिनें।
Login to save your score, XP, coins and progress. Login
(2(x-5)+3x) को सरल करने पर कौन-सा व्यंजक मिलेगा?
Which expression is obtained after simplifying (2(x-5)+3x)?
#algebraic-expressions
#expansion
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x-10)
B (5x+10)
C (5x-10)
D (x-10)
Explanation opens after your attempt
Correct Answer
C. (5x-10)
Step 1
Concept
First expand (2(x-5)=2x-10), then add (3x). This gives (5x-10).
Step 2
Why this answer is correct
The correct answer is C. (5x-10). First expand (2(x-5)=2x-10), then add (3x). This gives (5x-10).
Step 3
Exam Tip
पहले (2(x-5)=2x-10) करें फिर (3x) जोड़ें। इससे (5x-10) मिलता है।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक \(4x^2-3x+6\) में (x) के गुणांक को सही बताता है?
Which option correctly gives the coefficient of (x) in \(4x^2-3x+6\)?
#algebraic-expressions
#coefficient
#linear-term
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4)
B (-3)
C (6)
D (3)
Explanation opens after your attempt
Step 1
Concept
The term containing (x) is (-3x). So the coefficient of (x) is (-3).
Step 2
Why this answer is correct
The correct answer is B. (-3). The term containing (x) is (-3x). So the coefficient of (x) is (-3).
Step 3
Exam Tip
(x) वाला पद (-3x) है। इसलिए (x) का गुणांक (-3) है।
Login to save your score, XP, coins and progress. Login
यदि (a=2) और (b=-1), तो (3a-2b) का मान क्या होगा?
If (a=2) and (b=-1), what is the value of (3a-2b)?
#algebraic-expressions
#substitution
#two-variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4)
B (6)
C (8)
D (-8)
Explanation opens after your attempt
Step 1
Concept
(3a-2b=3(2)-2(-1)=6+2=8). Subtracting a negative value can become addition.
Step 2
Why this answer is correct
The correct answer is C. (8). (3a-2b=3(2)-2(-1)=6+2=8). Subtracting a negative value can become addition.
Step 3
Exam Tip
(3a-2b=3(2)-2(-1)=6+2=8)। ऋणात्मक मान घटाने पर जोड़ बन सकता है।
Login to save your score, XP, coins and progress. Login
\(5u^2+2u-8\) में स्थिर पद कौन-सा है?
Which is the constant term in \(5u^2+2u-8\)?
#algebraic-expressions
#constant-term
#sign
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(5u^2\)
B (2u)
C (-8)
D (8u)
Explanation opens after your attempt
Step 1
Concept
A constant term has no variable and is taken with its sign. Here the constant term is (-8).
Step 2
Why this answer is correct
The correct answer is C. (-8). A constant term has no variable and is taken with its sign. Here the constant term is (-8).
Step 3
Exam Tip
स्थिर पद में कोई चर नहीं होता और उसे चिन्ह सहित लिया जाता है। यहाँ स्थिर पद (-8) है।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (m) और (n) के योग के (3) गुने को दर्शाता है?
Which expression represents three times the sum of (m) and (n)?
#algebraic-expressions
#word-to-expression
#brackets
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3m+n)
B (m+3n)
C (3(m+n))
D (mn+3)
Explanation opens after your attempt
Correct Answer
C. (3(m+n))
Step 1
Concept
The sum must be taken first and then multiplied by (3). So the bracketed form (3(m+n)) is correct.
Step 2
Why this answer is correct
The correct answer is C. (3(m+n)). The sum must be taken first and then multiplied by (3). So the bracketed form (3(m+n)) is correct.
Step 3
Exam Tip
योग पहले लेना है और फिर उसे (3) से गुणा करना है। इसलिए कोष्ठक वाला रूप (3(m+n)) सही है।
Login to save your score, XP, coins and progress. Login
\(9x^2y\) में संख्यात्मक गुणांक क्या है?
What is the numerical coefficient in \(9x^2y\)?
#algebraic-expressions
#numerical-coefficient
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2y\)
B (9)
C (2)
D (9x)
Explanation opens after your attempt
Step 1
Concept
The numerical coefficient is the number multiplying the variable part. In \(9x^2y\), this number is (9).
Step 2
Why this answer is correct
The correct answer is B. (9). The numerical coefficient is the number multiplying the variable part. In \(9x^2y\), this number is (9).
Step 3
Exam Tip
संख्यात्मक गुणांक वह संख्या है जो चर भाग से गुणा होती है। \(9x^2y\) में यह संख्या (9) है।
Login to save your score, XP, coins and progress. Login
\(4r^2-6r^2+5r\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(4r^2-6r^2+5r\)?
#algebraic-expressions
#combine-like-terms
#squares
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(10r^2+5r\)
B \(-2r^2+5r\)
C (3r)
D \(-2r^2-5r\)
Explanation opens after your attempt
Correct Answer
B. \(-2r^2+5r\)
Step 1
Concept
\(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.
Step 2
Why this answer is correct
The correct answer is B. \(-2r^2+5r\). \(4r^2\) and \(-6r^2\) are like terms and their sum is \(-2r^2\). The term (5r) remains separate.
Step 3
Exam Tip
\(4r^2\) और \(-6r^2\) समान पद हैं और उनका योग \(-2r^2\) है। (5r) अलग पद रहता है।
Login to save your score, XP, coins and progress. Login
कौन-सा जोड़ा समान पदों का है?
Which pair consists of like terms?
#algebraic-expressions
#like-terms
#variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7ab) और (-2ab) / (7ab) and (-2ab)
B (7a) और (7b) / (7a) and (7b)
C \(a^2b\) और \(ab^2\) / \(a^2b\) and \(ab^2\)
D (3xy) और (3xz) / (3xy) and (3xz)
Explanation opens after your attempt
Correct Answer
A. (7ab) और (-2ab) / (7ab) and (-2ab)
Step 1
Concept
(7ab) and (-2ab) have the same variable part (ab). Coefficients may be different.
Step 2
Why this answer is correct
The correct answer is A. (7ab) और (-2ab) / (7ab) and (-2ab). (7ab) and (-2ab) have the same variable part (ab). Coefficients may be different.
Step 3
Exam Tip
(7ab) और (-2ab) में चर भाग (ab) समान है। गुणांक अलग हो सकते हैं।
Login to save your score, XP, coins and progress. Login
यदि (t=3), तो \(2t^2-t\) का मान क्या होगा?
If (t=3), what is the value of \(2t^2-t\)?
#algebraic-expressions
#value
#order-of-operations
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B (12)
C (15)
D (18)
Explanation opens after your attempt
Step 1
Concept
(2t-2 -t=2\(3^2\)-3=18-3=15). Do powers first, then multiplication, then subtraction.
Step 2
Why this answer is correct
The correct answer is C. (15). (2t-2 -t=2\(3^2\)-3=18-3=15). Do powers first, then multiplication, then subtraction.
Step 3
Exam Tip
(2t-2 -t=2\(3^2\)-3=18-3=15)। पहले घात फिर गुणा और फिर घटाव करें।
Login to save your score, XP, coins and progress. Login
(5(x+2)-2(x-1)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (5(x+2)-2(x-1))?
#algebraic-expressions
#brackets
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3x+12)
B (7x+8)
C (3x+8)
D (7x+12)
Explanation opens after your attempt
Correct Answer
A. (3x+12)
Step 1
Concept
Expanding gives (5x+10-2x+2). Combining like terms gives (3x+12).
Step 2
Why this answer is correct
The correct answer is A. (3x+12). Expanding gives (5x+10-2x+2). Combining like terms gives (3x+12).
Step 3
Exam Tip
खोलने पर (5x+10-2x+2) मिलता है। समान पद मिलाकर (3x+12) बनेगा।
Login to save your score, XP, coins and progress. Login
व्यंजक \(2x^3-5x+1\) में सबसे बड़ी घात क्या है?
What is the highest power in the expression \(2x^3-5x+1\)?
#algebraic-expressions
#highest-power
#degree-intro
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3) in \(x^3\). Identifying the highest power helps in understanding polynomials.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3) in \(x^3\). Identifying the highest power helps in understanding polynomials.
Step 3
Exam Tip
सबसे बड़ी घात \(x^3\) में (3) है। उच्चतम घात पहचानना बहुपद की समझ में मदद करता है।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (2y) से (5) अधिक को दर्शाता है?
Which expression represents (5) more than (2y)?
#algebraic-expressions
#word-to-expression
#addition
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2y-5)
B (5-2y)
C (10y)
D (2y+5)
Explanation opens after your attempt
Step 1
Concept
(5) more means adding (5) to the given expression. So (2y+5) is correct.
Step 2
Why this answer is correct
The correct answer is D. (2y+5). (5) more means adding (5) to the given expression. So (2y+5) is correct.
Step 3
Exam Tip
(5) अधिक का अर्थ दिए गए व्यंजक में (5) जोड़ना है। इसलिए (2y+5) सही है।
Login to save your score, XP, coins and progress. Login
यदि (p=-3), तो \(p^2+2p\) का मान क्या होगा?
If (p=-3), what is the value of \(p^2+2p\)?
#algebraic-expressions
#substitution
#negative-number
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3)
B (-3)
C (15)
D (6)
Explanation opens after your attempt
Step 1
Concept
((-3)2 +2(-3)=9-6=3). The square of a negative number is positive.
Step 2
Why this answer is correct
The correct answer is A. (3). ((-3)2 +2(-3)=9-6=3). The square of a negative number is positive.
Step 3
Exam Tip
((-3)2 +2(-3)=9-6=3)। ऋणात्मक संख्या का वर्ग धनात्मक होता है।
Login to save your score, XP, coins and progress. Login
\(8a^2b-3a^2b+4ab\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(8a^2b-3a^2b+4ab\)?
#algebraic-expressions
#like-terms
#multiple-variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(5a^2b+4ab\)
B (5ab+4ab)
C \(9a^2b\)
D \(11a^2b+4ab\)
Explanation opens after your attempt
Correct Answer
A. \(5a^2b+4ab\)
Step 1
Concept
\(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.
Step 2
Why this answer is correct
The correct answer is A. \(5a^2b+4ab\). \(8a^2b\) and \(-3a^2b\) are like terms. (4ab) has different powers, so it remains separate.
Step 3
Exam Tip
\(8a^2b\) और \(-3a^2b\) समान पद हैं। (4ab) की घातें अलग हैं इसलिए वह अलग रहेगा।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (x) के वर्ग और (x) के तीन गुने के अंतर को दर्शाता है?
Which expression represents the difference between the square of (x) and three times (x)?
#algebraic-expressions
#word-to-expression
#difference
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(3x-x^2\)
B \(x^2-3x\)
C \(x^2+3x\)
D \(3x^2-x\)
Explanation opens after your attempt
Correct Answer
B. \(x^2-3x\)
Step 1
Concept
The square of (x) is \(x^2\) and three times (x) is (3x). The difference is written as \(x^2-3x\).
Step 2
Why this answer is correct
The correct answer is B. \(x^2-3x\). The square of (x) is \(x^2\) and three times (x) is (3x). The difference is written as \(x^2-3x\).
Step 3
Exam Tip
(x) का वर्ग \(x^2\) है और (x) का तीन गुना (3x) है। अंतर के लिए \(x^2-3x\) लिखेंगे।
Login to save your score, XP, coins and progress. Login
\(12x^2y\) में चर भाग कौन-सा है?
What is the variable part in \(12x^2y\)?
#algebraic-expressions
#variable-part
#coefficient
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (12)
B \(x^2y\)
C (12x)
D (y)
Explanation opens after your attempt
Correct Answer
B. \(x^2y\)
Step 1
Concept
The number (12) is the coefficient and \(x^2y\) is the variable part. Split the term into number and variable parts.
Step 2
Why this answer is correct
The correct answer is B. \(x^2y\). The number (12) is the coefficient and \(x^2y\) is the variable part. Split the term into number and variable parts.
Step 3
Exam Tip
संख्या (12) गुणांक है और \(x^2y\) चर भाग है। पद को संख्या और चर भाग में बाँटकर देखें।
Login to save your score, XP, coins and progress. Login
(4m-(2m-7)) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (4m-(2m-7))?
#algebraic-expressions
#brackets
#minus-sign
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2m-7)
B (6m-7)
C (2m+7)
D (6m+7)
Explanation opens after your attempt
Step 1
Concept
The minus sign before the bracket changes the signs of both terms inside. Thus (4m-2m+7=2m+7).
Step 2
Why this answer is correct
The correct answer is C. (2m+7). The minus sign before the bracket changes the signs of both terms inside. Thus (4m-2m+7=2m+7).
Step 3
Exam Tip
घटाव का चिन्ह कोष्ठक के अंदर के दोनों पदों के चिन्ह बदलता है। इसलिए (4m-2m+7=2m+7)।
Login to save your score, XP, coins and progress. Login
\(x+x^2+2x\) को समान पद मिलाकर कैसे लिखेंगे?
How will \(x+x^2+2x\) be written after combining like terms?
#algebraic-expressions
#combine-like-terms
#powers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+3x\)
B \(3x^2\)
C (4x)
D \(x^3+2x\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+3x\)
Step 1
Concept
(x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+3x\). (x) and (2x) are like terms and their sum is (3x). \(x^2\) remains a separate term.
Step 3
Exam Tip
(x) और (2x) समान पद हैं और उनका योग (3x) है। \(x^2\) अलग पद रहेगा।
Login to save your score, XP, coins and progress. Login
किस व्यंजक में \(x^2\) का गुणांक (-4) है?
In which expression is the coefficient of \(x^2\) equal to (-4)?
#algebraic-expressions
#coefficient
#negative
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4x^2-1\)
B \(x^2-4\)
C \(4-x^2\)
D \(-4x^2+7\)
Explanation opens after your attempt
Correct Answer
D. \(-4x^2+7\)
Step 1
Concept
In \(-4x^2+7\), \(x^2\) is multiplied by (-4). A coefficient is taken with its sign.
Step 2
Why this answer is correct
The correct answer is D. \(-4x^2+7\). In \(-4x^2+7\), \(x^2\) is multiplied by (-4). A coefficient is taken with its sign.
Step 3
Exam Tip
\(-4x^2+7\) में \(x^2\) के साथ (-4) गुणा हो रहा है। गुणांक चिन्ह सहित लिया जाता है।
Login to save your score, XP, coins and progress. Login
यदि (x=2) और (y=3), तो (xy+x) का मान क्या होगा?
If (x=2) and (y=3), what is the value of (xy+x)?
#algebraic-expressions
#substitution
#product
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8)
B (6)
C (5)
D (11)
Explanation opens after your attempt
Step 1
Concept
\(xy+x=2\cdot3+2=8\). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is A. (8). \(xy+x=2\cdot3+2=8\). Multiply first and then add.
Step 3
Exam Tip
\(xy+x=2\cdot3+2=8\)। पहले गुणा करें और फिर जोड़ें।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (2a-3b+5a-b) के बराबर है?
Which expression is equal to (2a-3b+5a-b)?
#algebraic-expressions
#equivalent-expression
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7a-2b)
B (7a-4b)
C (3a-4b)
D (7ab-4)
Explanation opens after your attempt
Correct Answer
B. (7a-4b)
Step 1
Concept
(2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.
Step 2
Why this answer is correct
The correct answer is B. (7a-4b). (2a+5a=7a) and (-3b-b=-4b). Combine like terms separately.
Step 3
Exam Tip
(2a+5a=7a) और (-3b-b=-4b)। समान पदों को अलग-अलग जोड़ें।
Login to save your score, XP, coins and progress. Login
व्यंजक \(3x^2y+4xy^2-5\) में कितने चर प्रयुक्त हुए हैं?
How many variables are used in the expression \(3x^2y+4xy^2-5\)?
#algebraic-expressions
#variables
#count
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The distinct variables in this expression are (x) and (y). Changing powers does not create a new variable.
Step 2
Why this answer is correct
The correct answer is B. (2). The distinct variables in this expression are (x) and (y). Changing powers does not create a new variable.
Step 3
Exam Tip
इस व्यंजक में अलग-अलग चर (x) और (y) हैं। घात बदलने से नया चर नहीं बनता।
Login to save your score, XP, coins and progress. Login
(7(z-1)+2) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (7(z-1)+2)?
#algebraic-expressions
#expansion
#constant
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7z-5)
B (7z-9)
C (9z-7)
D (7z+9)
Explanation opens after your attempt
Step 1
Concept
(7(z-1)=7z-7), and adding (2) gives (7z-5). Add constant terms after expanding brackets.
Step 2
Why this answer is correct
The correct answer is A. (7z-5). (7(z-1)=7z-7), and adding (2) gives (7z-5). Add constant terms after expanding brackets.
Step 3
Exam Tip
(7(z-1)=7z-7) और फिर (2) जोड़ने पर (7z-5) मिलता है। कोष्ठक खोलने के बाद स्थिर पद जोड़ें।
Login to save your score, XP, coins and progress. Login
कौन-सा विकल्प असमान पदों का सही उदाहरण है?
Which option is a correct example of unlike terms?
#algebraic-expressions
#unlike-terms
#powers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4c) और (-9c) / (4c) and (-9c)
B (6uv) और (2uv) / (6uv) and (2uv)
C \(5s^2\) और (5s) / \(5s^2\) and (5s)
D (3) और (-8) / (3) and (-8)
Explanation opens after your attempt
Correct Answer
C. \(5s^2\) और (5s) / \(5s^2\) and (5s)
Step 1
Concept
In \(5s^2\) and (5s), the power of (s) is different. So they are unlike terms.
Step 2
Why this answer is correct
The correct answer is C. \(5s^2\) और (5s) / \(5s^2\) and (5s). In \(5s^2\) and (5s), the power of (s) is different. So they are unlike terms.
Step 3
Exam Tip
\(5s^2\) और (5s) में (s) की घात अलग है। इसलिए ये असमान पद हैं।
Login to save your score, XP, coins and progress. Login
यदि (k=4), तो \(k^2-2k+3\) का मान क्या होगा?
If (k=4), what is the value of \(k^2-2k+3\)?
#algebraic-expressions
#evaluation
#quadratic-expression
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (7)
B (9)
C (11)
D (15)
Explanation opens after your attempt
Step 1
Concept
(42 -2(4)+3=16-8+3=11). Do not forget the order of operations while evaluating.
Step 2
Why this answer is correct
The correct answer is C. (11). (42 -2(4)+3=16-8+3=11). Do not forget the order of operations while evaluating.
Step 3
Exam Tip
(42 -2(4)+3=16-8+3=11)। मान निकालते समय क्रियाओं का क्रम न भूलें।
Login to save your score, XP, coins and progress. Login
\(a^2+a+a^2+3\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(a^2+a+a^2+3\)?
#algebraic-expressions
#simplification
#powers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2a^2+a+3\)
B \(3a^2+3\)
C \(2a^3+3\)
D \(a^2+2a+3\)
Explanation opens after your attempt
Correct Answer
A. \(2a^2+a+3\)
Step 1
Concept
The two \(a^2\) terms combine to make \(2a^2\). (a) and (3) remain separate.
Step 2
Why this answer is correct
The correct answer is A. \(2a^2+a+3\). The two \(a^2\) terms combine to make \(2a^2\). (a) and (3) remain separate.
Step 3
Exam Tip
दो \(a^2\) पद मिलकर \(2a^2\) बनते हैं। (a) और (3) अलग रहते हैं।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (-3) को (x) से गुणा करके (8) जोड़ने को दर्शाता है?
Which expression represents multiplying (x) by (-3) and then adding (8)?
#algebraic-expressions
#word-to-expression
#negative-coefficient
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3x+8)
B (-3x+8)
C (8x-3)
D (-3(x+8))
Explanation opens after your attempt
Correct Answer
B. (-3x+8)
Step 1
Concept
First the product of (-3) and (x) is (-3x). Then adding (8) gives (-3x+8).
Step 2
Why this answer is correct
The correct answer is B. (-3x+8). First the product of (-3) and (x) is (-3x). Then adding (8) gives (-3x+8).
Step 3
Exam Tip
पहले (-3) और (x) का गुणनफल (-3x) है। फिर (8) जोड़ने पर (-3x+8) मिलता है।
Login to save your score, XP, coins and progress. Login
\(2x^2-3x+5x^2-x\) का सरल रूप क्या है?
What is the simplified form of \(2x^2-3x+5x^2-x\)?
#algebraic-expressions
#like-terms
#simplify-polynomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(7x^2-4x\)
B \(7x^2+2x\)
C \(3x^2-4x\)
D \(7x^3-4\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2-4x\)
Step 1
Concept
\(2x^2+5x^2=7x^2\) and (-3x-x=-4x). Combine terms with the same powers.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2-4x\). \(2x^2+5x^2=7x^2\) and (-3x-x=-4x). Combine terms with the same powers.
Step 3
Exam Tip
\(2x^2+5x^2=7x^2\) और (-3x-x=-4x)। समान घात वाले पदों को मिलाएँ।
Login to save your score, XP, coins and progress. Login
(3a(2a-1)) को खोलने पर क्या मिलेगा?
What is obtained by expanding (3a(2a-1))?
#algebraic-expressions
#expansion
#monomial-product
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (6a-3a)
B \(6a^2-3a\)
C \(5a^2-1\)
D \(6a^2+3a\)
Explanation opens after your attempt
Correct Answer
B. \(6a^2-3a\)
Step 1
Concept
Multiply (3a) by both (2a) and (-1). The result is \(6a^2-3a\).
Step 2
Why this answer is correct
The correct answer is B. \(6a^2-3a\). Multiply (3a) by both (2a) and (-1). The result is \(6a^2-3a\).
Step 3
Exam Tip
(3a) को (2a) और (-1) दोनों से गुणा करें। परिणाम \(6a^2-3a\) है।
Login to save your score, XP, coins and progress. Login
किस व्यंजक में स्थिर पद नहीं है?
Which expression has no constant term?
#algebraic-expressions
#constant-term
#identification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+3\)
B (4y-7)
C (5mn+2m)
D (9-z)
Explanation opens after your attempt
Correct Answer
C. (5mn+2m)
Step 1
Concept
Every term in (5mn+2m) has a variable. Therefore, there is no separate constant term.
Step 2
Why this answer is correct
The correct answer is C. (5mn+2m). Every term in (5mn+2m) has a variable. Therefore, there is no separate constant term.
Step 3
Exam Tip
(5mn+2m) के हर पद में चर है। इसलिए अलग स्थिर पद नहीं है।
Login to save your score, XP, coins and progress. Login
यदि (u=1) और (v=-2), तो \(4u+v^2\) का मान क्या होगा?
If (u=1) and (v=-2), what is the value of \(4u+v^2\)?
#algebraic-expressions
#substitution
#two-variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
(4(1)+(-2)2 =4+4=8). The square of a negative number is positive.
Step 2
Why this answer is correct
The correct answer is D. (8). (4(1)+(-2)2 =4+4=8). The square of a negative number is positive.
Step 3
Exam Tip
(4(1)+(-2)2 =4+4=8)। ऋणात्मक संख्या का वर्ग धनात्मक होता है।
Login to save your score, XP, coins and progress. Login
(x) और (y) के अंतर के दोगुने का व्यंजक कौन-सा है?
Which expression represents twice the difference of (x) and (y)?
#algebraic-expressions
#word-to-expression
#brackets
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x-y)
B (x-2y)
C (2(x-y))
D (2xy)
Explanation opens after your attempt
Correct Answer
C. (2(x-y))
Step 1
Concept
First form the difference (x-y), then take twice of it. So (2(x-y)) is correct.
Step 2
Why this answer is correct
The correct answer is C. (2(x-y)). First form the difference (x-y), then take twice of it. So (2(x-y)) is correct.
Step 3
Exam Tip
पहले अंतर (x-y) बनता है फिर उसका दोगुना लेते हैं। इसलिए (2(x-y)) सही है।
Login to save your score, XP, coins and progress. Login
\(10q^2-4q+q^2+6q\) को सरल करने पर कौन-सा व्यंजक बनेगा?
Which expression is formed after simplifying \(10q^2-4q+q^2+6q\)?
#algebraic-expressions
#combine-like-terms
#quadratic
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(11q^2+2q\)
B \(9q^2+2q\)
C \(11q^2-10q\)
D \(12q^3\)
Explanation opens after your attempt
Correct Answer
A. \(11q^2+2q\)
Step 1
Concept
\(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.
Step 2
Why this answer is correct
The correct answer is A. \(11q^2+2q\). \(10q^2+q^2=11q^2\) and (-4q+6q=2q). Combine terms according to their powers.
Step 3
Exam Tip
\(10q^2+q^2=11q^2\) और (-4q+6q=2q)। घात के आधार पर पद मिलाएँ।
Login to save your score, XP, coins and progress. Login
कौन-सा कथन (0) गुणांक के बारे में सही है?
Which statement about coefficient (0) is correct?
#algebraic-expressions
#zero-coefficient
#basics
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (0x) का मान (x) होता है / The value of (0x) is (x)
B (0x) का मान (0) होता है / The value of (0x) is (0)
C (0x) का मान (1) होता है / The value of (0x) is (1)
D (0x) हमेशा द्विपदी है / (0x) is always a binomial
Explanation opens after your attempt
Correct Answer
B. (0x) का मान (0) होता है / The value of (0x) is (0)
Step 1
Concept
Multiplying any number or variable by (0) gives (0). Therefore, (0x=0).
Step 2
Why this answer is correct
The correct answer is B. (0x) का मान (0) होता है / The value of (0x) is (0). Multiplying any number or variable by (0) gives (0). Therefore, (0x=0).
Step 3
Exam Tip
किसी भी संख्या या चर को (0) से गुणा करने पर (0) मिलता है। इसलिए (0x=0) है।
Login to save your score, XP, coins and progress. Login
(5x-2(3x-4)) का सरल रूप क्या है?
What is the simplified form of (5x-2(3x-4))?
#algebraic-expressions
#brackets
#negative-distribution
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (x-8)
B (-x+8)
C (11x-8)
D (-x-8)
Explanation opens after your attempt
Step 1
Concept
(-2(3x-4)=-6x+8), so (5x-6x+8=-x+8). Pay attention to negative multiplication outside brackets.
Step 2
Why this answer is correct
The correct answer is B. (-x+8). (-2(3x-4)=-6x+8), so (5x-6x+8=-x+8). Pay attention to negative multiplication outside brackets.
Step 3
Exam Tip
(-2(3x-4)=-6x+8), इसलिए (5x-6x+8=-x+8)। कोष्ठक के बाहर ऋणात्मक गुणन पर ध्यान दें।
Login to save your score, XP, coins and progress. Login
व्यंजक \(2x^2y^3\) में (y) की घात क्या है?
What is the power of (y) in the expression \(2x^2y^3\)?
#algebraic-expressions
#powers
#variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (3)
C (5)
D (1)
Explanation opens after your attempt
Step 1
Concept
The power written on (y) is (3). Powers of different variables are checked separately.
Step 2
Why this answer is correct
The correct answer is B. (3). The power written on (y) is (3). Powers of different variables are checked separately.
Step 3
Exam Tip
(y) के ऊपर लिखी घात (3) है। अलग-अलग चर की घात अलग देखी जाती है।
Login to save your score, XP, coins and progress. Login
कौन-सा व्यंजक (x) के आधे और (7) के योग को दर्शाता है?
Which expression represents the sum of half of (x) and (7)?
#algebraic-expressions
#word-to-expression
#fraction
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x+7)
B (x+14)
C \(\frac{x}{2}+7\)
D \(7-\frac{x}{2}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{x}{2}+7\)
Step 1
Concept
Half of (x) is \(\frac{x}{2}\), and (7) must be added to it. So \(\frac{x}{2}+7\) is correct.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{x}{2}+7\). Half of (x) is \(\frac{x}{2}\), and (7) must be added to it. So \(\frac{x}{2}+7\) is correct.
Step 3
Exam Tip
(x) का आधा \(\frac{x}{2}\) है और उसमें (7) जोड़ना है। इसलिए \(\frac{x}{2}+7\) सही है।
Login to save your score, XP, coins and progress. Login
यदि (x=5), तो \(\frac{x+3}{2}\) का मान क्या होगा?
If (x=5), what is the value of \(\frac{x+3}{2}\)?
#algebraic-expressions
#substitution
#fraction
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4)
B (5)
C (6)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\). Simplify the numerator first in a fraction.
Step 2
Why this answer is correct
The correct answer is A. (4). \(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\). Simplify the numerator first in a fraction.
Step 3
Exam Tip
\(\frac{x+3}{2}=\frac{5+3}{2}=\frac{8}{2}=4\)। भिन्न में पहले अंश को सरल करें।
Login to save your score, XP, coins and progress. Login
(3x+2y-x+5y) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying (3x+2y-x+5y)?
#algebraic-expressions
#simplification
#two-variables
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x+7y)
B (4x+7y)
C (2x-3y)
D (9xy)
Explanation opens after your attempt
Correct Answer
A. (2x+7y)
Step 1
Concept
(3x-x=2x) and (2y+5y=7y). Combine terms with different variables separately.
Step 2
Why this answer is correct
The correct answer is A. (2x+7y). (3x-x=2x) and (2y+5y=7y). Combine terms with different variables separately.
Step 3
Exam Tip
(3x-x=2x) और (2y+5y=7y)। अलग-अलग चर वाले पदों को अलग जोड़ें।
Login to save your score, XP, coins and progress. Login
कौन-सा विकल्प (2(x+4)) के बराबर नहीं है?
Which option is not equal to (2(x+4))?
#algebraic-expressions
#equivalent-expression
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x+8)
B (8+2x)
C (2x+4)
D \(2\cdot x+2\cdot4\)
Explanation opens after your attempt
Step 1
Concept
Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).
Step 2
Why this answer is correct
The correct answer is C. (2x+4). Expanding (2(x+4)) gives (2x+8). In (2x+4), (4) has not been multiplied by (2).
Step 3
Exam Tip
(2(x+4)) खोलने पर (2x+8) मिलता है। (2x+4) में (4) को (2) से गुणा नहीं किया गया।
Login to save your score, XP, coins and progress. Login
\(a^2b\) और \(ab^2\) को समान पद बनाने के लिए कौन-सी शर्त चाहिए?
What condition is needed for \(a^2b\) and \(ab^2\) to be like terms?
#algebraic-expressions
#like-terms
#condition
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A केवल गुणांक समान हों / Only coefficients must be same
B चर भाग बिल्कुल समान हो / Variable parts must be exactly same
C दोनों में केवल (a) हो / Both must contain only (a)
D दोनों में स्थिर पद हो / Both must have constant terms
Explanation opens after your attempt
Correct Answer
B. चर भाग बिल्कुल समान हो / Variable parts must be exactly same
Step 1
Concept
For like terms, variables and their powers must be exactly the same. Here swapped powers make the terms unlike.
Step 2
Why this answer is correct
The correct answer is B. चर भाग बिल्कुल समान हो / Variable parts must be exactly same. For like terms, variables and their powers must be exactly the same. Here swapped powers make the terms unlike.
Step 3
Exam Tip
समान पदों के लिए चर और उनकी घातें बिल्कुल समान होनी चाहिए। यहाँ घातों की अदला-बदली से पद असमान हैं।
Login to save your score, XP, coins and progress. Login
यदि (n=-1), तो \(4n^2+3n-2\) का मान क्या होगा?
If (n=-1), what is the value of \(4n^2+3n-2\)?
#algebraic-expressions
#evaluation
#negative-substitution
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1)
B (-1)
C (5)
D (-9)
Explanation opens after your attempt
Step 1
Concept
(4(-1)2 +3(-1)-2=4-3-2=-1). Use brackets while substituting a negative value.
Step 2
Why this answer is correct
The correct answer is B. (-1). (4(-1)2 +3(-1)-2=4-3-2=-1). Use brackets while substituting a negative value.
Step 3
Exam Tip
(4(-1)2 +3(-1)-2=4-3-2=-1)। ऋणात्मक मान रखते समय कोष्ठक उपयोग करें।
Login to save your score, XP, coins and progress. Login
(2ab+3ab-4a) में कौन-सा पद (ab) का समान पद नहीं है?
In (2ab+3ab-4a), which term is not a like term of (ab)?
#algebraic-expressions
#like-terms
#identification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2ab)
B (3ab)
C (-4a)
D (5ab)
Explanation opens after your attempt
Step 1
Concept
(-4a) has only (a), while (ab) has both (a) and (b). So it is not a like term.
Step 2
Why this answer is correct
The correct answer is C. (-4a). (-4a) has only (a), while (ab) has both (a) and (b). So it is not a like term.
Step 3
Exam Tip
(-4a) में केवल (a) है जबकि (ab) में (a) और (b) दोनों हैं। इसलिए यह समान पद नहीं है।
Login to save your score, XP, coins and progress. Login
किस व्यंजक का सरल रूप (6x-9) है?
Which expression has the simplified form (6x-9)?
#algebraic-expressions
#expansion
#equivalent-form
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (3(2x-3))
B (2(3x+9))
C (6(x-9))
D (9(6x-1))
Explanation opens after your attempt
Correct Answer
A. (3(2x-3))
Step 1
Concept
(3(2x-3)=6x-9). Expand the bracket to check the option.
Step 2
Why this answer is correct
The correct answer is A. (3(2x-3)). (3(2x-3)=6x-9). Expand the bracket to check the option.
Step 3
Exam Tip
(3(2x-3)=6x-9)। कोष्ठक खोलकर विकल्प जाँचें।
Login to save your score, XP, coins and progress. Login
\(x^2-2x+4-x^2+5x\) को सरल करने पर क्या मिलेगा?
What is obtained after simplifying \(x^2-2x+4-x^2+5x\)?
#algebraic-expressions
#cancellation
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(2x^2+3x+4\)
B (3x+4)
C (7x+4)
D (3x-4)
Explanation opens after your attempt
Step 1
Concept
\(x^2-x^2=0\) and (-2x+5x=3x). Therefore, the simplified form is (3x+4).
Step 2
Why this answer is correct
The correct answer is B. (3x+4). \(x^2-x^2=0\) and (-2x+5x=3x). Therefore, the simplified form is (3x+4).
Step 3
Exam Tip
\(x^2-x^2=0\) और (-2x+5x=3x)। इसलिए सरल रूप (3x+4) है।
Login to save your score, XP, coins and progress. Login
