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Maths Quiz for Class 6 Linear Equations in One Variable |
In this post, you will find 20 online maths quiz questions
for class 6 linear equations in one variable. Online maths quiz will take
around 20 minutes or less to complete it.
Question 1: Which of the following is a linear equation in one variable?
A) 2x + 3y = 5
B) x – 4 > 2
C) 5x + 4 = 14
D) x2 + 5x + 8 = 2
Explanation: 5x + 4 = 14 is a linear equation in one variable.
Question 2: Which of the following is not a linear equation in one variable?
A) 3x + 1 < 4
B) x – 5 = 3
C) 2x + 4 = 12
D) 5x – 1 = 9
Explanation: 3x + 1 < 4 is not a linear equation in one variable.
Question 3: Which of the following is the solution of the equation 2x – 7 = 5?
A) x = 6
B) x = 12
C) x = -6
D) x = 1
Explanation: 2x – 7 = 5 => 2x = 5 + 7 => 2x = 12 => x = 12/6 => x = 6
Question 4: Which of the following is the solution of the equation 5x + 3 = 13?
A) x = 3
B) x = 2
C) x = -2
D) x = -3
Explanation: 5x + 3 = 13 => 5x = 13 – 3 => 5x = 10 => x = 10/5 => x = 2
Question 5: Solve the equation 2x/3 + 7 = 15 and find the value of x.
A) x = 6
B) x = 12
C) x = 24
D) x = 8
Explanation: 2x/3 + 7 = 15 => 2x/3 = 15 – 7 => 2x/3 = 8 => 2x = 8 × 3 => 2x = 24 => x = 24/2 => x = 12
Question 6: The solution of the equation 5a + 2 = 2a + 14 is _________.
A) a = 2
B) a = 3
C) a = 4
D) a = 6
Explanation: 5a + 2 = 2a + 14 => 5a – 2a = 14 – 2 => 3a = 12 => a = 12/3 => a = 4
Question 7: The solution of the equation y/2 – 3 = 1 is _________.
A) y = 2
B) y = 8
C) y = 4
D) y = 5
Explanation: y/2 – 3 = 1 => y/2 = 1 + 3 => y/2 = 4 => y = 4 × 2 => y = 8
Question 8: Solve: 9x – 1 = 8
A) x = 9
B) x = 8
C) x = 4
D) x = 1
Explanation: 9x – 1 = 8 => 9x = 8 + 1 => 9x = 9 => x = 9/9 => x = 1
Question 9: Solve the following linear equation: 5x/2 + 7 = 22
A) x = 6
B) x = 5
C) x = 12
D) x = 30
Explanation: 5x/2 + 7 = 22 => 5x/2 = 22 – 7 => 5x/2 = 15 => 5x = 15 × 2 => 5x = 30 => x = 30/5 => x = 6
Question 10: Solve the following: 7y – 3 = 4y + 12
A) y = 3
B) y = 15
C) y = 5
D) y = 4
Explanation: 7y – 3 = 4y + 12 => 7y – 4y = 12 + 3 => 3y = 15 => y = 15/3 => y = 5
Question 11: Write an algebraic equation for the statement “A number added to 4 gives 9”.
A) x + 9 = 4
B) x + 4 = 9
C) x – 4 = 9
D) 2x + 4 = 9
Explanation: Let the number be x. Then, according to the question, x + 4 = 9.
Question 12: The linear equation for the statement “three times a number added to 2 gives 11” is _____________.
A) 2x + 3 = 11
B) 3x + 2 = 11
C) 3x – 2 = 11
D) x + 2 = 11
Explanation: Let the number be x. Then three times of the number = 3x. When 3x is added to 2, we get 11. Thus, 3x + 2 = 11.
Question 13: Sonu has 5 marbles more than Monu. If the sum of the marbles of Sonu and Monu is 45, then how many marbles does Monu have?
A) 20
B) 25
C) 15
D) 30
Explanation: Let Monu has x marbles. Then Sonu has (x + 5) marbles. According to the question, x + x + 5 = 45 => 2x + 5 = 45 => 2x = 45 – 5 => 2x = 40 => x = 40/2 => x = 20. Thus, Monu has 20 marbles.
Question 14: If the sum of a number and 12 is 20, then the number is _______.
A) 5
B) 6
C) 7
D) 8
Explanation: Let the number be x. Then, according to the question, x + 12 = 20 => x = 20 – 12 => x = 8. Thus, the number is 8.
Question 15: The length of a rectangle is twice its breadth. If the perimeter of the rectangle is 36 cm, then the breadth of the rectangle is _______.
A) 4 cm
B) 5 cm
C) 6 cm
D) 8 cm
Explanation: Let the breadth of the rectangle be x cm. Then the length is 2x cm. Perimeter of the rectangle = 2(l + b). Here, perimeter = 36 cm. Therefore, 36 = 2(2x + x) => 36 = 2 × 3x => 36 = 6x => x = 36/6 => x = 6. Thus, the breadth of the rectangle is 6 cm.
Question 16: If the sum of the three consecutive numbers is 54, then the smaller number is ___________.
A) 16
B) 17
C) 18
D) 19
Explanation: Let the smaller number is x. Then the other two numbers are x + 1 and x + 2. According to the question, x + x + 1 + x + 2 = 54 => 3x + 3 = 54 => 3x = 54 – 3 => 3x = 51 => x = 51/3 => x = 17. Thus, the smaller number is 17.
Question 17: Three times of a number divided by 2 gives 6. Find the number.
A) 4
B) 6
C) 8
D) 12
Explanation: Let the number be x. Then three times of number = 3x. According to the question, 3x/2 = 6 => 3x = 6 × 2 => 3x = 12 => x = 12/3 => x = 4. Thus, the number is 4.
Question 18: A triangle has x, x + 3 and x + 2 as its sides in cm. If the perimeter of the triangle is 35 cm, then its longest side is _________.
A) 11
B) 12
C) 13
D) 14
Explanation: According to the question, x + x + 3 + x + 2 = 35 => 3x + 5 = 35 => 3x = 35 – 5 => 3x = 30 => x = 30/3 => x = 10. Then, the longest side = x + 3 = 10 + 3 = 13 cm.
Question 19: Hemant withdrew ₹ 500 from his bank account and left with ₹ 2000 in his bank. How much money was there in his bank account?
A) ₹ 2200
B) ₹ 2500
C) ₹ 2400
D) ₹ 2300
Explanation: Let he had ₹ x in his bank account. Then, according to the question, x – 500 = 2000 => x = 2000 + 500 => x = 2500. He had ₹ 2500 in his bank account.
Question 20: The age of a father is 4 times the age of his son. If the sum of their ages is 60 years, then the age of the son is __________.
A) 10 years
B) 11 years
C) 12 years
D) 15 years
Explanation: Let the age of the son be x years. Then the age of the father = 4x years. According to the question, 4x + x = 60 => 5x = 60 => x = 60/5 => x = 12. Thus, the age of the son is 12 years.
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