Class 8 Maths Chapter 2 (Linear Equations in One Variable) MCQs are available online here for students. These objective questions are designed as per CBSE board syllabus (2020-2021) and NCERT guidelines. The chapter-wise questions are provided here for students to make them understand each concept and help to score better marks in exams. Also, learn important questions for class 8 Maths here at BYJU’S.
MCQs on Class 8 Linear Equations in One Variable
Multiple choice questions (MCQs) are available for Class 8 Linear Equations in One Variable with each problem consisting of four options, out of which one is the correct answer. Students have to solve the problem and select the correct answer. Verify your solution with the answers provided here.
1. Which of the following is not a linear equation in one variable?
A. 33z+5
B. 33(x+y)
C. 33x+5
D. 33y+5
Answer: B
Explanation: In 33(x+y), x and y are two variables.
2. The solution of 2x-3=7 is:
A. 5
B. 7
C. 12
D. 11
Answer: A
Explanation: 2x-3=7
2x=7+3=10
x=10/2 = 5
3. The solution of 2y + 9 = 4 is:
A. 9/2
B. 4/9
C. -⅖
D. -5/2
Answer: D
Explanation: 2y+9 = 4
2y = 4-9 = -5
y=-5/2
4. The solution of y/5 = 10 is:
A. 15
B. 10
C. 50
D. 5
Answer: C
Explanation: y/5 = 10
y = 5×10 = 50
5. What should be added to -7/3 to get 3/7?
A. 21/58
B. 58/21
C. 47/21
D. 50/21
Answer: B
Explanation: Let the number be x
-7/3+x = 3/7
x=3/7+7/3 = (9+49)/21 = 58/21
6. The perimeter of the rectangle is 20cm. If the length of the rectangle is 6cm, then its breadth will be:
A. 4 cm
B. 6 cm
C. 10 cm
D. 14 cm
Answer: A
Explanation: Perimeter of rectangle = 2(Length+Breadth)
20 = 2(6+x)
6+x = 20/2
6+x = 10
x = 10-6
x=4 cm
7. The age of the father is three times the age of the son. If the age of the son is 15 years old, then the age of the father is:
A. 50 years
B. 55 years
C. 40 years
D. 45 years
Answer: D
Explanation: Let the age of the father is x
Given: x = 3 × (age of son) = 3 × (15) = 45 years
8. The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:
A. 60 and 6
B. 100 and 33
C. 110 and 44
D. 99 and 33
Answer: C
Explanation: Let the two numbers be 2x and 5x since they are in the ratio of 2:5.
The difference between 5x and 2x = 66
5x – 2x = 66
3x = 66
x = 22
Hence, 2x = 2(22) = 44 and 5x = 5(22) = 110.
9. Three consecutive integers add up to 51. The integers are:
A. 16,17,18
B. 15,16,17
C. 17,18,19
D. 18,19,20
Answer: A
Explanation: Let the three consecutive integers be x, x+1, x+2
x+(x+1)+(x+2) = 51
3x+3 = 51
3x = 51 – 3
x = 48/3 = 16
x+1 = 16+1=17
x+2 = x+2 = 18
10. The solution for 3m = 5m – (8/5) is:
A. 8/5
B. ⅘
C. 5/4
D. 4/3
Answer: B
Explanation: 3m = 5m – (8/5)
8/5 = 5m – 3m
2m = 8/5
m = 8/10 = 4/5
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It was really helpful.. The questions too were very nice but why in the last question i.e 10th question -8/5 became 8/5…?? Where did the minus sign gone..??
The sign of the number changes when we move it from one side of the equality sign (=) to the other side.
Here, -8/5 is moved from Right-hand side to left-hand side, thus it became positive whereas ‘3m’ is moved from LHS to RHS and it became negative.
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