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Class 8 Exam  >  Class 8 Tests  >  Test: Linear Equations- 1 - Class 8 MCQ

Test: Linear Equations- 1 - Class 8 MCQ


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10 Questions MCQ Test - Test: Linear Equations- 1

Test: Linear Equations- 1 for Class 8 2024 is part of Class 8 preparation. The Test: Linear Equations- 1 questions and answers have been prepared according to the Class 8 exam syllabus.The Test: Linear Equations- 1 MCQs are made for Class 8 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Linear Equations- 1 below.
Solutions of Test: Linear Equations- 1 questions in English are available as part of our course for Class 8 & Test: Linear Equations- 1 solutions in Hindi for Class 8 course. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free. Attempt Test: Linear Equations- 1 | 10 questions in 10 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study for Class 8 Exam | Download free PDF with solutions
Test: Linear Equations- 1 - Question 1
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Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?

Detailed Solution for Test: Linear Equations- 1 - Question 1

Seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 gm
So, total weight of the cake = (20×6) = 120gm.
If one half is 120 gm, then so is the other. Therefore the total weight of the cake is 120*2= 240 gm.

Test: Linear Equations- 1 - Question 2
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Solve 2x − 3 = x + 2

Detailed Solution for Test: Linear Equations- 1 - Question 2

Given, 2x - 3 = x + 2
Transposing 'x' to L.H.S
⇒ 2x - x - 3 = 2
⇒ x - 3 = 2
Transposing '3' to R.H.S
⇒ x = 2 + 3
⇒ x = 5.
Therefore, option (b) is the correct answer.

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Test: Linear Equations- 1 - Question 3
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Solve: 5x−2(2x−7) = 2(3x−1)+7/2

Detailed Solution for Test: Linear Equations- 1 - Question 3

Given equation is 5x−2(2x−7) = 2(3x−1)+7/2

after opening the brackets
5x-4x+14 = 6x-2+7/2
taking x to one side constants to other side
6x+4x-5x=14+2-7/2
or 5x = 16-7/2
or 5x = (32-7)/2
or 5x = 25/2
or x = 25/10
or x = 5/2 (answer)

Test: Linear Equations- 1 - Question 4
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Find the solution of 2x - 3 = 7 
Detailed Solution for Test: Linear Equations- 1 - Question 4

Given, 2x-3=7
Transposing -3 to R.H.S
2x=7+3
⇒ 2x=10
Transposing '2' to R.H.S, we get
x=10/2
⇒ x=5.
Therefore, the correct option is c.

Test: Linear Equations- 1 - Question 5
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The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
Detailed Solution for Test: Linear Equations- 1 - Question 5

Let the unit digit be x
Tens digit =  x+3
Therefore, the number formed = 10(x+3)+x ∵ Two digit no = 10 * tens digit + unit digit

 When digits are interchanged i.e
Unit digit = x+3
Tens digit = x
Therefore, the number formed by interchanging the digits is
10x + x + 3
Now, According to question

⇒ 10 (x+3) + x + 10x + x + 3  =143
⇒  10x + 30 + 12x + 3 = 143
⇒  22x + 33 = 143
Transposing '33' to R.H.S, we get
22x = 143−33
⇒ 22x=110
Transposing '22' to L.H.S, we get
 x=110/22
⇒ x=5

Therefore, Original number = 10(5+3) + 5 = 85

Test: Linear Equations- 1 - Question 6
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Solve 2y + 9 = 4.
Detailed Solution for Test: Linear Equations- 1 - Question 6

Given, 2y + 9 =4
Transposing '9' to R.H.S, we get
2y = 4-9
⇒ 2y = -5
Therefore, y = -5/2
Hence, option 'A' is correct.

Test: Linear Equations- 1 - Question 7
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The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?
Detailed Solution for Test: Linear Equations- 1 - Question 7

Let the two given numbers be 5x and 2x
According to question ,
5x - 2x = 66
3x = 66
Transposing '3' to R.H.S, we get
x = 66/3
⇒ x = 22

So, 2x = 2 x 22 = 44
& 5x = 5 x 22 = 110

Hence, Option 'C' is the Correct answer. 

Test: Linear Equations- 1 - Question 8
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An algebraic equation is an _________ involving variables.
Detailed Solution for Test: Linear Equations- 1 - Question 8

An algebraic equation is an equality that involves variables. It states that two expressions are equal to each other, typically connected by an equals sign =. For example, in the equation 2x+3=7, the expression 2x+3 is equal to 7. The equation shows the relationship between the variable x and the constants.

Test: Linear Equations- 1 - Question 9
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Solve: 3x = 12
Detailed Solution for Test: Linear Equations- 1 - Question 9

Given, 3x = 12
Transposing '3' to R.H.S, we get
x = 12/3
⇒ x = 4

or
Divide both sides by '3' to get the value of x
3x/3 = 12/3 
⇒ x = 4

Test: Linear Equations- 1 - Question 10
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Solve the following linear equations:
 4x + 5 = 9
Detailed Solution for Test: Linear Equations- 1 - Question 10

We have 4x + 5 = 9
⇒ 4x = 9 – 5 (Transposing 5 to RHS)
⇒ 4x = 4
⇒ x = 1 (Transposing 4 to RHS)

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