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Class 8 Exam  >  Class 8 Tests  >  Mathematics Class 8- New NCERT (Ganita Prakash)  >  Test: We Distribute, Yet Things Multiply - Class 8 MCQ

Test: We Distribute, Yet Things Multiply - Class 8 MCQ


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10 Questions MCQ Test Mathematics Class 8- New NCERT (Ganita Prakash) - Test: We Distribute, Yet Things Multiply

Test: We Distribute, Yet Things Multiply for Class 8 2025 is part of Mathematics Class 8- New NCERT (Ganita Prakash) preparation. The Test: We Distribute, Yet Things Multiply questions and answers have been prepared according to the Class 8 exam syllabus.The Test: We Distribute, Yet Things Multiply MCQs are made for Class 8 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: We Distribute, Yet Things Multiply below.
Solutions of Test: We Distribute, Yet Things Multiply questions in English are available as part of our Mathematics Class 8- New NCERT (Ganita Prakash) for Class 8 & Test: We Distribute, Yet Things Multiply solutions in Hindi for Mathematics Class 8- New NCERT (Ganita Prakash) course. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free. Attempt Test: We Distribute, Yet Things Multiply | 10 questions in 20 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study Mathematics Class 8- New NCERT (Ganita Prakash) for Class 8 Exam | Download free PDF with solutions
Test: We Distribute, Yet Things Multiply - Question 1
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Simplify: 8 × (25 + 15)

Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 1

8 × (25 + 15) = 8 × 25 + 8 × 15 = 200 + 120 = 320

Test: We Distribute, Yet Things Multiply - Question 2
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Simplify using distributive property: (12 + 18) × 7

Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 2

Simplify using distributive property:

To simplify the expression (12 + 18) × 7 using the distributive property, follow these steps:

  • First, apply the distributive property: (a + b) × c = a × c + b × c.
  • Here, a = 12, b = 18, and c = 7.
  • Distribute 7 to both 12 and 18:
    • 12 × 7 = 84
    • 18 × 7 = 126
  • Add the results together:
    • 84 + 126 = 210

Thus, the simplified result is 210.

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Test: We Distribute, Yet Things Multiply - Question 3
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Expand: 5(3x + 4)

Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 3

5(3x + 4) = 5 × 3x + 5 × 4 = 15x + 20

Test: We Distribute, Yet Things Multiply - Question 4
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Simplify: 9(y - 3) + 6(y + 2)
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 4

9(y - 3) = 9y - 27
6(y + 2) = 6y + 12
Total = 9y - 27 + 6y + 12 = 15y - 15

Test: We Distribute, Yet Things Multiply - Question 5
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A shopkeeper sells (10 + 5) pens in one packet. If he sells 12 such packets, how many pens does he sell?
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 5

12(10 + 5) = 12 × 15 = 180

Test: We Distribute, Yet Things Multiply - Question 6
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Expand and simplify: (x + 6)(x + 2)
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 6

(x + 6)(x + 2) = x(x + 2) + 6(x + 2)
= x2 + 2x + 6x + 12 = x2 + 8x + 12

Test: We Distribute, Yet Things Multiply - Question 7
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Simplify: 4(2a - 3b) - 5(a - 2b)
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 7

4(2a - 3b) = 8a - 12b
-5(a - 2b) = -5a + 10b
Total = 8a - 12b - 5a + 10b = 3a - 2b

Test: We Distribute, Yet Things Multiply - Question 8
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If a = 10, b = 6, evaluate: 7(a + b) - 3(a - b)

 
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 8

7(a + b) - 3(a - b) = 7a + 7b - 3a + 3b = 4a + 10b
Substitute a = 10, b = 6 → 4(10) + 10(6) = 40 + 60 = 100

Test: We Distribute, Yet Things Multiply - Question 9
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Factorize: 20x + 30y
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 9

20x + 30y = 10(2x + 3y)
= 5(4x + 6y)
= 2(10x + 15y)

Hence, all are correct.

Test: We Distribute, Yet Things Multiply - Question 10
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Verify distributive property: 6 × (15 + 5)
Detailed Solution for Test: We Distribute, Yet Things Multiply - Question 10

LHS = 6 × (15 + 5) = 6 × 20 = 120
RHS = 6 × 15 + 6 × 5 = 90 + 30 = 120
Since LHS = RHS = 120, property verified.

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