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Simultaneous (Linear) Equations

ICSE · Class 9 · Mathematics

Practice quiz for Simultaneous (Linear) Equations — ICSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.

25 questions24 flashcards5 concepts

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A diagram illustrating two linear equations with two variables and their common solution point, emphasizing that they are 'simultaneous' equations.
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Quick Quiz: Simultaneous (Linear) Equations

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1

Solve the system: x + y = 8 and x - y = 2. What is the value of x?

2

Solve: 2x + 3y = 13 and 4x + 6y = 26. What can you conclude about this system?

3

Solve using cross-multiplication: 2x + 3y - 12 = 0 and x - 2y + 1 = 0. What is y?

4

If 3/x + 4/y = 2 and 9/x - 8/y = 1, find x.

25 Questions·
multiple choicemultiple correcttrue falsematchingordering

Sample Questions

1multiple correct

Using substitution method, solve: y = 2x and x + y = 9. Find the values of x and y.

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x = 3, y = 6

Substitute y = 2x into x + y = 9: x + 2x = 9 → 3x = 9 → x = 3. Then y = 2(3) = 6. Check: 3 + 6 = 9 ✓

2multiple correct

The sum of two numbers is 20 and their difference is 8. Which of the following are correct?

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The larger number is 14, The smaller number is 6, The product of numbers is 84

Let numbers be x and y where x > y. Then x + y = 20 and x - y = 8. Adding: 2x = 28 → x = 14. Subtracting: 2y = 12 → y = 6. Product = 14 × 6 = 84.

3multiple choice

In a fraction, the numerator is 3 less than the denominator. If 2 is added to both numerator and denominator, the fraction becomes 3/4. Find the original denominator.

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10

Let denominator = y, then numerator = y - 3. Original fraction = (y-3)/y. After adding 2: (y-3+2)/(y+2) = (y-1)/(y+2) = 3/4. Cross multiply: 4(y-1) = 3(y+2) → 4y - 4 = 3y + 6 → y = 10.

4true false

True or False: The system x + y = 5 and 2x + 2y = 11 has no solution.

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True

The first equation gives x + y = 5. The second equation 2x + 2y = 11 can be written as 2(x + y) = 11, or x + y = 5.5. Since x + y cannot be both 5 and 5.5 simultaneously, the system has no solution.

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Frequently Asked Questions

What are the important topics in Simultaneous (Linear) Equations for ICSE Class 9 Mathematics?
Simultaneous (Linear) Equations covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Simultaneous (Linear) Equations — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 25 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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