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Quiz Chapter 6: Linear Equations

10 questions ยท Form 1 Mathematics Bab 6: Linear Equations

Question 1 of 10Score: 0

Form a linear equation: 'When 6 is subtracted from 3 times a number n, the result is 15.'

Full Question List & Answer Key

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1. Form a linear equation: 'When 6 is subtracted from 3 times a number n, the result is 15.'

  1. 3n - 6 = 15
  2. 6 - 3n = 15
  3. 3(n - 6) = 15
  4. n3 - 6 = 15
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Answer: A

'3 times a number n' is 3n. Subtracting 6 yields 3n - 6 = 15.

2. Solve: (25)m = 8

  1. 20
  2. 16
  3. 10
  4. 3.2
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Answer: A

m = 8 x (52) = 402 = 20.

3. Which ordered pair is a solution to x + 2y = 8?

  1. (2, 3)
  2. (4, 1)
  3. (0, 8)
  4. (3, 2)
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Answer: A

Test (2, 3): 2 + 2(3) = 2 + 6 = 8, which satisfies the equation.

4. The sum of two numbers is 25 and their difference is 7. What is the larger number?

  1. 16
  2. 18
  3. 9
  4. 12
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Answer: A

x + y = 25 and x - y = 7. Add equations: 2x = 32 -> x = 16 (larger number). Y = 9.

5. If (3, k) is a solution to the equation 2x + y = 10, find the value of k.

  1. 4
  2. 16
  3. 2
  4. 6
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Answer: A

Substitute x = 3 and y = k: 2(3) + k = 10 -> 6 + k = 10 -> k = 4.

6. Solve: x3 + 4 = 7

  1. 9
  2. 1
  3. 3
  4. 33
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Answer: A

x3 = 7 - 4 -> x3 = 3 -> x = 9.

7. Solve: 3x + 2 = x + 10

  1. 4
  2. 3
  3. 6
  4. 2
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Answer: A

3x - x = 10 - 2 -> 2x = 8 -> x = 4.

8. Which of the following is a linear equation in ONE variable?

  1. 3x + 5 = 14
  2. x2 - 4 = 0
  3. 2x + 3y = 7
  4. xy = 12
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Answer: A

3x + 5 = 14 has only one variable (x) and its highest power is 1, making it a linear equation in one variable.

9. In a graph of simultaneous linear equations, what does the point of intersection represent?

  1. The unique solution to both simultaneous equations
  2. The y-intercept of the first line
  3. The x-intercept of the second line
  4. The point where both variables are zero
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Answer: A

The intersection point (x, y) is the common point satisfying both linear equations simultaneously.

10. Solve for y: y + 32 = 5

  1. 7
  2. 13
  3. 4
  4. 10
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Answer: A

y + 3 = 5 x 2 -> y + 3 = 10 -> y = 7.

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