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Quiz Chapter 6: Linear Equations

10 questions · Form 1 Mathematics Bab 6: Linear Equations

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. 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.

2. Solve: 5 - 3y = 14

  1. -3
  2. 3
  3. -193
  4. 193
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Answer: A

-3y = 14 - 5 -> -3y = 9 -> y = -3.

3. 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.

4. The length of a rectangle is 3 cm longer than its width w. If the perimeter is 26 cm, find the width w.

  1. 5 cm
  2. 8 cm
  3. 4 cm
  4. 6 cm
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Answer: A

Length = w + 3. Perimeter = 2(w + w + 3) = 26 -> 2(2w + 3) = 26 -> 4w + 6 = 26 -> 4w = 20 -> w = 5 cm.

5. Solve: 5(2 - x) = 3x - 6

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

Expand: 10 - 5x = 3x - 6 -> 10 + 6 = 3x + 5x -> 16 = 8x -> x = 2.

6. 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.

7. Solve the simultaneous equations: x + y = 10 and x - y = 4

  1. x = 7, y = 3
  2. x = 6, y = 4
  3. x = 8, y = 2
  4. x = 5, y = 5
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Answer: A

Add equations: 2x = 14 -> x = 7. Substitute x = 7: 7 + y = 10 -> y = 3.

8. The total cost of 2 notebooks and 3 pens is RM18. If a notebook costs RM x and a pen costs RM y, which linear equation represents this situation?

  1. 2x + 3y = 18
  2. 3x + 2y = 18
  3. 2x - 3y = 18
  4. x + y = 18
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Answer: A

2 notebooks = 2x, 3 pens = 3y. Total = 2x + 3y = 18.

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 the equation: 2x - 7 = 9

  1. 8
  2. 1
  3. 16
  4. 4
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Answer: A

2x = 9 + 7 -> 2x = 16 -> x = 8.

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