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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. Solve: 4(x - 2) = 12

  1. 5
  2. 3
  3. 1
  4. 7
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Answer: A

Expand or divide by 4: x - 2 = 3 -> x = 5.

2. 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.

3. 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.

4. 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.

5. 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.

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. 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.

8. Solve the simultaneous equations: 2x + y = 8 and x + y = 5

  1. x = 3, y = 2
  2. x = 2, y = 3
  3. x = 4, y = 1
  4. x = 1, y = 4
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Answer: A

Subtract the second equation from the first: (2x - x) + (y - y) = 8 - 5 -> x = 3. Then 3 + y = 5 -> y = 2.

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. 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.

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