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Quiz Chapter 6: Linear Equations

10 questions ยท Form 1 Mathematics Bab 6: Linear Equations

Question 1 of 10Score: 0

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

Full Question List & Answer Key

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1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.

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