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Set 7: Linear Equations (Advanced)

Explanation

Answer: B

Solve: 20x=10020x = 100

A.

80

B.

5

✓ Correct
C.

120

D.

2000

Detailed Explanation

Choice B is correct. Choice D is the correct answer. This multiplication equation with friendly numbers makes division straightforward. 1. Start with the equation: 20x=10020x = 100 2. Divide both sides by 20: x=10020x = \frac{100}{20} 3. Simplify: x=5x = 5 4. Verify: 20(5)=10020(5) = 100 ✓ Mental Math: Think "20 times what equals 100?" Since 20×5=10020\times 5 = 100, the answer is 5. Choice A is incorrect because this results from subtracting: 10020=80100- 20 = 80. Subtraction is not the inverse of multiplication. Choice B is incorrect because this comes from adding: 100+20=120100+ 20 = 120. Addition doesn't undo multiplication. Choice D is incorrect because this results from multiplying: 100×20=2000100\times 20 = 2000. This makes the product larger instead of isolating xx.

Key Steps:

The correct answer is 5

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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