Set 10: Linear Equations (Intermediate)

Explanation

Answer: B

Solve for $b_1$ : $A = \frac{1}{2}h(b_1 + b_2)$

b_1 = (A / 2h) - b_2

b_1 = (2A / h) - b_2

✓ Correct

b_1 = (2A - b_2) / h

b_1 = 2A - h - b_2

Detailed Explanation

Choice B is correct. Choice Ahoice C is the correct answer. 1. Start: $A = \frac{1}{2}h(b_1 + b_2)$ 2. Multiply by 2: $2A = h(b_1 + b_2)$ 3. Divide by h: $\frac{2 A}{h} = b_1 + b_2$ 4. Subtract $b_2$ : $b_1 = \frac{2 A}{h} - b_2$ Choice Ahoice D is incorrect because order of operations error. Choice Ahoice C is incorrect because fraction error. Choice Ahoice D is incorrect because algebra error.

Key Steps:

•

The correct answer is b_1 = (2A / h) - b_2

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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