Question 3 Answer & Explanation - SAT Algebra

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algebra

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

b_1 = (2A - b_2) / h

b_1 = 2A - h - b_2

Correct Answer: B

Choice Ahoice C is the correct answer.

Start: $A = \frac{1}{2}h(b_1 + b_2)$
Multiply by 2: $2A = h(b_1 + b_2)$
Divide by h: $\frac{2A}{h} = b_1 + b_2$
Subtract $b_2$ : $b_1 = \frac{2A}{h} - b_2$

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.

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