SAT Math · Linear equations in one variable · medium

What is the value of x if x/2+13 = 4?

What is the value of xx if x2+13=4\dfrac{\frac{x}{2}+1}{3} = 4?

Answer and explanation

Answer: A: 22

Undo the operations in reverse order. Multiply both sides of x2+13=4\frac{\frac{x}{2} + 1}{3} = 4 by 3 to get x2+1=12\frac{x}{2} + 1 = 12. Subtract 1: x2=11\frac{x}{2} = 11. Multiply by 2: x=22x = 22, choice A. Check: 222+1=12\frac{22}{2} + 1 = 12, and 123=4\frac{12}{3} = 4. The other choices fail the check. Choice B (10) gives 63=2\frac{6}{3} = 2, which comes from forgetting the final multiplication by 2 after subtracting 1 and stopping at 11 and then subtracting again. Choice C (6) gives 43\frac{4}{3}. Choice D (34) gives 6, which comes from adding 1 instead of subtracting it.

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