Question #550b352c - SAT Suite Question Bank

ID: 550b352c

Modded SAT Question Bank by Abdullah Mallik

$10 equals, 2 x plus 4$

How many solutions exist to the equation shown above?

None
Exactly 1
Exactly 3
Infinitely many

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Correct Answer: B

Rationale

Choice B is correct. Subtracting 4 from each side of the given equation yields $6 equals 2 x$ , or $x equals 3$ , so the equation has a unique solution of $x equals 3$ .

Choice A is incorrect. Since 3 is a value of x that satisfies the given equation, the equation has at least 1 solution. Choice C is incorrect. Linear equations can have 0, 1, or infinitely many solutions; no linear equation has exactly 3 solutions. Choice D is incorrect. If a linear equation has infinitely many solutions, it can be reduced to $0 equals 0$ . This equation reduces to $x equals 3$ , so there is only 1 solution.

Question Difficulty: Easy