Modded SAT Question Bank
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Test
Math
Domain
Algebra
Skill
Linear equations in one variable
Difficulty
Hard
ID: 25e1cfed
Modded SAT Question Bank by Abdullah Mallik

How many solutions does the equation 1015x-9=-156-10x have?

  1. Exactly one

  2. Exactly two

  3. Infinitely many

  4. Zero

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Correct Answer: C
Rationale

Choice C is correct. Applying the distributive property to each side of the given equation yields 150x-90=-90+150x. Applying the commutative property of addition to the right-hand side of this equation yields 150x-90=150x-90. Since the two sides of the equation are equivalent, this equation is true for any value of x. Therefore, the given equation has infinitely many solutions.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Hard
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