Question how-ma
How many solutions does the equation have?
Exactly one
Exactly two
Infinitely many
Zero
How many solutions does the equation 12 x - 3 = - 3 x + 12
Hard-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. Distributing on the left-hand side and on the right-hand side of the given equation yields . Adding to each side of this equation yields . Adding to each side of this equation yields . Dividing each side of this equation by yields . This means that is the only solution to the given equation. Therefore, the given equation has exactly one solution.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
More Linear Equations in One Variable practice questions
- What value of p satisfies the equation 5 p + 180 = 250 ?
- Blood volume, , in a human can be determined using the equation , where
- On the first day of a semester, a film club has 90 members. Each
- x + 40 = 95 What value of x is the solution to the
- If 2 ( 3 t - 10 ) + t = 40 + 4
- v = - w 150 x The given equation relates the distinct positive numbers
- If 4 x - 28 = - 24 , what is the value of
- 1 4 x + 5 - 1 3 x + 5 = - 7
Browse all Heart of Algebra practice questions or return to the full SAT question bank.