ACT Math · Number operations and exponents
Solve for x: √(2x - 3) = 5.
Solve for : .
Answer and explanation
Answer: A: 14
Square both sides to remove the radical: . Add : . Divide by : , choice A. Always check for extraneous solutions when squaring: , which is correct. Choice D () stops at and does not divide by . Choice B () subtracts instead of adding it: , which gives , not . Choice C () does not work: , not . Squaring can introduce extra roots, so the check is always needed.
More Number operations and exponents questions
- Question 1Simplify: (a³/4)^4/3 for a > 0.
- Question 6Which expression is equivalent to √(200)?
- Question 44What is (3.2 × 10^5)(2 × 10^-3)?
- Question 45Which expression is equivalent to (2x^-3y²)^-2 for x, y ≠ 0?
- Question 46The repeating decimal 0.63 (63 repeating) is equivalent to which fraction?
- Question 89Which expression is equivalent to 5√(3) with a rationalized denominator?
Learn the method behind questions like this one
The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.