Algebra Flashcards
6 cards from real COMPASS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Algebra flashcards as text
What is the domain of f(x) = 1/(x − 4)?
Answer: All real numbers except x = 4
The denominator cannot equal zero, so x − 4 ≠ 0, meaning x ≠ 4.
Which equation represents a line parallel to y = 2x + 1?
Answer: y = 2x − 5
Parallel lines have equal slopes; the original slope is 2, so y = 2x − 5 is parallel.
Evaluate: 3⁻² as a fraction
Answer: 1/9
A negative exponent means take the reciprocal: 3⁻² = 1/3² = 1/9.
Solve: |2x − 3| = 7
Answer: x = 5 or x = −2
Set up two cases: 2x − 3 = 7 (x = 5) and 2x − 3 = −7 (x = −2).
What is the vertex of the parabola y = (x − 3)² + 2?
Answer: (3, 2)
In vertex form y = (x − h)² + k, the vertex is (h, k) = (3, 2).
Simplify: (2x³)/(6x) where x ≠ 0
Answer: x²/3
Simplify coefficients (2/6 = 1/3) and subtract exponents: x³⁻¹ = x²; result: x²/3.