Bachelor of Liberal Arts For Math Flashcards
7 cards from real B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Bachelor of Liberal Arts For Math flashcards as text
Which of the following is NOT a property of a parallelogram?
Answer: All angles are right angles
All angles being right angles is a property of rectangles specifically, not all parallelograms.
What is the slope of a line perpendicular to y = 3x - 4?
Answer: -1/3
The slope of y = 3x - 4 is 3; the perpendicular slope is the negative reciprocal, -1/3.
Simplify: (2³ × 2⁴) ÷ 2⁵
Answer: 2²
2³ × 2⁴ = 2⁷; then 2⁷ ÷ 2⁵ = 2² = 4.
A store marks up an item 40% from its cost of $50. What is the selling price?
Answer: $70
Markup = 40% × $50 = $20; selling price = $50 + $20 = $70.
What is the range of the function f(x) = x² + 1?
Answer: y ≥ 1
Since x² ≥ 0 for all real x, f(x) = x² + 1 ≥ 1, so the range is [1, ∞).
Which set of side lengths forms a valid triangle?
Answer: 5, 7, 11
The triangle inequality requires a+b > c; for 5, 7, 11: 5+7=12 > 11 ✓.
What is the value of the arithmetic series 1 + 2 + 3 + ... + 20?
Answer: 210
Using the formula n(n+1)/2: 20(21)/2 = 210.