Trigonometry
What is the sine of a 30-degree angle?
Answer: 0.5
What is the probability of flipping a fair coin and getting heads?
Answer: 0.5
What is the standard form of a quadratic equation?
Answer: ax² × bx + c = 0
What is the axis of symmetry for the parabola y=x2+6x+8?
Answer: x=−3
What is 2³?
Answer: 8
What is the cosine of a 45-degree angle?
Answer: √(2/2)
What is the probability of rolling a 3 on a fair six-sided die?
Answer: 1/6
What is the vertex form of a quadratic equation?
Answer: y = a (x - h)² + k
Convert the quadratic equation y=x2+4x+4 to vertex form.
Answer: y=(x+2)²
Simplify (x2)³
Answer: x⁶
What is the tangent of a 60-degree angle?
√3
What is the probability of drawing an ace from a standard deck of 52 cards?
Answer: 4/52 or 1/13
Find the vertex of the quadratic function y=2(x−3)²+4
Answer: (3, 4)
Determine the y-intercept of the quadratic function y=3x²−2x+1
Answer: 1
Simplify 2⁵/2²
Answer: 2³ or 8
Solve for θ if sin(θ) = 0.866.
Answer: 60 degrees (or 120 degrees)
What is the probability of drawing two aces in a row from a deck of 52 cards without replacement?
Answer: 4/52 x 3/51 or 1/221
Solve the quadratic equation x2−4x+4=0.
Answer: x=2x=2
Find the discriminant of the quadratic equation 2x²−4x+1=0 and interpret its meaning.
Answer: Discriminant is 8 (since 16−8=8), which means two distinct real roots.
Solve for x: 3x =81.
Answer: x = 4
Determine the amplitude and period of the function y = 3sin(2x).
Answer: Amplitude is 3, Period is π
If a bag contains 5 red, 3 blue, and 2 green marbles, what is the probability of drawing two blue marbles in a row without replacement?
Answer 3/10 x 2/9 or 1/15
If the roots of a quadratic equation are 3 and -2, what is the equation?
Answer: (x−3)(x+2)=0 or x2−x−6=0x2−x−6=0
Solve the quadratic equation 2x²-3x-2=0 using the quadratic formula.
Answer: x = 3+√17/4
Simplify (2x³y²)².
Answer 4x⁶y⁴