Linear Equations
What is the slope of the line represented by the equation y = 3x + 2?
3
Simplify: 2³
8 (2 × 2 × 2)
What is the standard form of a quadratic equation?
y = ax² + bx + c
What fruit is known as the “king of fruits” and has a strong smell?
Durian
How many legs does a spider have?
8
Solve for x: 2x - 4 = 10
x = 7
Simplify: (x²)(x³)
x⁵ (Add exponents: 2 + 3)
Identify the vertex of the parabola: y = (x - 2)² + 3
(2, 3) (Vertex form: y = a(x - h)² + k → vertex is (h, k)
What fast food chain has a clown as a mascot?
McDonald’s
What is the capital city of France?
Paris
Write an equation of a line with a slope of 2 and a y-intercept of -5
y = 2x - 5
Simplify: (2x³)²
4x⁶ ((2²)(x³)² = 4x⁶)
Solve by factoring: x² - 5x + 6 = 0
x = 2 and x = 3 (Factor to (x - 2)(x - 3) = 0)
What country is sushi originally from?
Japan
What planet is known as the “Red Planet”?
Mars
The line y = -4x + 6 intersects the y-axis at what point? Explain what this point means
(0, 6) This is the y-intercept, where the line crosses the y-axis
Simplify and express with positive exponents: x⁻²y³ / x⁴y
1 / (x⁶y⁻²) = y² / x⁶ (Simplify and write with positive exponents)
What is the axis of symmetry for the function y = -2x² + 8x - 5?
x = 2 (Axis of symmetry formula: x = -b/2a = -8 / (2 * -2))
What is the main ingredient in guacamole?
Avocado
What gas do humans need to breathe in order to live?
Oxygen
A line passes through the points (2, 3) and (6, 11). What is its equation in slope-intercept form?
y = 2x - 1 (Find slope = (11-3)/(6-2) = 2, use point-slope form, convert to slope-intercept.)
Solve: If 3^(2x) = 81, what is x?
x = 2 (3² = 9, 3⁴ = 81, so 2x = 4 → x = 2)
A ball is thrown in the air. Its height in meters is modeled by h(t) = -5t² + 20t + 1. What is the maximum height of the ball?
21 meters (Find vertex: t = -b/2a = -20/(2*-5) = 2; plug in h(2) = -5(2)² + 20(2) + 1 = 21)
What type of pasta’s name means “little worms” in Italian?
Vermicelli
What is the only number that has the same number of letters as its value?
Four