Exponents & Exponential Functions
Rewrite x⁻³ with a positive exponent.
What is 1/x³?
Classify the polynomial 2x - 4 by its degree.
What is a Linear Polynomial?
For y = (x - 7)² - 8, find the coordinates of the vertex.
What is (7, -8)?
Solve: (x + 2)(x - 4) = 0.
What is x = -2 and x = 4?
Nintendo was founded in this Japanese city in 1889, originally to produce handmade hanafuda playing cards.
What is Kyoto?
Simplify the radical √50.
What is 5√2?
Multiply and simplify: (x - 3)(x + 7).
What is x² + 4x - 21?
For y = 3(x - 2)² - 27, find the equation of the axis of symmetry.
What is x = 2?
Solve by factoring: 2x² - 4x = 0.
What is x = 0 and x = 2?
This 1985 console, known in Japan as the Famicom, helped revive the home video game market in North America.
What is the Nintendo Entertainment System (NES)?
Simplify (2x⁻²y⁶)⁴. Leave no negative exponents.
What is 16y²⁴/x⁸?
Factor completely: x² - 25.
What is (x - 5)(x + 5)?
In the equation k(x) = 2(x + 4)² - 9, state the transformations in words.
What is vertical stretch by 2, left 4, down 9?
Solve using square roots: 3x² - 75 = 0.
What is x = 5 and x = -5?
This Nintendo designer created Donkey Kong, Mario, and The Legend of Zelda.
Who is Shigeru Miyamoto?
A sequence goes 4, -8, 16, -32, ... Tell if it is geometric or arithmetic, and tell the common ratio or difference.
What is Geometric with r=-2?
Factor completely: x² - 10x + 24.
What is (x - 4)(x - 6)?
For y = x² - 8x + 10, find the equation of the axis of symmetry.
What is x = 4?
Tell the quadratic formula.
What is x = [-b ± √(b² - 4ac)] / 2a?
Mario first appeared in the 1981 arcade game Donkey Kong, where he was originally called by this name.
What is Jumpman?
A population of 1,100 deer decreases 4% per year. Using f(t) = A(1 - r)^t, this is the population after 5 years.
What is about 897 deer?
Factor completely by grouping: x³ + 3x² + 4x + 12.
What is (x + 3)(x² + 4)?
A quadratic graph does not touch the x-axis at all. Tell how many x-intercepts it has, and tell what kind of number the discriminant is.
What is no x-intercepts, negative discriminant?
For 2x² - 5x + 8, find the discriminant, and tell how many real solutions there must be.
What is -39, and no real solutions?
This commercially unsuccessful 1995 console used red monochrome 3D graphics on a tabletop headset and was discontinued within a year.
What is the Virtual Boy?