Polynomial Operations
Factoring
Quadratics
Graphing Exponentials
Radical Operations
100
The degree of this polynomial: 5y - 9 - 2y^4 - 6y^3
What is 4?
100
Factor 15w - 3v
What is 3(5w - v)?
100
The formula for the axis of symmetry when the quadratic equation is given in standard form.
What is -b/2a?
100
The domain and range of y = 4^x.
What is domain = all reals, range = all positive real numbers?
100
Simplify the square root of 180.
What is 6 * sqrt(5)?
200
(2x^2 + 5x - 7) + (3 - 4x^2 + 6x)
What is -2x^2 + 11x - 4?
200
Factor 2mk -12m +42 - 7k.
What is (2m - 7)(k - 6)?
200
The transformation involved in the equation g(x) = (x - 3)^2 + 2.
What is shifted right 3 units and up 2 units?
200
The y-intercept of the graph y = 2^x + 1.
What is (0,2)?
200
Simplify sqrt(75qr^3).
What is 5r*sqrt(3qr)?
300
(3 - 2x + 2x^2) - (4x - 5 + 3x^2)
What is -x^2 - 6x + 8?
300
Factor x^2 + 2x - 15.
What is (x - 3)(x + 5)?
300
Solve by completing the square: x^2 - 6x + 12 = 19
What is x = 7 or x = -1?
300
The graph of 3^(x-4) + 5.
What is https://s3.amazonaws.com/grapher/exports/0zom3xu73u.png
300
Simplify 9 / (6 - sqrt(8)).
What is (27 + 9*sqrt(2)) / 14 ?
400
3(5x^2 + 2x - 4) - x(7x^2 + 2x - 3)
What is -7x^3 + 13x^2 + 9x -12?
400
Factor 27g^3 - 3g.
What is 3g(3g -1)(3g + 1)?
400
Solve using the quadratic formula: 2x^2 - 17x + 8 = 0
What is x = 8 or x = 1/2?
400
Solve 4^(2n - 1) = 64.
What is n = 2?
400
Simplify 2*sqrt(18) + 2*sqrt(32) + sqrt(72).
What is 20*sqrt(2)?
500
(4a + 7)(9a^2 + 2a -7)
What is 36a^3 + 71a^2 -14a - 49?
500
Factor 12x^2 + 69x + 45.
What is 3(4x + 3)(x + 5)?
500
Find the discriminant of 4x^2 = -16x - 16
What is -2?
500
Solve (1/27)^(2d - 2) <= 81^(d + 4).
What is d >= -1?
500
Solve 5*sqrt(a - 3) + 4 = 14.
What is a = 7?
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