| Equations, Inequalities, Functions | Quadratic Functions | Trigonometry | Series, Exponential and Logarithmic Functions | Miscellaneous |
|---|---|---|---|---|
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What type of function is y = x² + 51x ?
Quadratic function
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What is the quadratic equation in standard form?
ax^2 + bx + c = 0
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Find Cos(42)
(round to the nearest four places)
0.7431
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Find the 12th term of a(n) = n(n+2)
168
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Simplify: (4x^2+2x)(3x)
12x^3 + 9x^2
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Given f(x) = x^2 − 4x + 5, find f(2)
f(2) = 1
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What is the quadratic formula?
x = −b ± √(b2 − 4ac) / 2a
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Find S(5) for the sequence: a(n) = (-1)^n * 2^n
-22
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Solve for x (2 answers):
x = 9 or x = -11
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Write an equation for a line with a slope of 3 and a
y-intercept −2
y = 3x -2
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How is a complex number expressed?
a + bi
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The perimeter of a square is 24in. Find the length of the diagonal.
6√2in
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FInd the 9th term of the sequence: 1, √2, 2 ...
16
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What is the difference between a binomial and a trinomial?
A binomial has two terms and the trinomial has three terms.
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Given f(x) = 3x + 2 and g(x) = 2x − 1, find (f + g)(x) and simplify
5x^2 + x
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Solve: x^2 + 8x +7 > 0
x > -1 or x < -7
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Define all Trig Ratios
Sine = Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse Tangent=Opposite/Hypotenuse |
What exponential equation is the logarithmic function
y = log(a)x equivalent to?
x = a^y
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Which expression is equivalent to
-3x(x - 4) - 2x(x + 3)?
-5x² + 6x
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Amy tossed a ball in the air in such a way that the path of the ball was modeled by the equation
y = −x² + 6x. In the equation, y represents the height of the ball in feet and x is the time in seconds. At what time, x, is the ball at its highest point?
At x = 3 sec, the ball is at its highest point.
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Solve this system: y = x^2 + 2x
y = x^2 +1
(1, 3)
(-1,-1) |
From where is the Law of Cosines derived?
Pythagorean Theorem
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Find the first 4 terms of the sequence:
a(1) = -2 a(n+1) = (a(n))^2 + 3
-2, 7, -52, 2707
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Given: 4x^3y^2^z
Name the coefficient, variables and exponents
Coefficient = 4
Variables = x, y, and z Exponents = 3, 2, and 1 |
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