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LinearFunctions
Systems&
SimplifyingQuadratics Polynomials
REDDY’S ALGEBRA 2 JEOPARDY – Units 1 - 4
What is the slope of a linethrough the points
A(3, -1) and B(-17, 9)?
m = - 1/2
What are the intercepts of the line
-12x = -60 - 4y?
x-intercept: (5, 0)
y-intercept: (0, -15)
What is the inverse of the function
€
f (x) =2
7x − 5?
€
f −1(x) =7
2x +
35
2
Graph.
€
f (x) =x
4−1 +1
Simplify, expressing your answer as a fraction.
€
13
+35
34
− 4
€
−56
195
Simplify
€
(5i14 − 2)(6i)3( −1)−2
€
−1512i
Matrix A is below. Find A-1
€
A =4 3
−1 2
⎡
⎣ ⎢
⎤
⎦ ⎥
€
A−1 =
2
11−
3
111
11
4
11
⎡
⎣
⎢ ⎢ ⎢
⎤
⎦
⎥ ⎥ ⎥
Solve the following system using Cramer’s Rule
€
x − 3y = 6
2x + y = 4
x = 18/7
y = -8/7
Find the roots of the quadratic
€
f (x) = 2x2 − 6x + 4
x = 1
x = 2
Solve.
€
f (x) =2
5x2 − x +
3
5
X = 1
X = 3/2
List the steps, in order, of solving
a quadratic via completing
the square method
1. Evaluate f(x) at 0.
2. Isolate the constant term.
3. If a does not = 1, divide by a.
4. Add the square of one half of the coefficient of x to both sides.
5. Factor one side to be the square of a binomial.
6. Square root both sides.
7. Solve for the variable.
Find a quadratic with the following roots:
x = 3 + 2i
x = 3 - 2i
€
f (x) = x2 − 6x +13
Find the first and second derivative of
€
f (x) = 5x9 −14x4 + 2x3 − 4x−3
€
′ f (x) = 45x8 − 56x3 + 6x2 +12x−4
€
′ ′ f (x) = 360x7 −168x2 +12x − 48x−5
Find a polynomial with the
given roots:
x = -2, 0, 1, 3
€
f (x) = x4 − 2x3 − 5x2 + 6x(or any scalar multiple)
Divide
(you may NOT use synthetic division)
€
3x4 − 2x3 + x − 8
x + 2
€
3x3 + 4x2 + 8x +17 +26
x + 2
Graph, labeling the critical points of the curve
(roots, extrema, inflection point).
€
f (x) = 3x3 + 6x2 + 3x