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Functions & Equations
Exponents & Factoring
Solving
Polynomials & Factoring
Misc.
100
Find f(m+4) if f(x) = 3 - 2x
f(m+4) = -2m-5
100
the "shortcut" for raising a power to a power
keep the base, multiply the exponents
100
Solve for x: |4x-2|+6=3
no solution
100
Determine whether the polynomial function is odd, even or neither. f(x) = 3x^5 - 4x^3 - 2x
odd
100
Describe the end behavior of the graph of the function: g(x) = 3x^3 - 5x^5 + x
rises to the left falls to the right
200
Describe the horizontal shift, vertical shift, and width of the function g(x) = 1/3 (x - 4)^5 + 6 from the parent graph f(x) = x^5.
HS - right 4 VS - up 6 width - wide
200
Find the degree of each term and the degree of the polynomial: 5x^7 y + 3x^3 y^2 - 15x^6 y^5 + 6
terms: 8, 5, 11, 0 polynomial: 11
200
Solve (interval notation): 3(x-7) <= 5x + 6 - x
[-27, infinity)
200
Factor: 6x^3 - 15x^2
3x^2 (2x - 5)
200
How can you tell from a graph whether a function is even or odd
even - reflects over the y-axis odd - rotates 180 degrees about the origin
300
Determine whether the lines are parallel, perpendicular, coinciding or none: Line 1: 3x + y = 7 Line 2: (-4, 19) and (3, -2)
coinciding
300
(25x^-1 y^3) (-5x^-10 y^-16)^-1
-5x^6 /y^13
300
Find the value of x in the system of equations: 3x - 2y - 6 = 0 and 5x + y - 10 = 0
x = 2
300
Factor completely: 4x^2 + 8x - 21
(2x + 7)(2x - 3)
300
the number of questions on the benchmark exam
35
400
Write the equation in slope-intercept form of the equation that passes through the point (2, 1) and is perpendicular to the line 6x - 4y = 5.
y=-2/3 x + 7/3
400
Factor completely: 8x^3 - 28x^2 +12x
4x(2x - 1)(x - 3)
400
Solve (answer in interval notation). -7 <= 3x + 11 < 14
[-6, 1)
400
Find the zeros of the function: f(x) = 6x^3 + 13x^2 + 5x
x = -5/3, -1/2, 0
400
the mascot at my high school
Cougars
500
Write the equation in standard form of the line that passes through the points (-2, 5) and (-5, 1)
4x - 3y = -23
500
Factor completely: 3x^3 + 24
3(x + 2)(x^2 - 2x + 4)
500
Solve (answer in interval notation): |5x - 10| > 15
(-infinity, -1) U (5, infinity)
500
Solve x^3 + 5x^2 = 9x + 45
x = -5, -3, 3
500
Divide using long division: (3x^3 + 17x^2 + 4x - 7) divided by (3x + 2)
x^2 + 5x - 2 - 3/(3x+2)