Expressions and Equations
Linear
Quadratic
Rational Functions
Function Vocab
Other
100
Write the expression for: plug in x; multiply by -2; cube it; divide by 4
(-2x)3/4
100
What is the slope of the line 3x + 7y = 10?
-3/7
100
Which direction should the graph of -(x - 6)2 + 3 = y open?
open down
100
Give the vertical asymptote for
y = 1/(x-3) +7
x = 3
100
Function or not? WHY?
yes, passes vertical line test (or all inputs only have one output)
100
Simplify
sqrt(-150)
5isqrt(6)
200
Evaluate the expression -9x3 + 2(x - 7) + 3 for x = -2
57
200
Find the x intercept of the line 3x + 7y = 10
10/3
200
Convert to standard form: (8x - 7)(3x + 4) = y
24x2+11x - 28 = y
200
Give the horizontal asymptote for
y = 1/(x-3) +7
y = 7
200
What is the minimum of this graph?
(1, -1)
200
When is your midterm?
Thursday
300
Give an expression equivalent to 3d + 9x - 8
3(d+3x)-8 or anything that splits up things into more like terms (ie, d + 2d + 5x + 4x - 8)
300
Write the point-slope equation of the line through (0, 7) and (-2, 3)
2(x + 2) = y - 3
OR
2(x - 0) = y - 7
300
Give the factored form of 3x2 + 11x - 20 = y
(3x - 4)(x + 5)
300
Give the domain and range for
y = (x - 3)/(x^2 + 3x + 2)
Domain:
x != -2, -1
Range:
y != 0
300
Draw a graph of a function that is not one-to-one
anything that passes the vertical line test but fails the horizontal line test
300
Give an equation that matches the graph
y = 1/(x+-a)+-b
y = 1/(x-5) + 3
400
Graph the solution to -5x + 5 < 15 on a number line
open dot at -2. Arrow to the right
400
Write the equation of the line in slope-intercept form
y = -2/3x + 5
400
Convert to standard form: (x - 3)2 + 8 = y
x2 - 6x + 17 = y
400
Simplify the expression
(x^2 + 5x - 14)/(x^2 + 10x + 21)
(x-2)/(x+3)
400
Use the graph to find f-1(7)
f-1(7) = 8
400
Simplify into a single fraction
(3x)/7+(x +3)/x
(3x^2+7x+21)/(7x)
500
Solve for x: |3x+18| = 6x
x = 6
x = -2 is extraneous solution
500
Describe the graph of the inequality y > -7x + 4. (dashed or solid; shade where?)
dashed line. shade above the line
500
Find the vertex of the function 3x2 + 15x - 20 = y
(-2.5, -38.75)
500
What are the x and y intercepts of
y = (x^2 - 3x - 4)/(x + 7)
x intercept at (4,0) and (-1,0)
y intercept at (0,-4/7)
500
If f(x) = x+ 2 and g(x) = x2 - 7 , then find g(f(x))
g(f(x)) = g(x+2) = (x+2)2 - 7 = x2 + 4x -3
500
Solve for x:
(3x + 20)/(2x)= 4
3x + 20 = 8x --> 20 = 5x --> 4 = x