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 - 5y = 10?
3/5
100
Which direction should the graph of 8(x - 6)2 + 3 = y open?
open up
100
Give the vertical asymptote for
y = 1/(x-3) +7
x = 3
100
Give domain and range
domain: 2<x<4
range: 0<x<2
100
Simplify
sqrt(-75)
5isqrt(3)
200
Evaluate the expression -9x3 + 2(x - 7) + 3 for x = -2
57
200
Find the x intercept of the line 5x + 7y = 10
2
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
How many questions are on your midterm?
50
300
How would you write the expression (x + 2)2 - 7 in words?
plug in x; add two; square it; subtract 7
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 + 5 = y
x2 - 6x + 14 = 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(1)
f-1(1) = 3
400
Simplify into a single fraction
(3x)/7+(x +3)/x
(3x^2+7x+21)/(7x)
500
solve the equation ax + by = c for y
y = (c-ax)/b
500
write an equation to represent the total sales (t) for the situation: Minh is selling tickets for the carnival. Adult tickets (a) cost 5000VND and child tickets (c) cost 2000VND.
5000a + 2000c = t
500
Find the vertex form of the function 3x2 + 15x - 20 = y
3(x+2.5)2-38.75
500
What are the domain and range of
y = (x^2 - 3x - 4)/(x + 7)
domain: x not = to 7
range: all real numbers
500
If f(x) = x+ 2 and g(x) = x2 - 7 , then find f(g(x))
f(g(x)) = f(x2-7) = x2-7+2 = x2-5
500
Solve for x:
(3x + 20)/(x)= 4
20