Vocabulary
Two lines with the same slopes, but different y-intercepts
parallel lines
Domain of function with points (0, -1), (2, 1), (3, 2), (4, -6).
0, 2, 3, 4
The slope of the line y=1/3 x + 4.
1/3
Solve for x.
2x+12=10
x=-1
Solve 271/3.
3
(y2-y1)/(x2-x1)
slope formula
Define a function.
Each input has exactly one output
The point on the line y-4=-6(x+3).
(-3, 4)
Solve for w.
(w-4)/2 = 14
w=32
Is (-4, 6) a solution to the equation y=-3x+6?
No
Two lines with the same slope and y-intercept.
coinciding lines
Are the following points a function: (0, -2), (5, 3), (8, -2), (9, 4)?
Yes
The slope of a line with points (-4, 7) and (2, -9).
-8/3
Solve for b.
a2+b2=c2
b=√(c2 - a2)
Is the inequality -2y>x+5 shaded above the line?
No
y-y1=m(x-x1)
point-slope formula
Inverse of the function f(x)=2x+1.
f-1(x) = 1/2 x - 1/2
The slope-intercept equation of the points (5, 1) and (7, 5).
y=2x-9
Solve for m.
3m-sw=2p
m=(2p+sw)/3
The first 3 terms in the sequence with the explicit rule f(n) = n3 + 1.
f(1)=2, f(2)=9, f(3)=28
The inputs and outputs of a function (the x and y values).
domain and range
Inverse of the function f(x)=3/2x-8.
f-1(x) = 2/3 x + 16/3
The intersection point of the line f(x)=2x+5 and g(x)=x-2 (i.e. the point where they are equal).
(-7,-9)
Solve for p.
(2/3)pr + 6 = 20
p=21/r
Solve 253/2 + 162/4.
129