Graphing
What is the solution to the system of equations?
y = 3x + 1
y = -x - 3
(-1, 2)
What is the first step when solving using the substitution method?
Isolate one equation for one variable.
What is required in a system of equations to use the elimination method?
Same variable, same coefficient, opposite signs
At their intersection
Combine the like terms
-2s + 17b -4s
-6s + 17b
What is the solution to the system
y=-x+1
y=-4x-2
What is the solution to the system
y = -2x + 1
y = 1
(0,1)
What is the solution to the system
2x - 10y = -2
-2x - 8y = 2
(-1,0)
In slope-intercept form of a line
y = mx + b
what is the y-intercept?
b
f(x) = 3x+2
what does f(2) require you to do?
Plug 2 into the x.
=3(2) +2
What is the solution to the system
y = -x - 2
y = -x
No Solution
What is the solution to the system
-x + y = -5
6x - 5y = 24
(-1,-6)
What is the solution to the system
-x - y = -5
-x - y = -10
No Solution
In the slope-intercept form of a line
y = mx + b
how do you use m?
rise and run from the y-intercept
In the set of numbers
{(1,2), (-3, 4) (12, -4) (6, -1)}
What is the domain?
{1, -3, 12, 6}
What is the solution to the system
x + 4y = 12
3x + 2y = -4
(-4,4)
What is the solution to the system
-x + y = -3
x - y = 3
Infinite number of solutions
What is the solution to the system
9x - 5y = 8
10x - 10y = 0
(2,2)
y-y1 =m(x-x1)
which letters do you plug in a given coordinate?
(x1,y1)
In the set of numbers
{(1,2), (-3, 4) (12, -4) (6, -1)}
What is the range?
{2, 4, -4, -1}
What is the solution to the system
8x - 3y = -12
y = -4
(-3,-4)
What is the solution to the system
y = 1 3x - 3
y = -15
(-4,1)
What is the solution to the system
-2x + 8y = 12
-3x - 3y = 1
(-6,0)
ax + by = c
what ratio represents the slope?
-a/b
What is the domain for Linear, Quadratic, and Exponential functions?
All real numbers