Linear
What is the point-Slope formula?
y-y1=m(x-x1)
Find the domain and range of the following set:
{(9, 1) (-8, 0) (-1, 7) (0, 6) (-5, -7)}
D: {-8, -5, -1, 0, 9}
R: {-7, 0, 1, 6, 7}
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
12, 14, 16, 18, ...
a(n) = 12 + (n-1)2
96
Solving Equations
5n - 2 = 8n - 14
n = 4
Solving Equations
-108 = -8(x + 6) - 4
x = 7
What is the slope of -4x-2y=8?
-2
Find the domain and range of the following set:
{(1, 1) (2, 0) (0, 3) (0, 6)}
D: {0, 1, 2}
R: {0, 1, 3, 6}
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
9, 3, 1, 1/3, ....
Geometric; 1/9, 1/27
Solving Equations
4x + 3 = 7
x = 1
What are all 4 types of Slope?
Positive, Negative, Zero, and Undefined
What strategy can be used to find the x-intercept and the y-intercept from standard form?
X-inter: (C/A, 0)
Y-inter: (0, C/B)
What are two types of ways to write domain and range?
Interval Notation and Set Notation
What is the difference between discrete and continuous?
Discrete are sets of points not connected and continuous is a connected line.
Where is the mistake?
5x + 5 + 4x = 4 - 3x + 6
9x+5= 2- 3x
12x+5=2
12x=-3
x=-3/12
x=-1/4
Right side of the equations the like terms 4 & 6 were subtracted not added.
What is the slope and y-intercept of x=7? Explain
m=Undefined and b=no y-intercept because it is a vertical line.
What is the formula for finding slope (m)?
m = y2-y1/x2-x1
On a graph what method is used to identify where the domain and or range begins and ends?
The box method.
What indicates a quadratic equation vs. exponential equation?
Quadratic will have a x2 and create a U shape.
Exponential will always be to the power of x (9x) with a curved L shape.
What are the 5 steps in solving equations?
1.Distribute
2. Combine Like Terms
3. Use addition or subtraction to remove the constant.
4. Use multiplication or division to remove the variable.
5. Isolate the variable
What is a function?
For every x value there is exactly 1 y-value.
Using the following ordered pairs what would the y-intercept be? (3,28)(4,29)(4,30)(5,31)(6,32)
(0, 25) b=25
What do the arrows on a graph indicate?
All Real Numbers
If my quadratic equation is concaved down what will the top of the U shape be called?
Maximum
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
What are all 3 types of linear equations?
Standard Form
Slope-Intercept Form
Point-Slope Form