Linear Functions
What is the slope of the following graph?
m = 2/5
Sketch what an increasing and decreasing exponential function look like. Sketch 2 graphs and label them.
Given the factored form y = (x + 4) (x - 5), what are the x-intercepts of the quadratic?
x = -4
x = 5
Simplify the following expression:
(xy5)(x4y3)
x5y8
If you're going to use the Equal Values Method to solve a system of equations, what should the system of equations look like?
Ex/
y = 2x + 2
y = 4x + 4
What is the equation for a linear function?
Label the components.
y = mx + b
m = slope
b = y-intercept/starting value
If an exponential function is increasing, what do you know about the multiplier? What about decreasing?
Increasing: Multiplier is greater than 1
Decreasing: Multiplier is less than 1 and greater than 0 (Think decimal or fraction)
What is the y-intercept of the following quadratic equation? How can you tell?
y = x2 +2x - 8
y-intercept = -8
The "c" of y = ax2 + bx + c is the y-intercept.
Simplify the following expression:
x14/x4
x10
If you're going to use the Substitution Method to solve a system of equations, what should the system of equations look like?
One of the equations has " y = " so you can easily substitute
Ex/
y = 4x + 12
5y + 2x = 10
What is the equation for the following graph?
y = 2/5x + 1
What is the equation of an exponential function?
Label the components.
y = abx
a = y-intercept/starting value
b = multiplier
Show the set up for factoring a quadratic expression given the standard form equation y=ax2 + bx + c
See Image
Simplify the following expression:
18x4/6x9
3x-5 = 3/x5
If you're going to use the Elimination Method to solve a system of equations, what should the system of equations look like?
Terms of the Equation should be easy to eliminate (zero/cancel out)
Look for Opposites or Terms that can be easily made opposites by multiplication:
Ex/
2x + 12y = 4 4x + 5y = 4
-2x - 4y = 6 2x + 7y = 5
What is the equation for the following graph
y = -3/2x - 5
Graph the following exponential equation:
y = 2(2)x
See graph
Find the x and y intercepts of the following quadratic equation:
y = 2x2 - 2x - 12
x = 3
x = -2
y = -12
Simplify the following expression:
Show Problem
x1/4
Solve the following System of Equations:
y = -3x + 5
5x - 4y = -3
(1,2)
Create a graph and table for the following equation:
y = -1/3x + 2
Check Graph
Graph the following exponential equation:
y = 30(1/3)x
See graph
Sketch the graph of the following quadratic by finding the x and y intercepts.
y = 3x2 + 9x + 6
x = -2
x = -1
y = 6
See graph
Simplify the following expression:
Show Problem
x2
Solve the following System of Equations:
−7x + y = −19
−2x + 3y = −19
(2,-5)