Linear Functions
Solve for x.
5x + 6 = 7x - 3
x = 4.5
Solve the System.
-4x+3y=-2
y=x-1
x=1
y=2/3
y = 4(.65)x
State the following:
Growth or Decay
y-intercept
Growth/Decay Rate
Growth/Decay Factor
Growth or Decay: DECAY
y-intercept: 4
Growth/Decay Rate: 35%
Growth/Decay Factor: .65
Find the zeros.
x2-8x+15=0
x=3
x=5
Classify the Polynomial by Degree and Number of Terms.
x4-3x2+2
Quartic Trinomial
Solve for x.
2x + 5 + 3 = 7 + x + x + x
x = 1
Solve the System.
-3y+4x=13
-5y-6x=-67
x=7
y=5
Write an Equation to represent the data.
State how many lions there will be after 10 years.
Growth of a lion population
| Years (x) | 0 | 1 | 2 |
|---|---|---|---|
| Population (y) | 100 | 500 | 2500 |
Equation: y=100*5x
Population After 10 Years: 976562500 Lions
Find the zeros.
2x2-16x+14=0
x=1
x=7
Factor.
x2+10x-2x-20
(x+10)(x-2)
a = bh/2
Solve for h.
h = 2a/b
Solve the System.
6x−5y=15
x=y+3
x=0
y=-3
Rewrite 5 = log2 36 into exponential form
25 = 36
y = x2 - 6x + 5
Find the zeros
Find the Axis of Symmetry.
Find the Vertex.
Does the parabola face up or down?
Does it have a maximum or a minimum?
Zeros: x=1, x=5
Axis of Symmetry: x=3
Vertex: (3,-4)
The parabola faces up.
It has a minimum
Determine the end behavior of the Polynomial.
(You CANNOT use a graph!)
y = -3x4 + 4x3 - x2 + 12
Down/Down
Solve for a.
2a + 5a + 21 = 27 + 2a + 31
a = 7 2/5
Solve the Absolute Value Equation for x.
|x+5|=12
x=7
x=-17
Evaluate the Logarithm.
log4 16 = x
4x = 16
Graph the Quadratic in your notebook.
y = x2 -4x + 10
We will come around and check it!
Expand.
(4n - 10)2
16n2-80n+100
Solve for x.
Y = 3
x = 0
Graph the System in your notebook.
y is less than or equal to -3x + 4
y is greater than 5x - 7
We will come around and check your graphs!
Solve the Logarithm.
log5 x = 6
x = 15625
Rational Functions!
2/p2 -5p + 4 (-) 10/p2 - 16
-8p + 18/(p-1)(p-4)(P+4)
Rational Functions!
Simplify.
10y2 + 15y
/
40y2 - 10y
(2y + 3)
/
2(4y - 1)