Chapter 1
solve
-27 + 6y = 3(y-3)
x=6
what is the commutative property of multiplication?
ab =ba
Identify the function or situation as an example of exponential growth or decay.
y=12(0.95)x
exponential decay
what is the end behavior of the graph?
y=4x3 -3x
down and up
solve
1. x=2y
2. 4y= 32x +20
y= 1/3
x= 1/6
solve
3(2x-1)-2(3x+4)=11x
x=-1
is the inequality sometimes, always or never true?
-2(3x+1)-6x+7
never true
what is the value of e8?
about 2980.96
what are the zeros of f(x)=x3 -4x2 +4x?
x=0; x= 2; x=2
what is the second number in the 81st line of pascal's triangle?
81
Solve
|3x +2| = 4x=5
x= -1
give the graphing steps to solve a quadratic system of equations.
Method 1: graph the separate equations in y1 and y2. Change window settings. Find each intersection (2nd- trace- intersect). Write answers as ordered pairs
Method 2: set equations equal to each other. Get one side equal to zero. plug into y1 and graph. find zeros (2nd-trace-0 --> find y).
what is the logarithmic form of 81=34
log381 =4
what is the solution?
lnX=2
x is about 7.389
what is the solution of (x,y,z)? (hint: use substitution)
1. 2x+3y-2z= -1
2. x+5y =9
3. 4z- 5x = 4
(4,1,6)
(must be written as a ordered triple)
The given equation relates temperature in degrees Fahrenheit F and degrees Celcius C. What is F in terms of C?
C= 5/9(F-32)
F= 9/5 C+32
define the Feasible region
the constraints on a linear programming situation form a system of equations, the graph of which is the feasible region.
What is the logarithm expanded?
log9x5?
2 +5log3X
let f(x)= 2x2 +8 and g(x)= x-3. Find the following and its domain.
f+g
2x2 +x +5
Domain: all real numbers
find the slope of the line that passes through (5,4) and (8,1)
m = -1
Define Compound Inequality
When 2 inequalities are joined with "and" or "or"
what is the product?
(3i)(-5 +2i)
-6-15i
what is the slution of 4e2x +2= 16?
about .6264
what is the 9th number in the 15th line of pascal's Triangle?
6435
what is the degree of the polynomial function that generates the data shown below?
x: -3 -2 -1 0 1 2 3
Y: -1 -7 -3 5 11 9 -7
cubic polynomial
degree of 3